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 crit
Stability criteria for two partial difference equations
โ Scribed by Yi-Zhong Lin; Sui Sun Cheng
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 787 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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.
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.
## 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 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