Recent publications

Luis Sanchez, João G. Silva; Remarks on periodic resonant problems with nonlinear dissipation, Electronic Journal of Differential Equations, Special Issue 01 (2021), pp. 203-212.

Luís Ferreira, Luís Sanchez, On a class of difference equations involving a linear map with two dimensional kernel. Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 8, 14 pp.

José Ángel Cid, Luís Sanchez. Nonnegative oscillations for a class of differential equations without uniqueness: A variational approach. Discrete & Continuous Dynamical Systems - B, 2020, 25 (2) : 545-554. doi: 10.3934/dcdsb.2019253

D. Caetano and L. Sanchez, Remarks on a semilinear system in Rⁿ motivated by difference equations, Mathematica Slovaca 68(5) (2018), pp. 1075-1082.

P. Candito, R. Livrea, L. Sanchez and M. Zamora, Positive solutions of Dirichlet and homoclinic type for a class of singular equations, Journal of Mathematical Analysis and Applications. 461 (2018), p. 1561-1584.

Denis Bonheure, José Ángel Cid, Colette De Coster and Luís Sanchez, Heteroclinics for some non autonomous third order differential equations, Topological Methods in Nonlinear Analysis. vol 43 no 1, 2014, 53–68.

Isabel Coelho and Luís Sanchez Travelling wave profiles in some models with nonlinear diffusion,

Applied Mathematics and Computation, Vol 235, 2014, 469–481.

Ricardo Enguiça, Andrea Gavioli and Luís Sanchez, A class of singular first order differential equations with applications in reaction-diffusion, Discrete and Continuous Dynamical Systems - Series A, 33 (2013), 173 – 191. http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=7607

Simão Correia e Luís Sanchez, Ondas progressivas no modelo de Fisher-Kolmogorov - um clássico moderno, Bol. Soc. Port. Mat. No. 67 (2012), 165–184.

Alberto Cabada, J. Ángel Cid, and Luís Sanchez, Existence of Solutions for Elliptic Systems with Nonlocal Terms in One Dimension, Boundary Value Problems, Volume 2011 (2011), Article ID 518431, 12 pages.

R. Enguiça, A. Gavioli and L. Sanchez, Solutions of second-order and fourth-order ODEs on the half-line, Nonlinear Analysis: Theory, Methods & Applications 73 ( 9), 2010, 2968-2979.

A. Gavioli and L. Sanchez, Heteroclinics for non-autonomous second order differential equations, Differential and Integral Equations 22, 999-1018 (2009).

R. Enguiça and L. Sanchez, A second order non-autonomous problem on the half-line: a variational approach, in Mathematical models in Engineering, Biology and Medicine, AIP Conference Proceedings, Melville 2009, A. Cabada, E. Liz and J. J. Nieto (eds.), 119-128.

A. Gavioli and L. Sanchez, On a class of bounded trajectories for some non-autonomous Systems, Mathematische Nachrichten 281 (2008), 1521 - 1671

R. Enguiça and L. Sanchez, A nonlocal maximum principle and applications, Communications in Applied Nonlinear Analysis, Volume 15 (2008), Number 1, 1–17.

A. Gavioli and L. Sanchez, On Bounded Trajectories for Some Non-Autonomous Systems, in Differential Equations, Chaos and Variational Problems, Series: Progress in Nonlinear Differential Equations and Their Applications , Vol. 75, Staicu, Vasile (Ed.) 211-222.

P. Habets and L. Sanchez, A monotone method for fourth order boundary value problems involving a factorizable linear operator, Portugaliae Mathematica 64 (2007), 255-279.

Ricardo Enguica, Luis Sanchez; Existence and localization of solutions for fourth-order boundary-value problems, Electr. J. Diff. Equations Vol. 2007(2007), No. 127 pp. 1-10.

J. Angel Cid, A. Cabada and L. Sanchez, Positivity and lower and upper

solutions for fourth order boundary value problems, Nonlinear Analysis Series A: Theory, Methods & Applications 67 (2007) 1599–1612.

D. Bonheure and L. Sanchez, Heteroclinic orbits for some classes of second and fourth order differential equations, Handbook of Differential Equations: Ordinary Differential Equations, vol. 3, A. Cañada, P. Drabek, a. Fonda, editors, Elsevier (2006).

R. Enguiça and L. Sanchez, Radial solutions for a non-local boundary value problem, Boundary Value Problems, 2006, Art. ID 32950, 18 pp.

D. Bonheure, J. M. Gomes and L. Sanchez, Positive solutions of a second order singular ordinary differential equation, Nonlinear Analysis T.M.A 61 (2005), 1383-1399.

J. M. Gomes and L. Sanchez, On a variational approach to some non-local boundary value problems, Applicable Analysis 84 (2005), 909-925.

D. Bonheure, P. Habets and L. Sanchez, Heteroclinics for fourth order symmetric bistable equations, Atti del Seminario Matematico e Fisico dell’Università di Modena e Reggio Emilia, LII, (2004) 213-227.

M. R. Grossinho, L. Sanchez and S. A. Tersian, On the solvability of a boundary value problem for a 4th order ordinary differential equation, Applied Mathematics Letters 18 (4) 2005, 439-444.

J. M. Gomes and L. Sanchez, A variational approach to some boundary value problems in the half-line, Z.angew.Math.Phys. 56 (2005) 192-209.

M. Arias, J. Campos, A. Robles Pérez and L. Sanchez, Fast and heteroclinic solutions for a second order ODE related to the Fisher-Kolmogorov’s equation, Calculus of Variations and Partial Differential Equations, 21 (2004), 319-334.

A. Cabada and L. Sanchez, Second Order Singular Periodic Problems in Presence of Dry Friction, Proc. Amer. Math. Society 131, 2137-2144 (2003).

D. Bonheure, L. Sanchez, M. Tarallo and S. Terracini, Heteroclinic connections between nonconsecutive equilibria of a fourth order differential equations, Calculus of Variations and Partial Differential Equations 17, 341-356 (2003).

J. Chaparova and L. Sanchez, A variational approach for a generalized Emden-Fowler equation, Applicable Analysis 82, 1003-1016 (2003).

J. Ángel Cid and L. Sanchez, Periodic solutions for second order differential equations with discontinuous restoring forces, J. Math. Anal. Appl. 288 (2003), 349-364.