Multiple Homoclinic Solutions for a Class of Superquadratic Fourth-order Differential Equations
Applying a Symmetric Mountain Pass Theorem, we prove the existence of infinitely many homoclinic solutions for a class of fourth-order differential equations u(4)(x) + ωu00(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) =Ru 0 f(x,t)dt is superquadrat...
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| Format: | Article |
| Language: | English |
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Refaad
2017-12-01
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| Series: | General Letters in Mathematics |
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| Online Access: | http://www.refaad.com/Files/GLM/GLM-3-3-2.pdf |