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Oscillation theory of delay differential equations : with applications

Author: I Győri; G E Ladas
Publisher: Oxford ; New York : Oxford University Press, 1991.
Series: Oxford mathematical monographs.
Edition/Format:   Print book : EnglishView all editions and formats
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The aim of this monograph is to present an account of the advances in the oscillation theory of delay differential equations - considering applications as diverse as the populations of blowflies,  Read more...

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Additional Physical Format: Online version:
Győri, I.
Oscillation theory of delay differential equations.
Oxford ; New York : Oxford University Press, 1991
(OCoLC)622919321
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: I Győri; G E Ladas
ISBN: 0198535821 9780198535829
OCLC Number: 22660766
Description: xii, 368 pages ; 24 cm.
Contents: 1. Preliminaries. 1.1. Some basic existence and uniqueness theorems. 1.2. Exponential boundedness of solutions. 1.3. The Laplace transform. 1.4. The z-transform. 1.5. Some basic lemmas. 1.6. Some basic lemmas on differential inequalities. 1.7. Some useful theorems from analysis. 1.8. Notes --
2. Oscillations of Linear Scalar Delay Equations. 2.1. Necessary and sufficient conditions for oscillations: The autonomous case. 2.2. Explicit conditions for oscillations. 2.3. Sufficient conditions for oscillations and for non-oscillations: The non-autonomous case. 2.4. Oscillations of delay differential equations with asymptotically constant coefficients. 2.5. Nicholson's blowflies. 2.6. Oscillations in non-autonomous equations with positive and negative coefficients. 2.7. Notes. 2.8. Open problems --
3. Generalized Characteristic Equation and Existence of Positive Solutions. 3.1. A generalized characteristic equation. 3.2. Differential inequalities and comparison results for positive solutions. 3.3. Existence of positive solutions. 3.4. Sufficient conditions for the oscillation of non-autonomous equations. 3.5. Notes. 3.6. Open problems --
4. Linearized Oscillation Theory and Applications to Mathematical Biology. 4.1. Linearized oscillation theory. 4.2. Time lags in a food-limited population model. 4.3. Oscillations in the delay logistic equation with several delays. 4.4.
Series Title: Oxford mathematical monographs.
Responsibility: I. Győri and G. Ladas.
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This very good monograph contains some of the most recent important developments in the oscillation theory of differential equations with deviating arguments. ... The book is well written ... and Read more...

 
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