Irina Kmit

 Useful links for Ukrainian scientists in Germany

         Teaching in SoSe24

      Seminar: Introduction to Nonlinear Dynamics

         Research Seminar

      Applied Analysis

          Research Projects

     Volkswagen Foundation project From Modeling and Analysis to Approximation (2020-2023)

     Volkswagen Foundation project Modeling, Analysis, and Approximation Theory Toward Applications in Tomography and Inverse Problems (2016-2019)

     Alexander von Humboldt Foundation project Time-Periodic Problems for Parameter Dependent Hyperbolic PDEs (2009-2011)

          Workshops and conferences

      Modeling and Analysis to Approximation and Fast Algorithms (Hasenwinkel, 2-6 September 2023)

      Modeling and Analysis to Approximation and Fast Algorithms (Hasenwinkel, 2-4 December 2022)

      Analytical Modeling and Approximation Methods (Berlin, 4-8 March 2020)

      Modeling, Analysis, and Approximation Theory Toward Applications in Tomography and Inverse Problems (Berlin, 20-21 August 2018)

           Publications

• • I. Kmit and V.Tkachenko. On the bounded smooth solutions to exponentially stable linear nonautonomous hyperbolic systems, submitted (2023).

  • I. Kmit and L. Recke. Regularity of Time-Periodic Solutions to Autonomous Semilinear Hyperbolic PDEs,  J. Math. Anal. Appl. 529 (2024).

  • I. Kmit and  L. Recke. Forced Frequency Locking for Semilinear Dissipative Hyperbolic PDEs,  Journal of Dynamics and Differential Equations (2023),
    doi: https://link.springer.com/article/10.1007/s10884-022-10236-0.

  • I. Kmit. 1D Hyperbolic Systems  with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability. In Analysis, Applications, and Computations: Trends in Mathematics, Birkhäuser, Cham, 439–453 (2023).

  • I.Kmit and L.Recke. Hopf Bifurcation for General 1D Semilinear Wave Equations with Delay. Journal of Dynamics and Differential Equations 34: 1393-1431 (2022).

  • I.Kmit, L.Recke, and V.Tkachenko. Bounded and Almost Periodic Solvability of Nonautonomous Quasilinear Hyperbolic Systems.  J. Evolution Equations   21:  4171-4212 (2021).

  • I. Kmit and N. Lyul'ko. Finite Time Stabilization of Nonautonomous First Order Hyperbolic Systems.  SIAM J. Control and Optimization 59(5): 3179-3202 (2021).

  • I.Kmit, L.Recke, and V.Tkachenko. Classical Bounded and Almost Periodic Solutions to Quasilinear First-Order Hyperbolic Systems in a Strip. J. Differential Equations 269(3): 2532-2579 (2020).

  • I. Kmit and N. Lyul'ko. Perturbations of superstable linear hyperbolic systems. J. Math. Anal. Appl. 460(2): 838–862 (2018).

  • R. Klyuchnyk and I. Kmit. Bounded Solutions to Boundary Value Hyperbolic Problems. J. Math. Sci. 228(3): 263–275 (2018).

  • I. Kmit and N. Lyul'ko. Exponential stability of solutions to perturbed superstable wave equations. Journal of Physics: Conference series, Vol. 894, N1 (2017).

  • R. Klyuchnyk, I. Kmit and L. Recke. Exponential Dichotomy for Hyperbolic Systems with Periodic Boundary Conditions. J. Differential Equations 262:2493–2520 (2017).

  • I. Kmit. Smoothing property of solutions to nonlocal hyperbolic problems. Nonclassical problems of theory of differential equations: Collection of papers dedicated to 80th birthday of B. Ptashnyk. Lviv: IPPMM, National Academy of Sciences of Ukraine, 123-132 (2017). http://iapmm.lviv.ua/monograph/Zbirnyk_PT.pdf

  • I. Kmit and R. Klyuchnyk. Fredholm property of nonlocal problems for integro-differential hyperbolic systems. Electron. J. Qual. Theory Differ. Equ. 96:1–11 (2016).

  • I. Kmit and R. Klyuchnyk. Fredholm solvability of time-periodic boundary value hyperbolic problems. J. Math. Anal. Appl. 442(2): 804–819 (2016).

  • I.Kmit and L.Recke. Fredholm alternative and solution regularity for time-periodic hyperbolic systems. Differential and Integral Equations 29(11/12): 1049–1070 (2016).

  • I.Kmit and L.Recke. Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs. J. Differential Equations 259(11): 6287–6337 (2015).

  • I.Kmit and L.Recke. Time-periodic  second-order hyperbolic equations: Fredholm solvability, regularity, and smooth dependence. Operator Theory: Advances and Applications 245:147--181, Basel: Birkhäuser (2015).

  • I.Kmit and L.Recke. Hopf bifurcation for semilinear dissipative hyperbolic systems. J. Differential Equations 257(1):264-309 (2014).

  • I.Kmit. Smoothing effect and Fredholm property for first-order hyperbolic PDEs. Operator Theory: Advances and Applications 231:219-238, Basel: Birkhäuser (2013).

  • I.Kmit. Fredholm Solvability of a Periodic Neumann Problem for a Linear Telegraph Equation. Ukrainian Math. J. 65(3):423-434 (2013).

  • I.Kmit, L.Recke, and V.Tkachenko. Robustness of the exponential dichotomies of boundary-value problems for the general first-order hyperbolic system. Ukrainian Math. J. 65(2):260-276 (2013). 

  • I.Kmit and L.Recke. Fredholmness and smooth dependence for linear time-periodic hyperbolic systems. J. Differential Equations, 252(2):1962-1986 (2012).

  • I.Kmit. On the Fredholm solvability for a class of multidimensional hyperbolic problems. J. Math. Sci. 185(6):778-791 (2012).

  • I.Kmit. Smoothing solutions to initial-boundary problems for first-order hyperbolic systems. Applicable Analysis 90(11-12):1609-1634 (2011).

  • I.Kmit. C1-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions. Commentat. Math. Univ. Carol. 52(4):507-517 (2011).

  • I.Kmit. Associated distributions for a semilinear hyperbolic problem with singular coefficients. Integral Transforms Spec. Funct. 20(3-4):177-183 (2009).

  • I.Kmit and B.Y.Ptashnyk. Well-posedness of boundary value problems for multi-dimensional hyperbolic systems. Ukr. Math. J. 60(2):221-234 (2008).

  • I.Kmit, M.Kunzinger, and R.Steinbauer. Generalized solutions of the Vlasov-Poisson system with singular data. J. Math. Anal. Appl. 340(1):575-587 (2008).

  • I.Kmit. Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems. Int. J. Dyn. Syst. Differ. Equ. 1(3):191-195 (2008).

  • I.Kmit and L.Recke. Fredholm alternative for periodic-Dirichlet problems for linear hyperbolic systems. J. Math. Anal. Appl. 335(1): 355-370 (2007).

  • I.Kmit. Linear hyperbolic problems in the whole scale of Sobolev-type spaces of periodic functions. Commentat. Math. Univ. Carol. 48(4):631-645 (2007).

  • I.Kmit. A distributional solution to a hyperbolic problem arising in population dynamics. Electron. J. Differ. Equ. Paper No. 132: 23 p. (2007).

  • I.Kmit. Generalized solutions to hyperbolic systems with nonlinear conditions and strongly singular data. Integral Transforms Spec. Funct. 17(2-3):177-183 (2006).

  • I.Kmit. Generalized solutions to singular initial-boundary hyperbolic problems with non-Lipshitz nonlinearities. Bull., Cl. Sci. Math. Nat., Sci. Math. 133(31):87-99 (2006).

  • I.Kmit. Initial-boundary problems for semilinear hyperbolic systems with singular coefficients. Nonlinear Bound. Value Probl. 15:74-84 (2005).

  • I.Kmit. Delta waves for a strongly singular initial-boundary hyperbolic problem with integral boundary condition. Z. Anal. Anwend. 24(1):29-74 (2005).

  • T.O.Banakh, I.Ya.Kmit, and O.V.Verbitsky. On asymmetric colorings of integer grids. Ars Comb. 62:257-271 (2002).

  • R.Hryniv and I.Kmit. On a nonclassical problem for some quasilinear hyperbolic equation. Nonlinear Analysis 51(8):1405-1419 (2002).

  • I.Kmit and G.Hörmann. Semilinear hyperbolic systems with singular non-local boundary conditions: Reflection of singularities and delta waves. Z. Anal. Anwend. 20(3):637-659 (2001).

  • I.Kmit and R.Hryniv. On a nonclassical problem for some nonlinear hyperbolic equation. Nonlinear Bound. Value Probl. 11:86-93 (2001).

Book

• • • B.Ptashnyk, V.Ilkiv, I.Kmit, and V.Polishchuk. Nonlocal Boundary Value Problems for Partial Differential Equations.  Naukova Dumka, Kyiv (2002), 415 pages (in Ukrainian).