Existence of homoclinic solutions for nonlinear second-order coupled systems

DOI10.1016/j.jde.2018.07.072zbMath1409.34042OpenAlexW2885770980WikidataQ129433355 ScholiaQ129433355MaRDI QIDQ1627709

Robert de Sousa, Feliz Manuel Minhós

Publication date: 3 December 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.072

zbMATH Keywords

lower and upper solutionsGreen's functionshomoclinic solutionscoupled systemsSchauder's fixed-point theorem\(L^1\)-Carathéodory functions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (2)

Heteroclinic and homoclinic solutions for nonlinear second-order coupled systems with \(\phi\)-Laplacians ⋮ Heteroclinic solutions for classical and singular \(\phi\)-Laplacian non-autonomous differential equations

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