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Infinitely many homoclinic solutions for second order Hamiltonian systems
Authors:Qingye Zhang
Affiliation:a School of Mathematical Science, Nankai University, Tianjin 300071, People’s Republic of China
b School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, People’s Republic of China
Abstract:In this paper we study the existence of infinitely many homoclinic solutions for second order Hamiltonian systems View the MathML source, View the MathML source, where L(t) is unnecessarily positive definite for all tR, and W(t,u) is of subquadratic growth as |u|→.
Keywords:37J45   58E05   34C37   70H05
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