OSCILLATION THEORY OF OPERATOR-DIFFERENTIAL EQUATIONS

In this book, the authors aim at expounding a sufficiently rich oscillation theory and asymptotic theory of operator-differential equations. This book will be of interest not only to mathematicians, but also to experts in other areas of science and technology due to the numerous applications of the results discussed in the book.

Contents:

Introduction:
- Preliminary Notes
- Auxiliary Assertions
Nonoscillating Solutions of Operator-Differential Equations:
- Comparison Theorems
- Asymptotic Properties
- Decaying Solutions
- Existence of Nonoscillating Solutions
- Notes and Comments
Oscillatory Properties of the Solutions of Operator-Differential Equations:
- Decaying Solutions
- Bounded Oscillating Solutions
- Asymptotic Properties of the Oscillating Solutions
- Sufficient Conditions for Oscillation of the Solutions of Nonhomogeneous Equations
- Sufficient Conditions for Oscillation of the Solutions of Equations with Piecewise Constant Argument
- Notes and Comments
Slow, Moderate and Quick Oscillations of Operator-Differential Equations:
- Slowly Oscillating Solutions
- Moderately Oscillating Solutions
- Quickly Oscillating Solutions
- Notes and Comments
Asymptotic and Oscillatory Properties of Operator-Differential Equations of Neutral Type:
- Sufficient Conditions for Oscillation
- Sufficient Conditions for Existence of Bounded Nonoscillating Solutions
- Asymptotic Properties of the Nonoscillating Solutions
- Notes and Comments

Readership: Mathematicians, physicists, chemists, biologists and engineers.

216pp		Pub. date: Aug 1995
ISBN: 978-981-02-1100-4 981-02-1100-7		US$82 / £57

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