Periodic Solutions of Equations of Emarkov-Pinney Type

Advanced Nonlinear Studies - Tập 6 Số 1 - Trang 57-67 - 2006
Meirong Zhang1
1Department of Mathematical Sciences, Tsinghua University - Beijing 100084, China

Tóm tắt

Abstract After establishing a relation between the Hill’s equations and the Emarkov-Pinney equations, we are able to use degree theory to remove a technical assumption in [14], and give a complete set of non-resonance conditions for differential equations with repulsive singularities.

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Tài liệu tham khảo

Tvrdy, 1950, Math Rach unkova Stanek and Singularities and Laplacians in boundary value problems for nonlinear ordinary differential equations in Handbook of Differential Equations Ordinary Differential Equations vol pp , to appear, Soc, 112, 681

Thông tin
Thông tin xuất bản

Advanced Nonlinear Studies

Tập 6 Số 1

57-67

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