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Qualitative Theory of Volterra Difference Equations

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9783319971896: Qualitative Theory of Volterra Difference Equations
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<P>THIS BOOK PROVIDES A COMPREHENSIVE AND SYSTEMATIC APPROACH TO THE STUDY OF THE QUALITATIVE THEORY OF BOUNDEDNESS, PERIODICITY, AND STABILITY OF VOLTERRA DIFFERENCE EQUATIONS.&NBSP; THE BOOK BRIDGES TOGETHER THE THEORETICAL ASPECTS OF VOLTERRA DIFFERENCE EQUATIONS WITH ITS APPLICATIONS TO POPULATION DYNAMICS. APPLICATIONS TO REAL-WORLD PROBLEMS AND OPEN-ENDED PROBLEMS ARE INCLUDED THROUGHOUT.</P> <P>THIS BOOK WILL BE OF USE AS A PRIMARY REFERENCE TO RESEARCHERS AND GRADUATE STUDENTS WHO ARE INTERESTED IN THE STUDY OF BOUNDEDNESS OF SOLUTIONS, THE STABILITY OF THE ZERO SOLUTION, OR IN THE EXISTENCE OF PERIODIC SOLUTIONS USING LYAPUNOV FUNCTIONALS AND THE NOTION OF FIXED POINT THEORY.</P><BR>

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“The book is well-written and the presentation is rigorous and very clear. This monograph is a great source for graduate students in mathematics and science and for all researchers interested in the qualitative theory of Volterra difference equations and functional difference equations.” (Rodica Luca, zbMATH 1402.39001, 2019)

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This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations.  The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout.

This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory.


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9783030073183: Qualitative Theory of Volterra Difference Equations

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ISBN 10: 3030073181 ISBN 13: 9783030073183
Verlag: Springer, 2018
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Youssef N. Raffoul
Verlag: Springer International Publishing (2018)
ISBN 10: 3319971891 ISBN 13: 9783319971896
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware -This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations. The book bridges together the theoretical aspects of Volterra difference equations with its applications to population dynamics. Applications to real-world problems and open-ended problems are included throughout.This book will be of use as a primary reference to researchers and graduate students who are interested in the study of boundedness of solutions, the stability of the zero solution, or in the existence of periodic solutions using Lyapunov functionals and the notion of fixed point theory. 340 pp. Englisch. Artikel-Nr. 9783319971896

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