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2013 HOMOCLINIC SOLUTIONS FOR A CLASS OF NONLINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH TIME-VARYING DELAYS
Yongkun Li, Li Yang
Taiwanese J. Math. 17(6): 2149-2161 (2013). DOI: 10.11650/tjm.17.2013.3198

Abstract

In this paper, by using Mawhin's continuation theorem of coincidence degree theory, we obtain some sufficient conditions for the existence of homoclinic solutions for a class of nonlinear second-order differential equations with time-varying delays. Moreover, we give an example to illustrate the feasibility of obtained results. Our results are completely new.

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Yongkun Li. Li Yang. "HOMOCLINIC SOLUTIONS FOR A CLASS OF NONLINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS WITH TIME-VARYING DELAYS." Taiwanese J. Math. 17 (6) 2149 - 2161, 2013. https://doi.org/10.11650/tjm.17.2013.3198

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1288.34058
MathSciNet: MR3141879
Digital Object Identifier: 10.11650/tjm.17.2013.3198

Subjects:
Primary: 34C37 , 34K13

Keywords: Coincidence degree , differential equations time-varying delays , homoclinic solutions

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

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Vol.17 • No. 6 • 2013
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