Existence of Homoclinic Solutions for Nonlinear Second-Order Problems

In this work, we consider the second-order discontinuous equation in the real line, u′′(t)−ku(t)=f(t,u(t),u′(t)),a.e.t∈R, with k>0 and f:R3→R an L1 -Carathéodory function. The existence of homoclinic solutions in presence of not necessarily ordered lower and upper solutions is proved, without per...

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Bibliographic Details
Main Author: Minhós, Feliz (author)
Other Authors: Carrasco, Hugo (author)
Format: article
Language:eng
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10174/19874
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/19874