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Theory, Methods, and Applications
A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theor...
With Special Functions, Fourier Series, and Boundary Value Problems
In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained wit...
Ordinary differential equations serve as mathematical models for many exciting real world problems. Rapid growth in the theory and applications of dif...
This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniquene...
โThe book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the...
This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features o...
This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal c...
This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most o...
This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equation...
This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms, in particula...
World Scientific Series in Applicable Analysis (WSSIAA) reports new developments of a high mathematical standard and of current interest. Each volume ...
This work introduces readers to the topic of maximal regularity for difference equations. The authors systematically present the method of maximal reg...
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Contents: Some ExamplesLinear ProblemsGreen's FunctionMethod of Complementary FunctionsMethod of AdjointsMethod of ChasingSecond Order EquationsError ...
This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to appli...
This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functi...
With Applications in Translation Functions and Dynamic Equations
This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 t...
A Landmark Discovery, the Dreadful Void, and the Ultimate Mind
Zero indicates the absence of a quantity or a magnitude. It is so deeply rooted in our psyche today that nobody will possibly ask "What is zero?" From...
This book is devoted to a rapidly developing branch of the qualitative theory of difference equations with or without delays. It presents the theory o...
Interest in the mathematical analysis of multi-functions has increased rapidly over the past thirty years, partly because of its applications in field...
This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. T...
Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type ...
This volume, which presents the cumulation of the authors' research in the field, deals with Lidstone, Hermite, Abel-Gontscharoff, Birkhoff, piecewise...
Presents a Morse theoretic study of a very general class of homogeneous operators that includes the $p$-Laplacian as a special case. The $p$-Laplacian...
This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to m...
This book systematically establishes the almost periodic theory of dynamic equations and presents applications on time scales in fuzzy mathematics and...
This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, an...
The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group theory, module...
This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solv...
The qualitative theory of dynamic equations is a rapidly developing area of research. In the last 50 years, the Oscillation Theory of ordinary, functi...
The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, nu...
In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied math...
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book ...
Environmental variation plays an important role in many biological and ecological dynamical systems. This monograph focuses on the study of oscillatio...
This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginnin...
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools ...
This book contains selected 124 original papers which are based on the research lectures given at the conference on Differential and Difference Equati...