Stability Of Differential Equations With Aftereffect

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Introduction to the Theory of Functional Differential Equations: Methods and Applications

Author: Nikolaj Viktorovič Azbelev
language: en
Publisher: Hindawi Publishing Corporation
Release Date: 2007
Stability of Functional Differential Equations

This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables.
Nonoscillation Theory of Functional Differential Equations with Applications

Author: Ravi P. Agarwal
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-04-23
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays and equations with variable deviations of the argument. Each chapter includes an introduction and preliminaries, thus making it complete. Appendices at the end of the book cover reference material. Nonoscillation Theory of Functional Differential Equations with Applications is addressed to a wide audience of researchers in mathematics and practitioners.