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Nonoscillation theory of functional differential equations with applications. (English) Zbl 1253.34002
Berlin: Springer (ISBN 978-1-4614-3454-2/hbk; 978-1-4614-3455-9/ebook). xv, 520 p. (2012).
The monograph is covering a wide class of functional differential equations: scalar, systems, higher-order, delay, integro-differential, neutral, impulsive, deviating arguments, initial value, boundary value problems and abstract linear differential equations. Each chapter ends with a discussion and a proposal of open problems directing the readers to possible future research. Therefore, we strongly recommend the monograph for applied mathematicians, researchers in different field of engineering and graduate students planning their further study in the field of functional differential equations.
The monograph consist of 17 chapters and two well-designed and -organized appendices and a rich list of recent references on functional differential equations, and oscillations and non-oscillations of solutions of functional differential equations. The main purpose of the monograph is to consider non-oscillatory and positive solutions for functional differential equations and to present their applications. Al the topics are explained through an elementary presentation and present a good choice as a textbook or a handbook for graduate students and researchers who want to study functional differential equations and the oscillation theory of functional differential equations.
The book is well organized, easy to read; senior undergraduate students will be able to follow the proofs and explanations. The monograph could be one of the basic handbooks consulted for studying and understanding functional differential equations and their oscillation theory.

MSC:
34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations
34K11 Oscillation theory of functional-differential equations
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