Electron. J. Diff. Eqns. Vol. 1994(1994), No. 01, pp. 1-10.

Homoclinic Orbits for a Class of Symmetric Hamiltonian Systems

Philip Korman & Alan C. Lazer

Abstract:
We study existence of homoclinic orbits for a class of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits. We use variational approach.

Submitted October 22, 1993. Published February 15, 1994.
Math Subject Classification: 34B15, 34A34.
Key Words: Homoclinic orbits, mountain-pass lemma.

Show me the PDF file (150 KB), TEX file, and other files for this article.

Philip Korman
Institute for Dynamics and Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA
e-mail: korman@ucbeh.san.uc.edu

Alan C. Lazer
Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL 33124, USA
e-mail: lazer@mthvax.cs.miami.edu

Return to the EJDE home page.