Average value problems in ordinary differential equations |
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Authors: | Seng-Kee Chua |
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Affiliation: | National University of Singapore, Department of Mathematics, 10 Lower Kent Ridge Road, Singapore 119076 |
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Abstract: | Using Schauder's fixed point theorem, with the help of an integral representation in ‘Sharp conditions for weighted 1-dimensional Poincaré inequalities’, Indiana Univ. Math. J., 49 (2000) 143-175, by Chua and Wheeden, we obtain existence and uniqueness theorems and ‘continuous dependence of average condition’ for average value problem: y′=F(x,y), |
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Keywords: | primary, 34A12 secondary, 26D10 |
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