Infinitely many solutions for second-order Hamiltonian system with impulsive effects
نویسندگان
چکیده
منابع مشابه
Infinitely Many Periodic Solutions to a Class of Perturbed Second–order Impulsive Hamiltonian Systems
We investigate the existence of infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems. Our approach is based on variational methods and critical point theory. Mathematics subject classification (2010): 34B15, 47J10.
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By using minimax methods and critical point theory, we obtain infinitely many periodic solutions for a second-order nonautonomous Hamiltonian systems, when the gradient of potential energy does not exceed linear growth.
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where M is a positive constant, J = [, ], tk ∈ R, k = , . . . ,m, m ∈ N, satisfy = t < t < t < · · · < tm < tm+ = , – x|t=tk denotes the jump of x′(t) at t = tk , that is, – x|t=tk = x′((tk)+) – x′((tk)–), here x′((tk)+) and x′((tk)–), respectively, represent the right-hand limit and left-hand limit of x′(t) at t = tk . In addition, ω, f and Ik satisfy the following conditions: (H) ω...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2011
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.02.044