We investigate a class of nonperiodic fourth order differential equations with general potentials. By using variational methods and genus properties in critical point theory, we obtain that such equations possess infinitely homoclinic solutions.
"Infinitely Many Homoclinic Solutions for Nonperiodic Fourth Order Differential Equations with General Potentials." Abstr. Appl. Anal. 2014 (SI17) 1 - 7, 2014. https://doi.org/10.1155/2014/435125