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Titlebook: Singular Differential and Integral Equations with Applications; Ravi P. Agarwal,Donal O’Regan Book 2003 Springer Science+Business Media Do

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书目名称Singular Differential and Integral Equations with Applications
编辑Ravi P. Agarwal,Donal O’Regan
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图书封面Titlebook: Singular Differential and Integral Equations with Applications;  Ravi P. Agarwal,Donal O’Regan Book 2003 Springer Science+Business Media Do
描述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
出版日期Book 2003
关键词Boundary value problem; Integral equation; differential equation; ordinary differential equation; ordina
版次1
doihttps://doi.org/10.1007/978-94-017-3004-4
isbn_softcover978-90-481-6356-4
isbn_ebook978-94-017-3004-4
copyrightSpringer Science+Business Media Dordrecht 2003
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978-90-481-6356-4Springer Science+Business Media Dordrecht 2003
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Differential Equations Singular in the Independent Variable,theorems, the Arzela—Ascoli theorem and Banach’s theorem are also stated here. These results are used throughout this monograph. In Section 1.3 we discuss general existence theory for the initial value problems. First we state the Picard—Lindelöf, Peano’s and a local existence theorem in the Carathé
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