Electron. J. Diff. Eqns., Vol. 2008(2008), No. 118, pp. 1-14.

Ambrosetti-Prodi type results in a system of second and fourth-order ordinary differential equations

Yukun An, Jing Feng

Abstract:
In this paper, by the variational method, we study the existence, nonexistence, and multiplicity of solutions of an Ambrosetti-Prodi type problem for a system of second and fourth order ordinary differential equations.

Submitted March 17, 2008. Published August 25, 2008.
Math Subject Classifications: 34B08, 34B15, 34L30, 47J30.
Key Words: Differential system; Ambrosetti-Prodi type problem; subsolution; supersolution; variational method.

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Yukun An
Department of Mathematics
Nanjing University of Aeronautics and Astronautics
Nanjing, 210016, China
email: anyksd@hotmail.com
Jing Feng
Department of Mathematics
Nanjing University of Aeronautics and Astronautics
Nanjing, 210016, China
email: erma19831@sina.com

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