Existence And Uniqueness Of Solutions To Nonlinear Volterra Integral And Integrodifferential Equations PDF Download
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Author | : Stanley I. Grossman |
Publisher | : |
Total Pages | : 124 |
Release | : 1969 |
Genre | : |
ISBN | : |
Download Existence and Uniqueness of Solutions to Nonlinear Volterra Integral and Integrodifferential Equations Book in PDF, ePub and Kindle
Author | : Peter Linz |
Publisher | : SIAM |
Total Pages | : 228 |
Release | : 1985-07-01 |
Genre | : Mathematics |
ISBN | : 0898711983 |
Download Analytical and Numerical Methods for Volterra Equations Book in PDF, ePub and Kindle
Presents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.
Author | : Rostam K. Saeed |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 164 |
Release | : 2011-04 |
Genre | : |
ISBN | : 9783844330755 |
Download Computational Methods for Solving System of Volterra Integral Equation Book in PDF, ePub and Kindle
In this work the existence and uniqueness theorem for single linear Volterra integral equation has been generalized to a system of linear Volterra integral equation of the second kind. Depending on Banach fixed point theorem, some new results have been proved.Also, a Taylor series expansion has been considered to solve a system of linear Volterra integral equations of the second kind and a system of linear Volterra integro-differential equations of the second kind.In addition, three different types of iterative methods have been formulated to solve above systems. Furthermore, we derive a new iterative method named by "modified successive approximation method" to solve above systems. By this modification a faster rate of convergence for the successive method is established. Also, we proved a new theorem about the existence, uniqueness and convergence of this method. Two different kinds of weighted residual methods have been applied to treat the above systems. Moreover, the spectral method has been modified and applied for solving the above systems.
Author | : Richard K. Miller |
Publisher | : |
Total Pages | : 488 |
Release | : 1971 |
Genre | : Mathematics |
ISBN | : |
Download Nonlinear Volterra Integral Equations Book in PDF, ePub and Kindle
Author | : Tofigh Allahviranloo |
Publisher | : Springer Nature |
Total Pages | : 303 |
Release | : 2020-06-15 |
Genre | : Technology & Engineering |
ISBN | : 303051272X |
Download Fuzzy Fractional Differential Operators and Equations Book in PDF, ePub and Kindle
This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the title of the book suggests, the fuzzy subject matter is one of the most important tools discussed. Therefore, it begins by providing a brief but important and new description of fuzzy sets and the computational calculus they require. Fuzzy fractals and fractional operators have a broad range of applications in the engineering, medical and economic sciences. Although these operators have been addressed briefly in previous papers, this book represents the first comprehensive collection of all relevant explanations. Most of the real problems in the biological and engineering sciences involve dynamic models, which are defined by fuzzy fractional operators in the form of fuzzy fractional initial value problems. Another important goal of this book is to solve these systems and analyze their solutions both theoretically and numerically. Given the content covered, the book will benefit all researchers and students in the mathematical and computer sciences, but also the engineering sciences.
Author | : |
Publisher | : |
Total Pages | : 14 |
Release | : 2019 |
Genre | : |
ISBN | : |
Download Existence, Uniqueness and Stability Solution of Volterra-Friedholm of Integro-Differential Equations Book in PDF, ePub and Kindle
This article investigates existence, uniqueness and stability solutions of new Volterra- Friedholm of integro-differential equations by using both method Picard approximation and Banach fixed point theorem which was introduced by Rama. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Also expand the some results gained by Butris.
Author | : Ravi P. Agarwal |
Publisher | : Nova Publishers |
Total Pages | : 376 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 9781590330944 |
Download Nonlinear Integral Equations and Inclusions Book in PDF, ePub and Kindle
Author | : Dajun Guo |
Publisher | : Springer Science & Business Media |
Total Pages | : 350 |
Release | : 2013-11-22 |
Genre | : Mathematics |
ISBN | : 1461312817 |
Download Nonlinear Integral Equations in Abstract Spaces Book in PDF, ePub and Kindle
Many problems arising in the physical sciences, engineering, biology and ap plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces. The theory of nonlinear integral equations in ab stract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science. This book is devoted to a comprehensive treatment of nonlinear integral equations in abstract spaces. It is the first book that is dedicated to a systematic development of this subject, and it includes the developments during recent years. Chapter 1 introduces some basic results in analysis, which will be used in later chapters. Chapter 2, which is a main portion of this book, deals with nonlin ear integral equations in Banach spaces, including equations of Fredholm type, of Volterra type and equations of Hammerstein type. Some applica equations tions to nonlinear differential equations in Banach spaces are given. We also discuss an integral equation modelling infectious disease as a typical applica tion. In Chapter 3, we investigate the first order and second order nonlinear integro-differential equations in Banach spaces including equations of Volterra type and equations of mixed type. Chapter 4 is devoted to nonlinear impulsive integral equations in Banach spaces and their applications to nonlinear impul sive differential equations in Banach spaces.
Author | : James R. Ward |
Publisher | : |
Total Pages | : 242 |
Release | : 1975 |
Genre | : Volterra equations |
ISBN | : |
Download Contributions to the Existence and Stability of Solutions to Nonlinear Volterra Integral Equations Book in PDF, ePub and Kindle
Author | : C. Corduneanu |
Publisher | : CRC Press |
Total Pages | : 522 |
Release | : 2000-01-10 |
Genre | : Mathematics |
ISBN | : 9789056991715 |
Download Volterra Equations and Applications Book in PDF, ePub and Kindle
This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in the theory of integral equations and nonlinear functional analysis. Volterra series are of interest and use in pure and applied mathematics and engineering.