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2012 | Buch

Impulsive Differential Equations and Almost Periodicity Kapitel lesen Erstes Kapitel lesen

Almost Periodic Solutions of Impulsive Differential Equations

verfasst von: Gani T. Stamov

Verlag: Springer Berlin Heidelberg

Buchreihe : Lecture Notes in Mathematics

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Über dieses Buch

In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Impulsive Differential Equations and Almost Periodicity
Abstract
The present chapter will deal with basic theory of the impulsive differential equations and almost periodicity. Section 1.1 will offer the main classes of impulsive differential equations, investigated in the book. The problems of existence, uniqueness, and continuability of the solutions will be discussed. The piecewise continuous Lyapunov functions will be introduced and some main impulsive differential inequalities will be given.
Gani T. Stamov
Chapter 2. Almost Periodic Solutions
Abstract
In the present chapter, we shall state some basic existence and uniqueness results for almost periodic solutions of impulsive differential equations. Applications to real world problems will also be discussed.
Gani T. Stamov
Chapter 3. Lyapunov Method and Almost Periodicity
Abstract
The present chapter will deal with the existence and uniqueness of almost periodic solutions of impulsive differential equations by Lyapunov method. Section 3.1 will offer almost periodic Lyapunov functions. The existence results of almost periodic solutions for different kinds of impulsive differential equations will be given.
Gani T. Stamov
Chapter 4. Applications
Abstract
In this chapter, we shall consider the some applications to the real world problems to illustrate the theory developed in the previous chapters. Section 4.1 will offer some impulsive biological models. We shall consider conditions for the existence of almost periodic solutions for an impulsive Lasota–1Wazewska model, an impulsive model of hematopoiesis, and an impulsive delay logarithmic population model.
Gani T. Stamov
Backmatter
Metadaten
Titel
Almost Periodic Solutions of Impulsive Differential Equations
verfasst von
Gani T. Stamov
Copyright-Jahr
2012
Verlag
Springer Berlin Heidelberg
Electronic ISBN
978-3-642-27546-3
Print ISBN
978-3-642-27545-6
DOI
https://doi.org/10.1007/978-3-642-27546-3

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