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20062026
most citedSolutions of perturbed Hammerstein integral equations with applications

63 citations · 568 across the 51 of their papers we have counts for

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Showing 2013Show all

6 papers · 1 filter

math.CA2013★ 6 cited

Existence results for systems with nonlinear coupled nonlocal initial conditions

Octavia Bolojan-Nica, Gennaro Infante, Radu Precup

The purpose of the present work is to study the existence of solutions to initial value problems for nonlinear first order differential systems with nonlinear nonlocal boundary con…

math.CA2013★ 7 cited

Positive solutions of a nonlocal Caputo fractional BVP

Alberto Cabada, Gennaro Infante

We discuss the existence of multiple positive solutions for a nonlocal fractional problem recently considered by Nieto and Pimental. Our approach relies on classical fixed point in…

math.CA2013★ 39 cited

Multiple non-negative solutions of systems with coupled nonlinear BCs

Gennaro Infante, Paolamaria Pietramala

Using the theory of fixed point index, we discuss the existence and multiplicity of non-negative solutions of a wide class of boundary value problems with coupled nonlinear boundar…

math.CA2013★ 6 cited

Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications

Alberto Cabada, Gennaro Infante, F. Adrian F. Tojo

We provide a theory to establish the existence of nonzero solutions of perturbed Hammerstein integral equations with deviated arguments, being our main ingredient the theory of fix…

math.CA2013★ 9 cited

A short course on positive solutions of systems of ODEs via fixed point index

Gennaro Infante

We shall firstly study the existence of one positive solution of a model problem for one equation via the classical Krasnosel'ski\uı fixed-point theorem. Secondly we investigate ho…

math.CA2013

Positive solutions of some nonlocal impulsive boundary value problem

Gennaro Infante, Paolamaria Pietramala

We prove new results on the existence of positive solutions for some impulsive differential equation subject to nonlocal boundary conditions. Our boundary conditions involve an aff…