EXISTENCE OF PERIODIC SOLUTION FOR FOURTH-ORDER LI&#201;NARD TYPE <i>P</i> -LAPLACIAN GENERALIZED NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER

Zhibo Cheng; Jingli Ren

doi:10.11948/2015054

2015 Volume 5 Issue 4

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Zhibo Cheng, Jingli Ren. EXISTENCE OF PERIODIC SOLUTION FOR FOURTH-ORDER LIÉNARD TYPE P -LAPLACIAN GENERALIZED NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 704-720. doi: 10.11948/2015054

Citation:

Zhibo Cheng, Jingli Ren. EXISTENCE OF PERIODIC SOLUTION FOR FOURTH-ORDER LIÉNARD TYPE P -LAPLACIAN GENERALIZED NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 704-720. doi: 10.11948/2015054

EXISTENCE OF PERIODIC SOLUTION FOR FOURTH-ORDER LIÉNARD TYPE P -LAPLACIAN GENERALIZED NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER

Zhibo Cheng¹,
Jingli Ren²

1 School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China;
2 School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Fund Project:

Abstract

Abstract

In this paper, we consider the following fourth-order Li´ enard type p-Laplacian generalized neutral differential equation with variable parameter (φp(x(t)-c(t)x(t-δ(t)))")" +f(x(t))x'(t)+g(t, x(t), x(t-τ(t)), x'(t))=e(t). By applications of coincidence degree theory and some analysis skills, sufficient conditions for the existence of periodic solutions are established.
- Periodic solution /
- p-Laplacian /
- fourth-order /
- neutral operator /
- liénard type
MSC: 34C25;34K13;34K40

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References

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