Hyperbolic-like solutions for singular Hamiltonian systems |
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| Authors: | Patricio Felmer and Kazunaga Tanaka |
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| Affiliation: | (1) Departamento de Ingeniería Matemática F.C.F.M., Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile, CH;(2) Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169, Japan, e-mail: kazunaga@mn.waseda.ac.jp, JP |
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| Abstract: | We study the existence of unbounded solutions of singular Hamiltonian systems: where is a potential with a singularity. For a class of singular potentials with a strong force , we show the existence of at least one hyperbolic-like solutions. More precisely, for given and , we find a solution q(t) of (*) satisfying Received October 1998 |
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