Infinitely Many Fast Homoclinic Solutions for Some Second-Order Nonautonomous Systems
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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.
KeywordsHamiltonian System Homoclinic Orbit Weighted Sobolev Space Homoclinic Solution Positive Continuous Function
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