عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789401047975
(Number (ISBN
9789401118088
NATIONAL BIBLIOGRAPHY NUMBER
Number
b408777
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations
General Material Designation
[Book]
First Statement of Responsibility
by I. T. Kiguradze, T. A. Chanturia.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1993.
SERIES
Series Title
Mathematics and Its Applications, Soviet Series,
Volume Designation
89
ISSN of Series
0169-6378 ;
CONTENTS NOTE
Text of Note
I. Linear Differential Equations -- {sect}1. Equations Having Properties A and B -- Notes -- {sect}2. Oscillatory and Nonoscillatory Equations -- Notes -- {sect}3. Oscillation Properties of Solutions of Equations with Strongly Oscillating Coefficients -- Notes -- {sect}4. The Subspace of Solutions Vanishing at Infinity -- Notes -- {sect}5. Bounded and Unbounded Solutions -- Notes -- {sect}6. Asymptotic Formulas -- Notes -- II. Quasilinear Differential Equations -- {sect}7. Statement of the Problem. Auxiliary Assertions -- {sect}8. The Family of Lh Type Solutions of the Equation (7.1) -- Notes -- {sect}9. L°h, L?h and Lh Type Equations -- Notes -- III. General Nonlinear Differential Equations -- {sect}10. Theorems on the Classification of Equations with Respect to Their Oscillation Properties -- Notes -- {sect}11. Singular Solutions -- Notes -- {sect}12. Fast Growing Solutions -- Notes -- {sect}13. Kneser Solutions -- Notes -- {sect}14. Proper Oscillatory Solutions -- Notes -- IV. Higher Order Differential Equations Of Emden-Fowler Type -- {sect}15. Oscillatory Solutions -- Notes -- {sect}16. Nonoscillatory Solutions -- Notes -- V. Second Order Differential Equations Of Emden-Fowler Type -- {sect}17. Existence Theorems for Proper and Singular Solutions -- Notes -- {sect}18. Oscillation and Nonoscillation Criteria for Proper Solutions -- Notes -- {sect}19. Unbounded and Bounded Solutions, Solutions Vanishing at Infinity -- Notes -- {sect}20. Asymptotic Formulas -- Notes -- References -- Author Index.
0
SUMMARY OR ABSTRACT
Text of Note
This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789401047975
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Differential Equations.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Kiguradze, I. T.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Chanturia, T. A.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301074400.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
