NONTRIVIAL PERIODIC SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL DELAY EQUATIONS

Qi Wang; Wenjie Liu; Mei Wang

doi:10.11948/2017058

2017 Volume 7 Issue 3

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Qi Wang, Wenjie Liu, Mei Wang. NONTRIVIAL PERIODIC SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL DELAY EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 931-941. doi: 10.11948/2017058

Citation:

Qi Wang, Wenjie Liu, Mei Wang. NONTRIVIAL PERIODIC SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL DELAY EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 931-941. doi: 10.11948/2017058

NONTRIVIAL PERIODIC SOLUTIONS FOR SECOND-ORDER DIFFERENTIAL DELAY EQUATIONS

1 School of Mathematical Sciences, Anhui University, Hefei, 230601, China;
2 School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, China

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Abstract

Abstract

In this paper, we consider the existence of periodic solutions for second-order differential delay equations. Some existence results are obtained using Malsov-type index and Morse theory, which extends and complements some existing results.
- Differential delay equations /
- periodic solutions /
- variational calculus /
- Malsov-type index /
- Morse theory
MSC: 39B22;34K13;49J40

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References

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