A unified existence theory for evolution equations and systems under nonlocal conditions
AbstractWe investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of…
not-at-ICTP
Variational properties of the solutions for second-order differential equations and systems on semi-line
AbstractIn this article, an abstract theory regarding variational properties of the fixed points of contractions and Perov contractions is applied…
Some fixed point theorems in terms of two measures of noncompactness
AbstractIn this paper several fixed point theorems of Sadovskii type are obtained for operators on spaces endowed with two norms…
Implicit first order differential systems with nonlocal conditions
AbstractThe present paper is devoted to the existence of solutions for implicit first order differential systems with nonlocal conditions expressed…
On the continuation method and the nonlinear alternative for Caristi-type non-self-mappings
AbstractIn this note we survey some continuation fixed point theorems for Caristi-type non-self-mappings on complete metric spaces. Two new results,…
Multiple periodic solutions with prescribed minimal period to second-order Hamiltonian systems
AbstractA new variational method based on Ekeland’s principle is introduced for the existence, localization and multiplicity of periodic solutions of…
Perov type results in gauge spaces and applications to integral systems on semi-axis
AbstractIn this paper we present Perov type fixed point theorems for con-tractive mappings in Gheorghiu’s sense on spaces endowed with…
Nash-type equilibria and periodic solutions to nonvariational systems
AbstractThe paper deals with variational properties of fixed points for contraction-type operators. Undersuitable conditions, the unique xed point of a…
Existence results for systems with coupled nonlocal conditions
AbstractIn this paper an existence theory is developed for first-order differential systems with coupled nonlocal conditions given by Stieltjes integrals.…
On a bounded critical point theorem of Schechter
AbstractA new proof based on Bishop-Phelps’ variational principle is given to a critical point theorem of Schechter for extrema in…