American Journal of Mathematics
American Journal of Mathematics

Author:

Publisher:

Published: 1917

Total Pages: 474

ISBN-13:

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The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.

Integral Equations and Their Applications
Integral Equations and Their Applications

Author: Matiur Rahman

Publisher: WIT Press

Published: 2007

Total Pages: 385

ISBN-13: 1845641019

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The book deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's function as a symmetric kernel of the integral equations.

Some Gronwall Type Inequalities and Applications
Some Gronwall Type Inequalities and Applications

Author: Sever Silvestru Dragomir

Publisher:

Published: 2003

Total Pages: 210

ISBN-13:

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Gronwall type integral inequalities of one variable for real functions play a very important role in the Qualitative Theory of Differential Equations. The main aim of the present research monograph is to present some natural applications of Gronwall inequalities with non-linear kernels of Lipschitz type of the problems of boundedness and convergence to zero at infinity of the solutions of certain Volterra integral equations. Stability, uniform stability, uniform asymptotic stability and global asymptotic stability properties for trivial solution of certain differential system of equations are also investigated. Contents: Preface; Integral Inequalities of Gronwall Type; Inequalities for Kernels of (L)-Type; Applications to Integral Equations; Applications to Differential Equations; Index.