DELAY-DEPENDENT STABILITY OF RUNGE-KUTTA METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS

Shouyan Wu; Yuhao Cong

doi:10.11948/2156-907X.20180248

2019 Volume 9 Issue 3

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Shouyan Wu, Yuhao Cong. DELAY-DEPENDENT STABILITY OF RUNGE-KUTTA METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 1032-1052. doi: 10.11948/2156-907X.20180248

Citation:

Shouyan Wu, Yuhao Cong. DELAY-DEPENDENT STABILITY OF RUNGE-KUTTA METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS[J]. Journal of Applied Analysis & Computation, 2019, 9(3): 1032-1052. doi: 10.11948/2156-907X.20180248

DELAY-DEPENDENT STABILITY OF RUNGE-KUTTA METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS

Shouyan Wu¹,
Yuhao Cong^2,3, ,

1.
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China
2.
Department of Mathematics, Shanghai University, Shanghai, 200444, China
3.
Shanghai Customs college, Shanghai, 201204, China

Corresponding author: Email address:yhcong@shu.edu.cn(Y. Cong)
Fund Project: The authors were supported by National Natural Science Foundation of China (11471217)

Abstract

Abstract

The aim of this paper is to analyze the asymptotic stability of Runge-Kutta (RK) methods for neutral systems with distributed delays. With an adaptation of the argument principle, some sufficient criteria for weak delaydependent stability of numerical solutions are proposed. Several numerical examples are performed to confirm the effectiveness of our theoretical results.
- Neutral systems with distributed delays /
- delay-dependent stability /
- Pouzet-type Runge-Kutta methods /
- argument principle
MSC: 65L05, 65L07, 65L20

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References

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