CV, Publications, Conferences & Citations [April 2024] - Downloadable format

Education 

• Oct. 2010 - Sep. 2013: PhD degree in Mathematics, Faculty of Mathematics and Informatics, West University of Timişoara. Members of the committee: P. Jebelean (advisor), G. Dincă, C. Lefter and R. Precup. Thesis: “Existence and multiplicity results for discrete p(.)-Laplacian and singular ϕ-Laplacian” (Thesis.pdf); 

• Sep. 2012: Certificate of Completion – Grade A (ERASMUS Code: 2012-2-PL1-ERA10-28972) in International Summer School of Mathematics “Analytical and computer assisted methods in mathematical models”, Karlsruhe Institute für Technology (KIT), Germany; 

• Oct. 2008 - Jul. 2010: Master’s degree in Applied Statistics and Informatics (MSc), West University of Timişoara. Thesis: “Nonlinear difference equations”, P. Jebelean (advisor); 

• Oct. 2008 - Apr. 2010: Postuniversity Specialization in Computer Science degree, West University of Timişoara. Thesis: “Modular arithmetic problems solved in Visual C++”, V. Iordan (advisor); 

• Oct. 2004 - Jun. 2008: Bachelor degree in Mathematics and Computer Science (BSc), West University of Timişoara. Thesis: “Boole Algebras”, V. Popuţa (advisor).

Positions and employment history

• Sep. 2009 - to date: Professor of Mathematics and Informatics at “Banatul” Sport High School Timișoara;

• Nov. 2020 - to date:  Computer scientist (informatician) at “Banatul” Sport High School Timișoara;

• Feb. 2016 - Oct. 2022: Associate Assistant (external) at the Faculty of Mathematics and Informatics, West University of Timișoara (held seminaries in Partial Differential Equations & Calculus of Variations); 

• May 2018 - Apr. 2020: Postdoctoral Researcher and Project Coordinator of the Grant PN-III-P1-1.1-PD-2016-0040 – “Multiple solutions for systems with singular ϕ-Laplacian” – 24 months, financed by UEFISCDI;

• Jun. 2014 - Dec. 2015: Postdoctoral Researcher in Project POSDRU/159/1.5/S/ 137750 -“Project Doctoral and Postdoctoral programs support for increased competitiveness in Exact Sciences research”, co-financed by the European Social Fund – scholarship obtained by competition;

• 2011-2014: Junior Researcher in the Grant PN-II-RU-TE-2011-3-0157 - “Critical point theory and degree theory for nonlinear problems with relativistic Laplacians”, financed by UEFISCDI, (PI: C. Bereanu).

Publications

Articles in journals ranked ISI

1. P. Jebelean, J. Mawhin, C. Șerban, Periodic solutions for p(t)-Lienard equations with a singular nonlinearity of attractive type, submitted [link ArXiv].

2. P. Jebelean, C. Șerban, S. Tersian, Multiple solutions to relativistic systems with potential boundary conditions, Proceedings of the Edinburgh Mathematical Society, accepted 2025 (YELLOW zone journal). 

3. P. Jebelean, C. Șerban, Non-potential systems with relativistic operators and maximal monotone boundary conditions, Journal of Fixed Point Theory and Applications 27:45 (2025), 1-11 (YELLOW zone journal). [link]

4. A. Cabada, P. Jebelean, C. Șerban, Dirichlet systems with discrete relativistic operator, Bulletin of the London Mathematical Society 56 (2024), 1149-1168 (RED zone journal). [link]

5. A. Chinni, B. Di Bella, P. Jebelean, C. Șerban, Multiple solutions for a class of p-biharmonic problems with potential boundary conditions, Nonlinear Analysis: Real World Applications 76 (2024) 104012 (RED zone journal). [link]

6. P. Jebelean, C. Șerban, Relativistic type systems with parametric odd nonlinearities, Commun. Pure Appl. Anal. 22 (3) (2023), 736-750 (YELLOW zone journal). [link]

7. P. Jebelean, C. Șerban, Multiple periodic solutions for odd perturbations of the discrete relativistic operator, Mathematics 10(9) (2022), Special Issue Nonlinear Functional Analysis and Its Applications 2021, ID: 1595  (RED zone journal). [link] 

8. A. Chinni, B. Di Bella, P. Jebelean, C. Șerban, Periodic solutions for systems with p-relativistic operator and unbounded discontinuous nonlinearities, Mediterr. J. Math. 18 (22) (2021) (YELLOW zone journal). [link]

9. P. Jebelean, C. Șerban, Fisher-Kolmogorov type perturbations of the mean curvature operator in Minkowski space, Electron. J. Qual. Theory Differ. Equ. 81 (2020), 1-12  (RED zone journal). [link] 

10. P. Jebelean, J. Mawhin, C. Șerban, Multiple critical orbits to partial periodic perturbations of the p-relativistic operator, Appl. Math. Lett. 104 (2020), ID: 106220 (RED zone journal). [link] 

11. D. Gurban, P. Jebelean, C. Șerban, Non-potential and non-radial Dirichlet systems with mean curvature operator in Minkowski space, Discrete Contin. Dyn. Syst. A 40 (1) (2020), 133-151 (YELLOW zone journal).  [link]

12. C. Şerban, Multiple solutions of Neumann systems of relativistic-type, Minimax Theory and its Applications 3 (1) (2018), 47-56. [link]

13. P. Jebelean, C. Şerban, Fisher-Kolmogorov type perturbations of the relativistic operator: differential vs difference, Proc. Amer. Math. Soc. 146 (2018), 2005-2014 (YELLOW zone journal). [link]

14. G. Bonanno, P. Jebelean, C. Şerban, Three periodic solutions for discontinuous perturbations of the vector p-Laplacian operator, Proc. Roy. Soc. Edinburgh Sect. A: Mathematics 147A (2017), 673-681 (RED zone journal). [link]

15. D. Gurban, P. Jebelean, C. Şerban, Nontrivial solutions for potential systems involving the mean curvature operator in Minkowski space, Adv. Nonlinear Stud. 17 (4) (2017), 769-780 (RED zone journal). [link]

16. P. Jebelean, J. Mawhin, C. Şerban, A vector p-Laplacian type approach to multiple periodic solutions for the ϕ-relativistic operator, Commun. Contemp. Math. 19 (3) (2017), 16 pages (RED zone journal).  [link]

17. P. Jebelean, J. Mawhin, C. Șerban, Morse theory and multiple periodic solutions of some quasilinear difference systems with periodic nonlinearities, Georgian Math. J. 24 (1) (2017), 103-112. [link]

18. P. Jebelean, J. Mawhin, C. Şerban, Multiplicity results for some quasilinear differential systems with periodic nonlinearities, Minimax Theory and its Applications 2 (1) (2017), 69-78. [link]

19. G. Bonanno, P. Jebelean, C. Șerban, Superlinear discrete problems, Appl. Math. Lett. 52 (2016), 162-168 (RED zone journal). [link]

20. P. Jebelean, J. Mawhin, C. Șerban, Periodic solutions for discontinuous perturbations of the relativistic operator, Bull. Sci. Math. 140 (2016), 99-117 (YELLOW zone journal). [link]

21. C. Bereanu, P. Jebelean, C. Șerban, The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space, Electron. J. Qual. Theory Differ. Equ. 35 (2015), 1-7 (RED zone journal). [link]

22. P. Jebelean, J. Mawhin, C. Șerban, Multiple periodic solutions for perturbed relativistic pendulum systems, Proc. Amer. Math. Soc. 143 (2015), 3029-3039 (YELLOW zone journal). [link]

23. P. Jebelean, C. Șerban, Boundary value problems for discontinuous perturbations of singular ϕ-Laplacian operator, J. Math. Anal. Appl. 431 (2015), 662-681 (RED zone journal). [link]

24. P. Jebelean, C. Popa, C. Şerban, Numerical extremal solutions for a mixed problem with singular ϕ-Laplacian, NoDEA Nonlinear Differ. Equ. Appl. 21 (2014), 289-304 (RED zone journal). [link]

25. C. Bereanu, P. Jebelean, C. Şerban, Periodic and Neumann problems for discrete p(.)-Laplacian, J. Math. Anal. Appl. 399 (2013), 75-87 (RED zone journal). [link]

26. G. Bonanno, P. Jebelean, C. Şerban, Three solutions for discrete anisotropic periodic and Neumann problems, Dynam. Systems Appl. 22 (2013), 183-196. [link]

27. C. Șerban, Existence of solutions for discrete p-Laplacian with potential boundary conditions, J. Difference Equ. Appl. 19 (3) (2013), 527-537 (YELLOW zone journal). [link]

28. C. Șerban, Multiplicity of solutions for periodic and Neumann problems involving the discrete p(.)-Laplacian, Taiwanese J. Math. 17 (4) (2013), 1425-1439 (YELLOW zone journal). [link]

29. C. Bereanu, P. Jebelean, C. Şerban, Ground state and mountain pass solutions for discrete p(.)-Laplacian, Bound. Value Probl. 104 (2012), 1-13 (RED zone journal). [link]

30. P. Jebelean, C. Şerban, Ground state periodic solutions for difference equations with discrete p-Laplacian, Appl. Math. Comput. 217 (23) (2011), 9820-9827 (RED zone journal). [link]

*RED & YELLOW zone journals are cf. IF or AIS 2023 lists published in 2023 by UEFISCDI

 Articles in journals indexed in international databases

1. C. Bereanu, P. Jebelean, C. Şerban, Nontrivial solutions for a class of one-parameter problems with singular ϕ-Laplacian, Ann. Univ. Buchar. Math. Ser. 3 (LXI) (2012), 155-162. [link]

Articles in proceedings indexed in international databases

1. C Bereanu, P. Jebelean, C. Şerban, Dirichlet problems with mean curvature operator in Minkowski space, New Trends in Differential Equations, Control Theory and Optimization, Proceedings of The 8th Congress of Romanian Mathematicians, Editors: V. Barbu, C. Lefter and I. Vrabie, World Scientific, Singapore, 2016, 20 pages. [link]

2. V. Popuța, C. Șerban, Computational Algorithms in Modular Groupoids, Proceedings of the 12th Symposium of Mathematics and its Applications, ”Politehnica” University of Timişoara, Nov. 5-7, 2009, 267-273, 2010, ISSN 1224-6069. [link]

Co-authors

• Cristian Bereanu, Gabriele Bonanno (Italy), Alberto Cabada (Spain), Antonia Chinni (Italy), Beatrice Di Bella (Italy), Daniela Gurban, Petru Jebelean, Jean Mawhin (Belgium), Constantin Popa and Vasile Popuța.

Awards

• 19 articles awarded by UEFISCDI in the “National Plan for Research, Development and Innovation - Awarding of research results”.

Citations & Scientometric indicators - April 2024

• 196 citations (without self-citations) in journals such as J. London Math. Soc, J. Differential Equations, J. Math. Anal. Appl, J. Difference Equ. Appl., Adv. Nonlinear Stud., Appl. Math. Comput., Appl. Math. Lett., etc. [Citations]

• 150 citations (from the total of 196) are with SRI grater than 0,5 - the SRI (Scor Relativ de Influență = Influence Relative Score).

• AMS MathSciNet: 170 citations in 98 publications by 105 different authors [MathSciNet].

• Web of Science: 157 citations (without self citations) [Web of Science]

• Scopus: 206 citations by 133 documents [Scopus]

• The h-index: 9 [Web of Science], 9 [Scopus], 10 [Google Scholar].

Reviewer & Referee

• Reviewer: Mathematical Reviews (MathSciNet).

• Referee for journals (alphabetical order): Acta Mathematicae Applicatae Sinica, Adv. Differ. Equ., Acta Mathematica Scientia, An. Șt. Univ. Ovidius Constanța, Bound. Value Probl., Carpathian J. Math, Journal of the London Mathematical Society, J. Fixed Points Appl., Electron. J. Qual. Theory Differ. Equ., Mediterranean J. Math., Minimax Theory Appl., Nonlinear Anal. Real World Appl., Opuscula Math. and Taiwanese J. Math.

Research Stages and Projects

• Dec. 2017: “Mathematics of sea ice phenomena” programme - Isaac Newton Institute for Mathematical Sciences, University of Cambridge, United Kingdom;

• Sep. 2012: International Summer School of Mathematics “Analytical and computer assisted methods in mathematical models” – Erasmus Intensive Programme, Karlsruhe Institute für Technology (KIT), Germany;

• 2018 - 2020: Grant PN-III-P1-1.1-PD-2016-0040 “Multiple solutions for systems with singular ϕ-Laplacian operator”, financed by UEFISCDI – project coordinator;

• 2014-2015: Project POSDRU/159/1.5/S/137750 “Project Doctoral and Postdoctoral programs support for increased competitiveness in Exact Sciences research”, co-financed by the European Social Fund – postdoctoral researcher;

• 2011-2014: Grant PN-II-RU-TE-2011-3-0157 “Critical point theory and degree theory for nonlinear problems with relativistic Laplacians”, financed by UEFISCDI – junior researcher;

• 2010-2013: Project POSDRU/CPP107/DMI1.5/S/78421 “Scholarships in Romania through European support for doctoral students (BURSE DOC)”, co-financed by the European Social Fund – doctoral researcher scholarship.

Member in Organizations

• International Society of Difference Equations (ISDE)

Links

• BrainMap | ResearchGate | Google Scholar | ORCID.

Conferences

International conferences abroad

1. C. Șerban, ”Multiplicity for Dirichlet systems with discrete relativistic operator” - New Advances in Nonlinear Differential Equations - NANDE 2024, organized by University of Messina, Messina, Italy, 18-19 April, 2024 [Keynote Speaker].

2. C. Șerban, ”Strictly positive solutions for non-potential and non-radial Dirichlet systems with Minkowski operator” - Equadiff 2019, organized by Leiden University, Leiden, The Netherlands, 8-12 July, 2019.

3. C. Șerban, ”Periodic solutions for systems with p-relativistic operator and unbounded discontinuous nonlinearities” - International Conference on Differential and Difference Equations and Applications 2019 (ICDDEA-2019), organized by University of Lisbon, Lisbon, Portugal, 1-5 July, 2019.

4. C. Șerban, ”Non-radial multiparameter Dirichlet systems with Minkowski operator” - Italian-Romanian Colloquium on Differential Equations and Applications, organized by Università degli Studi di Udine, Udine, Italy, 10-12 April 2019 [Keynote Speaker].

5. C. Șerban, ”Multiple solutions for systems with mean curvature operator in Minkowski space” - International Conference in Nonlinear Analysis and Boundary Value Problems 2018 (NABVP-2018), organized by University of Santiago de Compostela, Santiago de Compostela, Spain, 4-7 September 2018.

6. C. Șerban, ”Multiple solutions for systems with singular operator” - Constructive Methods for Non-linear Boundary Value Problems, The Seventh International Workshop 2018, organized by Institute of Mathematics, University of Miskolc - Hungary and Institute of the Mathematics of the Academy of Sciences of Czech Republic, Miskolc, Hungary, 5-8 July 2018.

7. C. Șerban, ”Some multiplicity results for boundary value problems with singular ϕ-Laplacian” - Veszprém Conference on Differential and Difference Equations and Applications (VCDDEA 2018), organized by Faculty of Information Technology, University of Pannonia in cooperation with the Regional Centre of the Hungarian Academy of Sciences, Veszprém, Hungary, 2-5 July 2018.

8. C. Șerban, ”Boundary value problems for discontinuous perturbations of singular ϕ-Laplacian operator” - Constructive Methods for Non-linear Boundary Value Problems, The Sixth International Workshop 2015, organized by Institute of Mathematics, University of Miskolc - Hungary and Institute of the Mathematics of the Academy of Sciences of Czech Republic, Miskolc, Hungary, 9-12 July 2015.

9. C. Șerban, ”Discontinuous perturbations of singular ϕ-Laplacian operator” - International Conference on Differential & Difference Equations and Applications 2015 – ICDDEA 2015, Portuguese Military Academy (Departamento de Ciências Exactas e Naturais), Amadora (Lisabona), Portugal, 18-22 May 2015.

10. C. Șerban, ”Multiplicity of periodic solutions for discontinuous perturbations of relativistic operator” - 12e Colloque Franco-Roumain en Mathématiques Appliquées, Université Claude Bernard, Lyon, France, 25-30 August 2014.

11. C. Șerban, ”Numerical extremal solutions for a mixed problem with singular ϕ-Laplacian” - 10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Special Session: Variational, Topological and Set-valued Methods for Differential Problems, Universidad Autonoma de Madrid, Madrid, Spain, 7-11 July 2014.

12. C. Șerban, ”Approximation of extremal solutions for a problem with singular ϕ-Laplacian” - International Workshop on Boundary Value Problems: New Trends and Applications (IWBVP 2014), Universidad de Évora, Évora, Portugal, 3-4 July 2014.

13. C. Șerban, ”Ground state and mountain pass solutions for discrete p(.)-Laplacian” - Constructive Methods for Non-linear Boundary Value Problems, The Fifth International Workshop 2012, organized by Institute of Mathematics, University of Miskolc - Hungary and Institute of the Mathematics of the Academy of Sciences of Czech Republic, Tokaj, Hungary, 28 June - 1 July 2012.

14. C. Șerban, ”Periodic and Neumann problems with discrete p(.)-Laplacian” - International Conference “Szeged-Timișoara Workshop on Differential Equations”, University of Szeged, Szeged, Ungaria, 20-22 April 2012.

International Conferences in Romania

1. C. Șerban, ”Multiplicity in some relativistic systems with odd nonlinearities” - The Tenth Congress of Romanian Mathematicians (CRM10), Section: Ordinary and Partial Differential Equations, Controlled Differential Systems, University of Pitești, 30 June - 5 July, 2023.

2. C. Șerban, ”Existence of periodic solutions for unbounded discontinuous perturbations of the p-relativistic operator” - The Ninth Congress of Romanian Mathematicians (CRM9), Section: Ordinary and Partial Differential Equations, Controlled Differential Systems, ”Dunarea de Jos” University of Galați, 28 June - 3 July, 2019.

3. C. Șerban, ”Multiple periodic solutions for differential and difference equations with relativistic operator” - The 15th International Conference on Mathematics and its Applications (ICMA 2018), Session: Mathematical Analysis and Applications, Politehnica University of Timișoara, 1-3 November 2018.

4. C. Șerban, ”Non-radial, non-potential systems with Minkowski operator” - International Workshop ”Geometry and PDEs”, Section: PDEs, West University of Timișoara, 12-13 October 2018.

5. C. Șerban, ”Periodic solutions for differential and difference equations involving Fisher-Kolmogorov perturbations of the relativistic operator” - Workshop for Young Researchers in Mathematics - 8th Edition, Institute of Mathematics of the Romanian Academy, Bucharest, 17-18 May 2018.

6. C. Șerban, ”Fisher-Kolmogorov type perturbations of the relativistic operator: differential vs difference” - 23rd International Conference on Difference Equations and Applications ICDEA 2017”, West University of Timișoara, 24-28 July 2017.

7. C. Șerban, ”Two solutions for Neumann systems of relativistic-type” - International Workshop ”Geometry and PDEs”, Section: PDEs, West University of Timișoara, 13-14 June 2017.

8. C. Șerban, ”Three periodic solutions for differential inclusions systems involving the vector p-Laplacian operator” - International Workshop ”Geometry and PDEs”, Section: PDEs, West University of Timișoara, 10-12 June 2016.

9. C. Șerban, ”Three periodic solutions for discontinuous perturbations of the vector p-Laplacian operator” - The 14th International Conference on Mathematics and its Applications - ICMA 2015, ”Politehnica” University of Timișoara, 5-7 November 2015.

10. C. Șerban, ”A vector p-Laplacian type approach for the ϕ-relativistic operator” - International Conference on Nonlinear Operators, Differential Equations and Applications - ICNODEA 2015, ”Babeș-Bolyai” University of Cluj-Napoca, 14-17 July 2015.

11. C. Șerban, ”Existence results for discontinuous perturbations of singular ϕ-Laplacian operator” - The Eighth Congress of Romanian Mathematicians, Iași ”Al. I. Cuza” University, 26 June - 1 July 2015.

12. C. Șerban, ”Existence results for discontinuous perturbations of singular ϕ-Laplacians” - International Workshop ”Geometry and PDEs”, Section: PDEs, West University of Timișoara, 29-31 May 2015.

13. C. Șerban, ”Numerical extremal radial solutions for Dirichlet problems with mean curvature operator in Minkowski space” - Joint International Meeting of the American Mathematical Society and the Romanian Mathematical Society”, Special Session: Calculus of Variations and Partial Differential Equations, ”1 Decembrie 1918” University, Alba Iulia, 27-30 June 2013.

14. C. Șerban, ”Multiplicity of solutions for periodic and Neumann problems involving the discrete p(.)-Laplacian” - The 13th International Conference on Mathematics and its Applications - ICMA 2012, ”Politehnica” University of Timișoara, 1-3 November 2012.

15. C. Șerban, ”Existence results for discrete p(.)-Laplacian with a general potential type boundary condition” - International Workshop on Functional Analysis, West University of Timișoara, 12-14 October 2012.

Other presentations

1. ”Multiple periodic solutions for perturbed relativistic pendulum systems” presented at Seminarul “Ecuaţii Diferenţiale şi Analiză Neliniară” (SEDAN), West University of Timișoara, 10 March 2014.

2. ”Soluții minimale și maximale pentru probleme mixte cu 𝜙-Laplacieni singulari. Aproximare numerică” presented at ”A treia Sesiune Națională de Comunicări Științifice a Doctoranzilor”, West University of Timișoara, 11 June 2013.

3. ”Soluții netriviale pentru probleme mixte cu operatorul 𝜙-Laplacian singular” presented at Seminarul “Ecuaţii Diferenţiale şi Analiză Neliniară” (SEDAN), West University of Timișoara, 11 March 2013.

4. ”Soluții netriviale pentru probleme mixte cu 𝜙-Laplacieni singulari” presented at Conferința Națională a Doctoranzilor “Cercetări doctorale în România prin sprijin european”, organised in the Project POSDRU/CPP107/DMI1.5/S/78421, West University of Timișoara, 23 February 2013.

5. ”Soluţii multiple pentru 𝑝(∙)-Laplacianul discret” presented at ”A doua Sesiune Națională de Comunicări Științifice a Doctoranzilor”, West University of Timișoara, 15 June 2012.

6. ”Ahmad-Lazer-Paul type results for 𝑝(𝑘)-Laplacian” presented at ”Sesiunea de comunicări științifice pentru doctoranzii din domeniile prioritare abordate în cadrul proiectului POSDRU 21/1.5/G/38347”, West University of Timișoara, 23 March 2012.

7. ”Existență pentru 𝑝-Laplacianul discret cu condiții la limită potențiale” presented at Seminarul “Ecuaţii Diferenţiale şi Analiză Neliniară” (SEDAN), West University of Timișoara, 17 October 2011.

8. ”Periodic solutions for discrete 𝑝-Laplacian - a variational approach” presented at ”Sesiunea de comunicări științifice pentru doctoranzii din domeniile prioritare abordate în cadrul proiectului POSDRU 21/1.5/G/38347”, West University of Timișoara, 24 February 2011.

Another courses achieved (in romanian)

• ”Managementul cercetării avansate și respectarea drepturilor de proprietate intelectuală” (West University of Timișoara);

• ”Training Proiecte FP7, PN II și POSDRU” (West University of Timișoara);

• ”Egalitatea de gen, egalitatea de șanse, nediscriminarea și respectarea diversității, dezvoltarea durabilă și protecția mediului” (West University of Timișoara);

• ”Programul de formare pentru constituirea Corpului de profesori evaluatori pentru examenele și concursurile naționale (CPEECN)” (Romanian Ministery of Education).

Other certifications

• ECDL Core Certificate, Syllabus Version 4.0. – Series RO 053139, ECDL Romania (2010);

• Authorized ECDL Examiner Certificate – Series RO 1930, ECDL Romania (2010);

• Administration of Computer Networks and SEI IT Laboratories Certificate, SIVECO Romania (2013);

• Java Foundations, ORACLE Academy Romania (2018);

• Atestat Corpului de profesori evaluatori pentru examenele și concursurile naționale (CPEECN), Romanian Ministery of Education(2021).

Programming and IT skills

• Programming languages (C/C++, Java, Visual C++ MFC), data bases (Access, MySQL), Web programming (HTML, PHP, CSS, SVG), graphics (InkScape), mathematical software (Maple, Mathematica, Matlab, R, SPSS), Microsoft Office (ECDL certificate), LaTex.

Language skills

• Native language: Romanian | Working knowledge: English (advanced), French (beginner).