Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations
In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fourth-order differential equations. The notions of classical and weak solutions are introduced. Then the existence of at least one and infinitely many nonzero solutions is proved, usin...
| Authors: | , |
|---|---|
| Format: | article |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Universidad de Santiago de Compostela (USC) |
| Repository: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Language: | English |
| OAI Identifier: | oai:minerva.usc.gal:10347/45939 |
| Online Access: | https://hdl.handle.net/10347/45939 |
| Access Level: | Open access |
| Keyword: | Fourth-order differential equations Impulsive conditions Weak solution Classical solution Palais-Smale condition Mountain-pass theorem Clarke’s theorem 1202 Análisis y análisis funcional |
| Summary: | In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fourth-order differential equations. The notions of classical and weak solutions are introduced. Then the existence of at least one and infinitely many nonzero solutions is proved, using the minimization, the mountain-pass, and Clarke’s theorems |
|---|