EXISTENCE OF SOLUTIONS FOR FRACTIONAL HAMILTONIAN SYSTEMS

被引：0

作者：

Torres, Cesar ^{[1
,2
]}

机构：

[1] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[2] Univ Chile, Ctr Modelamiento Matemat, CNRS, UMR2071, Santiago, Chile

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年

关键词：

Liouville-Weyl fractional derivative; fractional Hamiltonian systems; critical point; variational methods; DISPERSION; EQUATION; MOTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we prove the existence of solutions for the fractional differential equation D-t(infinity)alpha((-infinity)D(t)(alpha)u(t)) + L(t)u(t) = del W(t, u(t)), u is an element of H-alpha(R, R-N). where alpha is an element of (1/2, 1). Assuming L is coercive at infinity we show that this equation has at least one nontrivial solution.

引用

页数：12

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