Multiple Homoclinic Solutions for a Class of Superquadratic Fourth-order Differential Equations

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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Bibliographic Details
Main Author: Mohsen Timoumi
Format: Article
Language:English
Published: Refaad 2017-12-01
Series:General Letters in Mathematics
Subjects:
Fourth-order differential equation
homoclinic solutions
variational methods
Symmetric Mountain Pass Theorem
Online Access:http://www.refaad.com/Files/GLM/GLM-3-3-2.pdf

Internet

http://www.refaad.com/Files/GLM/GLM-3-3-2.pdf

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