Periodic solutions of damped differential systems with repulsive singular forces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Periodic solutions of damped differential systems with repulsive singular forces

Authors:	Meirong Zhang

Affiliation:	Department of Applied Mathematics, Tsinghua University, Beijing 100084, People's Republic of China

Abstract:	We consider the periodic boundary value problem for the singular differential system: where $Fin C^{2}(mathbb R ^{N}, mathbb R )$ , $Gin C^{1}(mathbb R ^{N} backslash {0}, mathbb R )$ , and $hin L^{1}([0,T], mathbb R ^{N})$ . The singular potential is of repulsive type in the sense that as . Under Habets-Sanchez's strong force condition on at the origin, the existence results, obtained by coincidence degree in this paper, have no restriction on the damping forces . Meanwhile, some quadratic growth of the restoring potentials at infinity is allowed.

Keywords:	Singular force strong force condition damped system coincidence degree

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