The stability of certain partial difference equations
โ Scribed by Bing Gen Zhang; Xing Hua Deng
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 233 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
This
paper is concerned with the linear delay partial difference equation
where a and v are positive integers, a(i,j), b(i,j), p(i,j) are real sequences defined on i > or, j ) T. Sufficient conditions for this equation to be stable are derived. Stability of certain nonlinear partial difference equations is studied also. (~) 2001 Elsevier Science Ltd. All rights reserved.
๐ SIMILAR VOLUMES
## This paper is concerned with the nonlinear partial difference equation with continuous variables m A(x + a, y) + A(x, y + a) -A(x, y) + E hi(x, y, A(x -ai, y -~-i)) -~ 0, i=l where a, ai, ri are positive numbers, hi(x,y,u) E C(R + ร R + x R, R), uhi(x, y, u) > 0 for u ยข 0, hi is nondecreasing i
This paper is concerned with two classes of linear partial difference equations with constant coefficients. Explicit conditions are derived, which are sufficient and/or necessary for these equations to have stable solutions.