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Infinitely Many Homoclinic Solutions for a Class of Superquadratic Fourth-order Differential Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Timoumi, Mohsen |
| Copyright Year | 2018 |
| Abstract | Using a variant fountain theorem, we prove the existence of infinitely many homoclinic solutions of a class of fourth-order differential equations u(4)(x)+ωu′′(x)+a(x)u(x) = f (x,u(x)), ∀x ∈ R, where a ∈C(R,R) may be negative on a bounded interval and F(x,u) = ∫ u 0 f (x, t)dt is superquadratic at infinity in the second variable but does not need to satisfy the known Ambrosetti-Rabinowitz superquadratic growth condition. |
| File Format | PDF HTM / HTML |
| DOI | 10.23952/jnfa.2018.20 |
| Alternate Webpage(s) | http://jnfa.mathres.org/issues/JNFA201820.pdf |
| Alternate Webpage(s) | https://doi.org/10.23952/jnfa.2018.20 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
