Existence of Homoclinic Solutions for Nonlinear Second-Order Problems
Data(s) |
19/01/2017
19/01/2017
01/12/2016
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Resumo |
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 periodicity assumptions or asymptotic conditions. Some applications to Duffing-like equations are presented in last section. |
Identificador |
Minhós, F. & Carrasco, H. "Existence of Homoclinic Solutions for Nonlinear Second-Order Problems".- Mediterranien Journal of Mathematics, December 2016, Vol 13, issue 6, pp 3849-3861 1660-5446 (print version) 1660-5454 (electronic version) http://hdl.handle.net/10174/19874 MAT fminhos@uevora.pt hugcarrasco@gmail.com 334 10.1007/s00009-016-0718-4 |
Idioma(s) |
eng |
Publicador |
Springer |
Direitos |
restrictedAccess |
Palavras-Chave | #Homoclinic solutions #problems in the real line |
Tipo |
article |