Existence and localization results for the nonlinear wave equation
Abstract Existence and localization results for the nonlinear wave equation are established by Krasnoselskii’s compression-expansion fixed point theorem in cones.…
not-at-ICTP
Anti-periodic solutions for second order differential inclusions
Abstract In this paper, we extend the existence results presented in [9] for \(L^p\) spaces to operator inclusions of Hammerstein…
Fixed point theory and generalized Leray-Schauder alternatives for approximable maps in topological vector spaces
AbstractSome new fixed point theorems for approximable maps are obtained in this paper. Homotopy results, via essential maps, are also…
On nonlocal initial value problem for first order differential equations
AbstractThe paper is devoted to the existence of solutions of initial value problems for nonlinear first order differential equations with…
The perturbed Klein-Gordon equation
Abstract We establish a general existence reasults for the Klein-Gordon equation with multivalued perturbations. The approach is based on a…
Continuation theory for contractions on spaces with two vector-valued metrics
Abstract We develop a continuation theory for contractive maps on spaces with two vector-valued metrics. Applications are presented for systems…
A nonlinear periodic averanging principle
Abstract This paper is devoted to a nonlinear averaging principle for periodic solutions of a class of second order inclusions.…
Location of nonnegative solutions for differential equations on finite and semi-infinite intervals
Abstract A variety of new existence criteria are presented for boundary value problems for second order differential equations. Our results…
Fixed point theorems for decomposable multi-valued maps and applications
Abstract We present fixed point theorems for weakly sequentially upper semicontinuous decomposable non-convex-valued maps.They are based on an extension of…
Some existence results for differential equations with both retarded and advanced arguments
Abstract Existence, uniqueness an monotone approximation of solutions to the Cauchy problem for differential equations with both advanced and retarded…