Singular Differential and Integral Equations with Applications

Name: Singular Differential and Integral Equations with Applications
Brand: Springer Netherlands
SKU: 9781402014574
Price: 105.3 EUR
Availability: InStock

Автор: R. P. Agarwal, D. O'Regan

Език:

Корици: С твърди корици

Издател: Springer Netherlands

Наличност: Външен склад

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In the last century many problems which arose in the science, engineer ing and technology literature...

Информация за книгата

Автор

R. P. Agarwal, D. O'Regan

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2003

страници

402

EAN

9781402014574

ISBN

1402014570

Enbook ID

05256057

Издател

Springer Netherlands

Теглоt

767

Размери

160 x 240 x 23

Пълно описание

In the last century many problems which arose in the science, engineer ing and technology literature involved nonlinear complex phenomena. In many situations these natural phenomena give rise to (i). ordinary differ ential equations which are singular in the independent and/or dependent variables together with initial and boundary conditions, and (ii). Volterra and Fredholm type integral equations. As one might expect general exis tence results were difficult to establish for the problems which arose. Indeed until the early 1990's only very special examples were examined and these examples were usually tackled using some special device, which was usually only applicable to the particular problem under investigation. However in the 1990's new results in inequality and fixed point theory were used to present a very general existence theory for singular problems. This mono graph presents an up to date account of the literature on singular problems. One of our aims also is to present recent theory on singular differential and integral equations to a new and wider audience. The book presents a compact, thorough, and self-contained account for singular problems. An important feature of this book is that we illustrate how easily the theory can be applied to discuss many real world examples of current interest. In Chapter 1 we study differential equations which are singular in the independent variable. We begin with some standard notation in Section 1. 2 and introduce LP-Caratheodory functions. Some fixed point theorems, the Arzela- Ascoli theorem and Banach's theorem are also stated here.

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Singular Differential and Integral Equations with Applications

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Пълно описание

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