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The Lazer-Solimini equation with state-dependent delay Alexander Gutirreza,1,
 

Summary: The Lazer-Solimini equation with state-dependent delay
Alexander Gutiérreza,1,
, Pedro J. Torresb,2
=Departamento de Matemáticas, Universidad Tecnológica de Pereira, Risaralda, Colombia.
>Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain.
Abstract
Sucient criteria are established for the existence of T-periodic solutions of a
family of Lazer-Solimini equations with state-dependent delay. The method of
proof relies on a combination of Leray-Schauder degree and a priori bounds.
Keywords: Lazer-Solimini equation, state-dependent delay, Leray-Schauder
degree, Periodic solution.
2008 MSC: 34K13, 34C25
1. Introduction
Singular nonlinearities arise naturally in physical models when considering grav-
itational or electromagnetic forces. In 1987, Lazer and Solimini [4] proposed the
equations
x ±
1
x
= p(t) (1)

  

Source: Arias, Cristina M. - Departamento de Matemática Aplicada, Universidad de Granada

 

Collections: Mathematics