Multiplicity of Periodic Solution of a Class of Non-Automous Second Order System at Resonance

doi:10.3969/j.cnki.jdxb.2015.05.004

journal6 ›› 2015, Vol. 36 ›› Issue (5): 16-20.DOI: 10.3969/j.cnki.jdxb.2015.05.004

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Multiplicity of Periodic Solution of a Class of Non-Automous Second Order System at Resonance

ZHANG Huan-Huan

(College of Mathematics and Computer Science，Northwest University for Nationalities，Lanzhou 730030，China)

Online:2015-09-25 Published:2015-11-02

Abstract

Abstract: The existence of periodic solutions for non-automous second order systems at resonance is investigated.With the sub-linear increase of the non-linear term,the periodic solutions of the system are converted into the critical points of a functional defined on a proper space，and the existence of periodic solutions is proved through the critical point theory.

Key words: non-autonomous second order systems, critical point theory；periodic solutions, resonance, critical point

ZHANG Huan-Huan. Multiplicity of Periodic Solution of a Class of Non-Automous Second Order System at Resonance[J]. journal6, 2015, 36(5): 16-20.

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Multiplicity of Periodic Solution of a Class of Non-Automous Second Order System at Resonance

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