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Start Over Descriptor "integral type boundary value problem" Publisher romanian society of applied & industrial mathematics
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1. MONOTONE ITERATIVE TECHNIQUE FOR INTEGRAL BOUNDARY VALUE PROBLEMS OF SINGULAR DIFFERENTIAL EQUATIONS ON THE WHOLE LINE.

Author

Yuji Liu and Xingyuan Liu

Subjects
*NUMERICAL solutions to boundary value problems, *ITERATIVE methods (Mathematics), *DIFFERENTIAL equations, *FIXED point theory, *MONOTONE operators, *APPROXIMATION theory
Abstract

This paper deals with the existence of positive solutions for some boundary value problems of the singular differential equations on the whole line. Our approach is based on the fixed point theorem and the monotone iterative technique. Without the assumption of the existence of lower and upper solutions, we obtain not only the existence of nonneg-ative solutions for the problems, but also establish iterative schemes for approximating the solutions. [ABSTRACT FROM AUTHOR]

Published
2012

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