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Numerical Methods for Systems of Nonlinear Parabolic Equations with Time Delays

โœ Scribed by C.V. Pao

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
251 KB
Volume
240
Category
Article
ISSN
0022-247X

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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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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 met

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Systems of Parabolic Equations with Continuous and Discrete Delays
โœ C.V. Pao ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 334 KB

In this paper we investigate the global existence and the dynamics of a coupled system of nonlinear parabolic equations where the nonlinear ''reaction function'' ลฝ . may depend on both continuous infinite or finite and discrete delays. It is shown that if the reaction function is locally Lipschitz c