In this paper, we investigate the Ξ±th moment asymptotical stability of the analytic solution and the numerical methods for the stochastic pantograph equation by using the Razumikhin technique. Especially the linear stochastic pantograph equations and the semiimplicit Euler method applying them are c
Exact and discretized stability of the pantograph equation
β Scribed by Arieh Iserles
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 973 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0168-9274
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π SIMILAR VOLUMES
Making use of the link with Schrodinger operators and the Darboux transformation, a Backlund transformation BT for Β¨Ε½ . the continuous Ermakov-Pinney equation is constructed. By considering two applications of the BT we obtain a second order discrete equation, which is naturally interpreted as the e
This paper presents some numerical examples concerning the pantograph equation y'(t) = ay(t) -t by(qt) for different values of the parameters a, b, q, satisfying the conditions Ial + b < 0, 0 < 1 -q << 1. "Naive" interpretation of these examples could lead to wrong conclusion on the asymptotic behav