J4 ›› 2013, Vol. 51 ›› Issue (03): 373-376.
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CHANG Xiaojun1, LU Jingjing2
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Abstract:
We applied the critical point theory for strongly indefinite functional to study timeperiodic solutions of nonlinear wave equations. A new existence result for the nontrivial timeperiodic solutions of asymptotically linear wave equations is obtained when the nonlinearity is not assumed to satisfy any resonance or nonresonance conditions at infinity.
Key words: wave equations, timeperiodic solutions, critical point theory
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CHANG Xiao-Jun, LU Jing-Jing. Nontrivial TimePeriodic Solutions of a Classof Asymptotically Linear Wave Equations[J].J4, 2013, 51(03): 373-376.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2013/V51/I03/373
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