Introduction to integral equations with applications by Abdul J. Jerri, , Dekker edition, in English. Introduction to. Integral Equations with Applications. Second Edition. ABDUL J. JERRI. Clarkson University. ®. A Wiley-Interscience Publication. JOHN WILEY. Available in the National Library of Australia collection. Author: Jerri, Abdul J., ; Format: Book; x, p.: ill. ; 24 cm.
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The two kinds of equations are approached Preface ix by many appropriate algorithms that are illustrated in details. A comprehensive study is introduced where a variety of reliable methods is applied independently and supported by many illustrative examples. The proposed methods introduce a powerful tool for handling these two types of equations.
Examples are provided with a substantial amount of explanation. A detailed and clear explanation of every application is introduced and supported by fully explained examples and exercises of every type.
Systems of integral equations that are important, are handled by using very constructive methods. A discussion of the basic theory and illustrations of the solutions to the systems are presented to introduce the material in a clear and useful fashion. Singular systems in one, two, and three variables are thoroughly investigated. The systems are supported by a variety of useful methods that are well explained and illustrated.
The nonlinearity of these models may give more than one solution and this is the nature of nonlinear problems.
More emphasis on the existence of solutions is proved and emphasized. A variety of methods are employed, introduced and explained in a clear and useful manner.
Chapter 15 investigates thoroughly the existence theorem, bifurcation points and singular points that may arise from nonlinear Fredholm integral equations. Systems of these equations are examined with illustrated examples.
The approach we followed is identical to our approach in the previous chapters to make the discussion accessible for interdisciplinary audience. Chapter 17 provides the reader with a comprehensive discussion of the nonlinear singular integral equations, nonlinear weakly singular integral equations, and systems of these equations.
This chapter closes Part II of this text. The book concludes with seven useful appendices.
Moreover, the book introduces the traditional methods in the same amount of concern to provide the reader with the knowledge needed to make a comparison. I deeply acknowledge Professor Albert Luo for many helpful discussions, encouragement, and useful remarks.
I am also indebted to Ms. I owe them all my deepest thanks. I also deeply acknowledge Professor Louis Pennisi who made very valuable suggestions that helped a great deal in directing this book towards its main goal.