Existence Theory for Nonlinear Integral and Integrodifferential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Existence Theory for Nonlinear Integral and Integrodifferential Equations write by Donal O'Regan. This book was released on 2012-12-06. Existence Theory for Nonlinear Integral and Integrodifferential Equations available in PDF, EPUB and Kindle. The theory of integral and integrodifferential equations has ad vanced rapidly over the last twenty years. Of course the question of existence is an age-old problem of major importance. This mono graph is a collection of some of the most advanced results to date in this field. The book is organized as follows. It is divided into twelve chap ters. Each chapter surveys a major area of research. Specifically, some of the areas considered are Fredholm and Volterra integral and integrodifferential equations, resonant and nonresonant problems, in tegral inclusions, stochastic equations and periodic problems. We note that the selected topics reflect the particular interests of the authors. Donal 0 'Regan Maria Meehan CHAPTER 1 INTRODUCTION AND PRELIMINARIES 1.1. Introduction The aim of this book is firstly to provide a comprehensive existence the ory for integral and integrodifferential equations, and secondly to present some specialised topics in integral equations which we hope will inspire fur ther research in the area. To this end, the first part of the book deals with existence principles and results for nonlinear, Fredholm and Volterra inte gral and integrodifferential equations on compact and half-open intervals, while selected topics (which reflect the particular interests of the authors) such as nonresonance and resonance problems, equations in Banach spaces, inclusions, and stochastic equations are presented in the latter part.
Topics in Integral and Integro-Differential Equations
Topics in Integral and Integro-Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topics in Integral and Integro-Differential Equations write by Harendra Singh. This book was released on 2021-04-16. Topics in Integral and Integro-Differential Equations available in PDF, EPUB and Kindle. This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. Key Features • New and advanced methods for solving integral and integro-differential equations • Contains comparison of various methods for accuracy • Demonstrates the applicability of integral and integro-differential equations in other scientific areas • Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations
Integral and Integrodifferential Equations
Integral and Integrodifferential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral and Integrodifferential Equations write by Ravi P. Agarwal. This book was released on 2000-03-09. Integral and Integrodifferential Equations available in PDF, EPUB and Kindle. 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.
Theory of Functionals and of Integral and Integro-differential Equations
Theory of Functionals and of Integral and Integro-differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Functionals and of Integral and Integro-differential Equations write by Vito Volterra. This book was released on 2005. Theory of Functionals and of Integral and Integro-differential Equations available in PDF, EPUB and Kindle. A classic work by the mathematician who developed the general theory of functions that depend on a continuous set of values of another function, this volume deals primarily with integral equations.
Theory of Integro-Differential Equations
Theory of Integro-Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Integro-Differential Equations write by V. Lakshmikantham. This book was released on 1995-03-15. Theory of Integro-Differential Equations available in PDF, EPUB and Kindle. This unique monograph investigates the theory and applications of Volterra integro-differential equations. Whilst covering the basic theory behind these equations it also studies their qualitative properties and discusses a large number of applications. This comprehensive work presents a unified framework to investigate the fundamental existence of theory, treats stability theory in terms of Lyapunov functions and functionals, develops the theory of integro-differential equations with impulse effects, and deals with linear evolution equations in abstract spaces. Various applications of integro-differential equations, such as population dynamics, nuclear reactors, viscoelasticity, wave propagation and engineering systems, are discussed, making this book indispensable for mathematicians and engineers alike.
