Infinitely many homoclinic solutions for a class of subquadratic Hamiltonian systems
Abstract
Consider the second order Hamiltonian system: $$\ddot q - L(t)q+ \nabla V(t,q)=0,\eqno (HS)$$ where $V(t,x)=a(t)W(x)$. New results concerning the existence and the multiplicity of homoclinic solutions to $(HS)$ are obtained in the case where $W$ is of subquadratic growth as $|x| \longrightarrow +\infty$ and the matrix $L(t)$ is positive definite for all $t \in \rb$ without any assumption of periodicity on the potential.Published
2012-08-24
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How to Cite
Infinitely many homoclinic solutions for a class of subquadratic Hamiltonian systems. (2012). Nonlinear Studies, 19(3). https://nonlinearstudies.com/index.php/nonlinear/article/view/651