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.
Stability criteria for parabolic type partial difference equations
โ Scribed by Sheng-Li Xie; Sui Sun Cheng
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 337 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
This paper is concerned with the stability of neutral parabolic type partial difference equations with delays over cylindrical domains (see (1.1), (1.4) and (3.1)). Stability criteria involving the spatial Euclidean norms of the solutions are derived by means of basic analytic techniques. These criteria will likely find applications in the stability of finite difference schemes resulting from discretising parabolic reaction diffusion equations.
๐ SIMILAR VOLUMES
This paper is concerned with the linear delay partial difference equation where {a(i, j)}, {b(i, j)}, {p(i, j)}, i, j E No, are real sequences. Sufficient conditions for this equation to be stable are derived. Some conditions for this equation to be unstable are obtained also.