Existence of solutions to a nonlocal boundary value problem with nonlinear growth.
Applying two three critical points theorems, we prove the existence of at least three anti-periodic solutions for a second-order impulsive differential inclusion with a perturbed nonlinearity and two parameters.
In this paper we examine a quasilinear periodic problem driven by the one- dimensional -Laplacian and with discontinuous forcing term . By filling in the gaps at the discontinuity points of we pass to a multivalued periodic problem. For this second order nonlinear periodic differential inclusion, using variational arguments, techniques from the theory of nonlinear operators of monotone type and the method of upper and lower solutions, we prove the existence of at least two non trivial solutions,...
Existence principles for solutions of singular differential systems satisfying nonlocal boundary conditions are stated. Here is a homeomorphism onto and the Carathéodory function may have singularities in its space variables. Applications of the existence principles are given.