Infinitely Many Fast Homoclinic Solutions for Some Second-Order Nonautonomous Systems
We investigate the existence of infinitely many fast homoclinic solutions for a class of second-order nonautonomous systems. Our main tools are based on the variant fountain theorem. A criterion guaranteeing that the second-order system has infinitely many fast homoclinic solutions is obtained. Recent results from the literature are generalized and significantly improved.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 3, pp 454-466.
Citation Example: Luo Liping, Luo Zhenguo, Yang Liu Infinitely Many Fast Homoclinic Solutions for Some Second-Order Nonautonomous Systems // Ukr. Mat. Zh. - 2014. - 66, № 3. - pp. 404–414.