Homoclinic solutions for nonlinear general fourth‐order differential equations
Copyright policy )Homoclinic solutions for nonlinear general fourth‐order differential equations
This work provides sufficient conditions for the existence of homoclinic solutions of fourth‐order nonlinear ordinary differential equations. Using Green's functions, we formulate a new modified integral equation that is equivalent to the original nonlinear equation. In an adequate function space, the corresponding nonlinear integral operator is compact, and it is proved an existence result by Schauder's fixed point theorem. Copyright © 2017 John Wiley & Sons, Ltd.
- University of Évora Portugal
higher-order problems in the real line, Boundary value problems on infinite intervals for ordinary differential equations, homoclinic solutions, Green's functions for ordinary differential equations, fixed point theory, Green's functions, Homoclinic and heteroclinic solutions to ordinary differential equations, Rods (beams, columns, shafts, arches, rings, etc.), beams on nonuniform elastic foundations
higher-order problems in the real line, Boundary value problems on infinite intervals for ordinary differential equations, homoclinic solutions, Green's functions for ordinary differential equations, fixed point theory, Green's functions, Homoclinic and heteroclinic solutions to ordinary differential equations, Rods (beams, columns, shafts, arches, rings, etc.), beams on nonuniform elastic foundations
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