# American Institute of Mathematical Sciences

February  2020, 25(2): 691-699. doi: 10.3934/dcdsb.2019261

## Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence

 Dipartimento di Matematica e Informatica, Università della Calabria, 87036 Arcavacata di Rende, Cosenza, Italy

Dedicated to Professor Juan J. Nieto on the occasion of his sixtieth birthday

Received  January 2019 Revised  March 2019 Published  November 2019

We discuss the existence and non-existence of non-negative, non-decreasing solutions of certain perturbed Hammerstein integral equations with derivative dependence. We present some applications to nonlinear, second order boundary value problems subject to fairly general functional boundary conditions. The approach relies on classical fixed point index theory.

Citation: Gennaro Infante. Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence. Discrete & Continuous Dynamical Systems - B, 2020, 25 (2) : 691-699. doi: 10.3934/dcdsb.2019261
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