TY - JOUR AU - Liping Luo AU - Zhenguo Luo AU - Liu Yang PY - 2014/03/25 Y2 - 2024/03/29 TI - Infinitely Many Fast Homoclinic Solutions for Some Second-Order Nonautonomous Systems JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 66 IS - 3 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2142 AB - 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. ER -