Adel Daouas, Ammar Moulahi
We study the second-order differential system
where A is an antisymmetric constant matrix and . We establish the existence of infinitely many homoclinic solutions if W is of subquadratic growth as and L does not satisfy the global positive definiteness assumption. In the particular case where A=0, earlier results in the literature are generalized.
Submitted March 25, 2012. Published January 14, 2013.
Math Subject Classifications: 34C37, 37J45, 70H05.
Key Words: Homoclinic solutions; differential system; critical point.
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| Adel Daouas |
Mathematics department, College of sciences
Taibah University, Saudi Arabia
| Ammar Moulahi |
College of Business and Economics
Qassim University, Saudi Arabia
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