A topological approach to the existence and multiplicity of positive solutions of (p,q)-Laplacian systems4 years agoAbstractIn this paper we develop a new theory for the existence, localization and multiplicity of positive solutions for a class…
Existence results for systems with nonlinear coupled nonlocal initial conditions4 years agoAbstractThe purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first…
A unified existence theory for evolution equations and systems under nonlocal conditions4 years agoAbstractWe investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of…
Variational properties of the solutions for second-order differential equations and systems on semi-line4 years agoAbstractIn 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 noncompactness4 years agoAbstractIn 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 conditions4 years agoAbstractThe 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-mappings4 years agoAbstractIn 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 systems4 years agoAbstractA 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-axis4 years agoAbstractIn 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 systems4 years agoAbstractThe paper deals with variational properties of fixed points for contraction-type operators. Undersuitable conditions, the unique xed point of a…