63 citations · 568 across the 51 of their papers we have counts for
9 papers · 1 filter
Infinite first order differential systems with nonlocal initial conditions
Gennaro Infante, Petru Jebelean, Fadila Madjidi
We discuss the solvability of an infinite system of first order ordinary differential equations on the half line, subject to nonlocal initial conditions. The main result states tha…
Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
Gennaro Infante, Paolamaria Pietramala
We provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations. Some of the criteria in…
A positive fixed point theorem with applications to systems of Hammerstein integral equations
Alberto Cabada, José Ángel Cid, Gennaro Infante
We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we…
A topological approach to periodic oscillations related to the Liebau phenomenon
José Ángel Cid, Gennaro Infante, Milan Tvrdý +1
We give some sufficient conditions for existence, non-existence and localization of positive solutions for a periodic boundary value problem related to the Liebau phenomenon. Our a…
Multiple positive solutions of parabolic systems with nonlinear, nonlocal initial conditions
Gennaro Infante, Mateusz Maciejewski
In this paper we study the existence, localization and multiplicity of positive solutions for parabolic systems with nonlocal initial conditions. In order to do this, we extend an…
Nontrivial solutions of boundary value problems for second order functional differential equations
Alessandro Calamai, Gennaro Infante
In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work d…
Non-trivial solutions of local and non-local Neumann boundary-value problems
Gennaro Infante, Paolamaria Pietramala, F. Adrian F. Tojo
We prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for perturbed Hammerstein integral equations. Our approach is topologica…
Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs
Gennaro Infante, Paolamaria Pietramala
We study the existence of nonnegative solutions for a system of impulsive differential equations subject to nonlinear, nonlocal boundary conditions. The system presents a coupling…
A topological approach to the existence and multiplicity of positive solutions of -Laplacian systems
Gennaro Infante, Mateusz Maciejewski, Radu Precup
In this paper we develop a new theory for the existence, localization and multiplicity of positive solutions for a class of non-variational,quasilinear, elliptic systems. In order…