Existence of homoclinic solutions for nonlinear second-order coupled systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Minhos, Feliz¹  de Sousa, Robert² 

[1] Univ Evora, Inst Invest & Formacao Avancada, Escola Ciencias & Tecnol, Dept Matemat,CIMA, Rua Romao Ramalho 59, P-7000671 Evora, Portugal

[2] Univ Cabo Verde, Fac Ciencias & Tecnol, Nucleo Matemat & Aplicacoes NUMAT, Campus Palmarejo 279, Praia, Cape Verde

关键词: Homoclinic solutions;    Coupled systems;    L-1-Caratheodory functions;    Green's functions;    Schauder's fixed-point theorem;    Lower and upper solutions;   

DOI  :  10.1016/j.jde.2018.07.072

来源: Elsevier

【 摘 要 】

This work presents sufficient conditions for the existence of homoclinic solutions for second order coupled discontinuous systems of differential equations on the real line without the usual growth condition in the literature. The arguments apply the fixed point theory, Green's functions technique, L-1-Caratheodory functions, lower and upper solutions and Schauder's fixed point theorem. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free