Article ID Journal Published Year Pages File Type
4620938 Journal of Mathematical Analysis and Applications 2008 21 Pages PDF
Abstract

We consider a fourth-order quasilinear nonhomogeneous equation which is equivalent to a nonhomogeneous Hamiltonian system. The purpose of this work is to prove the existence of at least two solutions for such equation when a certain parameter is small enough. Furthermore, under an additional hypothesis on positiveness of the nonhomogeneous part we prove that our solutions are positive.

Related Topics
Physical Sciences and Engineering Mathematics Analysis