Solvability of nonlocal boundary value problems for ordinary differential equation of higher order with a p-Laplacian

Authors:
Huihui Pang;Weigao Ge;Min Tian
Affiliations:
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China;Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China;Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

Nonlocal boundary value problems at resonance for a higher order nonlinear differential equation with a p-Laplacian are considered in this paper. By using a new continuation theorem, some existence results are obtained for such boundary value problems. An explicit example is also given in this paper to illustrate the main results.