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Stability of difference schemes for a class of partial differential equations

โœ Scribed by Qin Mengzhao

Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
310 KB
Volume
23
Category
Article
ISSN
0006-3835

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๐Ÿ“œ SIMILAR VOLUMES

Stability criteria for a class of linear
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โœ B.G. Zhang; Chuan Jun Tian ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 285 KB

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.

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We consider the following non-autonomous and nonlinear difference equations with unbounded delays: -โˆž < j โ‰ค 0, where 0 < q < 1 and f j (x) (0 โ‰ค j < +โˆž) are suitable functions. We establish sufficient conditions for the zero solution of the above equation to be globally asymptotically stable. These