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Periodic Solutions of Parabolic Systems with Time Delays

โœ Scribed by C.V Pao

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
114 KB
Volume
251
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

Existence of maximal and minimal periodic solutions of a coupled system of parabolic equations with time delays and with nonlinear boundary conditions is discussed. The proof of the existence theorem is based on the method of upper and lower solutions and its associated monotone iterations. This method is constructive and can be used to develop a computational algorithm for numerical solutions of the periodic-parabolic system. An application is given to a competitor-competitormutualist model which consists of a coupled system of three reaction-diffusion equations with time delays.

๐Ÿ“œ SIMILAR VOLUMES

Dynamics of Nonlinear Parabolic Systems
Dynamics of Nonlinear Parabolic Systems with Time Delays
โœ C.V. Pao ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 322 KB

The dynamics of a coupled system of semilinear parabolic equations with discrete time delays is investigated using the method of upper and lower solutions. It is shown that if the reaction function in the system possesses a mixed quasimonotone property and the corresponding elliptic system has a pai

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