Existence of infinitely many homoclinic orbits for second-order systems involving Hamiltonian-type equations
We study the second-order differential system $$ ddot u + Adot{u}- L(t)u+ abla V(t,u)=0, $$ where A is an antisymmetric constant matrix and $L in C(mathbb{R}, mathbb{R}^{N^2})$. We establish the existence of infinitely many homoclinic solutions if W is of subquadratic growth as $|x| o +infty$...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/11/abstr.html |