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Global Existence and Stability of Solutions for Reaction Diffusion Functional Differential Equations

โœ Scribed by Mengxing He

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
181 KB
Volume
199
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this article, a class of reaction diffusion functional differential equations is investigated. The global existence and uniqueness of solutions and the stability of the trivial solution are obtained. Some applications are also discussed. The method proposed in this article is a combination of the iterative analysis, the fixed point theorem, and the comparison principle.

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โœ Jonq Juang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB

We consider a matrix Riccati equation containing two parameters c and โฃ. The quantity c denotes the average total number of particles emerging from a collision, ลฝ . ลฝ . which is assumed to be conservative i.e., 0c F 1 , and โฃ 0 F โฃ -1 is an ร„ลฝ . 4 angular shift. Let S s c, โฃ : 0c F 1 and 0 F โฃ -1 .