6533b833fe1ef96bd129bee4

RESEARCH PRODUCT

Multiplicity of solutions for asymptotically linear $n$-th order boundary value problems

Francesca Dalbono

subject

n-th order problem asymptotically linear multiplicity results shooting approach weighted eigenvalues

description

In this paper we investigate existence and multiplicity of solutions, with prescribed nodal properties, to a two-point boundary value problem of asymptotically linear $n$-th order equations. The proof follows a shooting approach and it is based on the weighted eigenvalue theory for linear $n$-th order boundary value problems

http://projecteuclid.org/euclid.tmna/1463150074