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Series on Soviet & East European Mathematics - Vol. 10
OSCILLATION THEORY OF OPERATOR-DIFFERENTIAL EQUATIONS
by D Bainov (South-Western Universty., Bulgaria) & D Mishev (Technical University, Bulgaria)
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 |
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