Multiple Homoclinics for Nonperiodic Damped Systems with Superlinear Terms
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DOI: 10.1007/s40840-016-0396-1
Abstract: We study the following second-order differential system 0.1$$\begin{aligned} -\ddot{u}(t)-M\dot{u}(t)+L(t)u(t)=H_u(t,u(t)),\quad t\in \mathbb {R}, \end{aligned}$$-u¨(t)-Mu˙(t)+L(t)u(t)=Hu(t,u(t)),t∈R,which can be regarded as a second-order Hamiltonian system with a damped term. Here, the nonlinearity H(t, u) is superquadratic as $$|u|\rightarrow \infty $$|u|→∞.… read more here.
Keywords: damped systems; systems superlinear; superlinear terms; homoclinics nonperiodic ... See more keywords