Asymptotics of Nonlinearities and Operator Equations: 76 (Operator Theory: Advances and Applications, 76) - Hardcover

Krasnoselskii, Alexander

9783764351755: Asymptotics of Nonlinearities and Operator Equations: 76 (Operator Theory: Advances and Applications, 76)

Hardcover

ISBN 10: 3764351756 ISBN 13: 9783764351755

Publisher: Birkh�user, 1995

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New methods for solving classical problems in the theory of nonlinear operator equations (solvability, multiple solutions, bifurcations, nonlinear resonance, potential methods, etc) are introduced and discussed. The general abstract theorems are illustrated by various applications to differential equations and boundary value problems. In particular, the problem on forced periodic oscillations is considered for equations arising in control theory.

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Synopsis

This text introduces and discusses new methods for solving classical problems in the theory of nonlinear operator equations (such as solvability, multiple solutions, bifurcations, nonlinear resonance, potential methods). The theorems are illustrated by various applications to differential equations and boundary value problems. In particular, the problem on forced periodic oscillations is considered for equations arising in control theory.

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