Existence of periodic solutions for the nonlinear functional differential equation in the lossless transmission line model

doi:10.1088/1674-1056/21/1/010202

中国物理B ›› 2012, Vol. 21 ›› Issue (1): 10202-010202.doi: 10.1088/1674-1056/21/1/010202

Existence of periodic solutions for the nonlinear functional differential equation in the lossless transmission line model

汪娜

Department of Mathematics, East China Normal University, Shanghai 200241, China

收稿日期:2011-07-11 修回日期:2011-09-01 出版日期:2012-01-15 发布日期:2012-01-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11071075).

Existence of periodic solutions for the nonlinear functional differential equation in the lossless transmission line model

Wang Na(汪娜)^†

Department of Mathematics, East China Normal University, Shanghai 200241, China

Received:2011-07-11 Revised:2011-09-01 Online:2012-01-15 Published:2012-01-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11071075).

摘要/Abstract

摘要： We study a time delay equation for the lossless transmission line model. Under suitable conditions, by using the continuation theorem of the coincidence degree theory, the existence of the periodic solution for the nonlinear functional differential equation is obtained.

关键词: periodic solution, time delay, nonlinearity, coincidence degree

Abstract: We study a time delay equation for the lossless transmission line model. Under suitable conditions, by using the continuation theorem of the coincidence degree theory, the existence of the periodic solution for the nonlinear functional differential equation is obtained.

Key words: periodic solution, time delay, nonlinearity, coincidence degree

中图分类号: (Ordinary differential equations)

02.30.Hq

02.30.Ks (Delay and functional equations) 02.30.Sa (Functional analysis) 02.30.Tb (Operator theory)

汪娜. Existence of periodic solutions for the nonlinear functional differential equation in the lossless transmission line model[J]. 中国物理B, 2012, 21(1): 10202-010202.

Wang Na(汪娜) . Existence of periodic solutions for the nonlinear functional differential equation in the lossless transmission line model[J]. Chin. Phys. B, 2012, 21(1): 10202-010202.

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Existence of periodic solutions for the nonlinear functional differential equation in the lossless transmission line model

Existence of periodic solutions for the nonlinear functional differential equation in the lossless transmission line model

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