一类弱二次Hamilton系统的同宿解的多重性结果

Abstract

Abstract:

In the present paper we consider the multiplicity of homoclinic solutions for the second order non-autonomous subquadratic Hamiltonian system. In this case, the lower bounded coefficient of the potential function about u near infinity was required to be a positive constant in the literature. However, if the coefficient is a positive function but not a constant, the situation is quite different. In this paper we solved this question. We extent the coefficient to a positive function of t which minimum may be zero. Hence the result in this work is a significant improvement of the results in recent literature.

Key words: Lower bounded coefficient, Subquadratic potential function, Multiplicity, Homoclinic solution

CLC Number:

O211.4

Sun Zhaohong, Zhang Wei, He Tieshan, Gao Chuanxiang. Multiplicity Result for Homoclinic Solutions to A Class of Subquadratic Hamiltonian Systems[J].Acta mathematica scientia,Series A, 2015, 35(2): 364-372.

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References

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Multiplicity Result for Homoclinic Solutions to A Class of Subquadratic Hamiltonian Systems

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