Asymptotic Methods in Singularly Perturbed Systems (Monographs in Contemporary Mathematics) - Hardcover

Mishchenko, E. F.; Etc.

9780306110344: Asymptotic Methods in Singularly Perturbed Systems (Monographs in Contemporary Mathematics)

Hardcover

ISBN 10: 0306110342 ISBN 13: 9780306110344

Verlag: Kluwer Academic / Plenum Publishers, 1994

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Furthers the construction of a full asymptotic theory of relaxation oscillations begun by earlier authors, and contains the results of a number of new problems, especially in systems of parabolic partial differential equations. Considers a singularly perturbed system to be one in which as the parameter tends to zero, Cauchy's resolvent operator for the main range of time and values and initial conditions from bounded sets converges to a limit object acting in a space of smaller dimension. No index. Annotation copyright Book News, Inc. Portland, Or.

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This unique text surveys the latest developments and various problems on periodic solutions and bifurcation processes in the theory of singularly perturbed systems of ordinary and partial differential equations. Chapters consider new formulations of the problems and important applications of the theory in mechanics, physics, and biology. The book is designed for post-graduate students in mathematics as well as for specialists in theoretical and applied mathematics, mechanics, physics, and engineering.

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