SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY

doi:10.1016/S0252-9602(17)30108-X

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (6): 1803-1816.doi: 10.1016/S0252-9602(17)30108-X

SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY

孔凡超, 罗治国

Key Laboratory of High Performance Computing and Stochastic Information Processing(HPCSIP)(Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China

收稿日期:2016-06-07 修回日期:2016-10-30 出版日期:2017-12-25 发布日期:2017-12-25
作者简介:Fanchao KONG,fanchaokong88@yahoo.com;Zhiguo LUO,luozg@hunnu.edu.cn
基金资助:
The research was supported by the National Natural Science Foundation of China (11471109), the Construct Program of the Key Discipline in Hunan Province and Hunan Provincial Innovation Foundation for Postgraduate (CX2017B172).

SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY

Fanchao KONG, Zhiguo LUO

Key Laboratory of High Performance Computing and Stochastic Information Processing(HPCSIP)(Ministry of Education of China), College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China

Received:2016-06-07 Revised:2016-10-30 Online:2017-12-25 Published:2017-12-25
Supported by:
The research was supported by the National Natural Science Foundation of China (11471109), the Construct Program of the Key Discipline in Hunan Province and Hunan Provincial Innovation Foundation for Postgraduate (CX2017B172).

摘要/Abstract

摘要：

This paper is concerned with the non-Newtonian filtration equations with nonlinear sources and a time-varying delay. By an extension of Mawhin's continuation theorem and some analysis methods, several sufficient conditions ensuring the existence of solitary wave and periodic wave solutions are obtained. Some corresponding results in the literature are improved and extended. An example is given to illustrate the effectiveness of our results.

关键词: solitary wave, periodic wave, Mawhin's continuation theorem, time-varying delay, nonlinear sources

Abstract:

Key words: solitary wave, periodic wave, Mawhin's continuation theorem, time-varying delay, nonlinear sources

孔凡超, 罗治国. SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY[J]. 数学物理学报(英文版), 2017, 37(6): 1803-1816.

Fanchao KONG, Zhiguo LUO. SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY[J]. Acta mathematica scientia,Series B, 2017, 37(6): 1803-1816.

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SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY

SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS FOR THE NON-NEWTONIAN FILTRATION EQUATIONS WITH NONLINEAR SOURCES AND A TIME-VARYING DELAY

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