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| THE EXISTENCE OF HOMOCLINIC ORBITS FOR HAMILTONIAN SYSTEMS WITH THE POTENTIALS CHANGING SIGN |
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Citation： |
Fei Guihua.THE EXISTENCE OF HOMOCLINIC ORBITS FOR HAMILTONIAN SYSTEMS WITH THE POTENTIALS CHANGING SIGN[J].Chinese Annals of Mathematics B,1996,17(4):403~410 |
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Net amount： 943 |
Authors： |
Fei Guihua; |
Foundation： |
the National Natural Science Foundation of China |
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| Abstract： |
This paper studies the existence of nontrival homoclinic orbits of the Hamiltonian systems $$ \ddot q-L(t)q+V'(t,q)=0 $$ by using the critical point theory, where the potential $V(t,q)=b(t)W(q)$ can change sign. Under a new kind of "superquadratic" condition on $W$, some new results are obtained. |
Keywords： |
Homoclinic orbit, Critical point theory, Hamiltonian system |
Classification： |
5bF05, 34C25 |
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