A variational analogue of Krasnoselskii’s cone fixed point theory
AbstractBased on Ekeland’s principle, a variational analogue of Krasnoselskii’s cone compression-expansion fixed point theorem is presented. A general scheme of…
2019
Positive solutions for discontinuous systems via a multivalued vector version of Krasnosel’skii’s fixed point theorem in cones
AbstractWe establish the existence of positive solutions for systems of second–order differential equations with discontinuous nonlinear terms. To this aim,…
A four-point boundary value problem with singular φ-Laplacian
Abstract We prove that the four-point boundary value problem \(-[\U{3d5} (u\prime)]\prime=f(t,u,u\prime),u(0)=\U{3b1} u(\U{3be}),u(T)=\U{3b2} u(\U{3b7} ),)\ where \(f:[0,T]\times R^{2}\rightarrow R)\ is continuous,…
Existence results for some neutral functional integrodifferential equations with bounded delay
Abstract In this paper, we study a class of neutral functional integrodifferential equations with finite delay in Banach spaces. We…
Positive solutions for φ-Laplace equations with discontinuous state-dependent forcing terms
AbstractThis paper concerns the existence, localization and multiplicity of positive solutions for a φ-Laplacian problem with a perturbed term that…
Symmetric positive solutions to a singular φ-Laplace equation
AbstractThe localization of positive symmetric solutions to the Dirichlet problem for second-order ordinary differential equations involving a singular φ-Laplacian is…
Multiplicity results for operator systems via fixed point index
AbstractWe establish existence, localization and multiplicity results of positive solutions for general operator systems in ordered Banach spaces. Our main…
Qualitative properties of solutions for mixed type functional-differential equations with maxima
AbstractIn this paper we study some properties of the solutions of a second order system of functional-differential equations with maxima,…
Inequalities for indices of coincidence and entropies
AbstractWe consider a probability distribution depending on a real parameter x. As functions of x, the Renyi entropy and the…
Shift λ-Invariant Operators
AbstractThe present note is devoted to a generalization of the notion of shift invariant operators that we call it λ-invariant…