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  • Oscillation Theory for Second Order Dynamic Equations

    Series series Mathematical Analysis and Applications
    The qualitative theory of dynamic equations is a rapidly developing area of research. In the last 50 years, many scholars have studied the oscillation theory of ordinary, functional, neutral, partial, and impulsive differential equations. Many books deal with oscillation theory, but in a way that appeals only to researchers already familiar with the subject. In an effort to bring the topic to a ... Leer más

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  • 500 Examples and Problems of Applied Differential Equations

    Series series Mathematics and Statistics (R0)
    This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge–Kutta ... Leer más

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  • Constant-Sign Solutions of Systems of Integral Equations

    Series series Mathematics and Statistics (R0)
    This monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. In particular, the focus is on different systems of Volterra and Fredholm equations. The presentation is systematic and the material is broken down into several concise chapters. An introductory chapter covers the basic preliminaries. Throughout ... Leer más

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  • An Introduction to Real Analysis

    This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course. ... Leer más

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  • Non-Instantaneous Impulses in Differential Equations

    Series series Mathematics and Statistics (R0)
    This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three ... Leer más

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  • Dynamic Inequalities On Time Scales

    Series series Mathematics and Statistics (R0)
    This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics.In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's ... Leer más

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  • Integral and Integrodifferential Equations

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    Series series Mathematical Analysis and Applications
    This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction. ... Leer más

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  • Hardy Type Inequalities on Time Scales

    Series series Mathematics and Statistics (R0)
    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 contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, ... Leer más

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  • Oscillation and Stability of Delay Models in Biology

    Series series Mathematics and Statistics (R0)
    Environmental variation plays an important role in many biological and ecological dynamical systems. This monograph focuses on the study of oscillation and the stability of delay models occurring in biology. The book presents recent research results on the qualitative behavior of mathematical models under different physical and environmental conditions, covering dynamics including the distribution ... Leer más

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  • Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications

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    This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue problems for ... Leer más

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  • Fixed Point Theory in Metric Type Spaces

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    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 spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology.The text is structured so that it leads the reader from preliminaries and ... Leer más

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  • Topology and Approximate Fixed Points

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    This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed ... Leer más

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