The Cauchy-Nicoletti problem with poles |
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Authors: | T Werner |
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Institution: | (1) Department of Mathematics, Czech Academy of Sciences, i kova 22, 616 62 Brno, Czech Republic |
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Abstract: | The Cauchy-Nicoletti boundary value problem for a system of ordinary differential equations with pole-type singularities is investigated. The conditions of the existence, uniqueness, and nonuniqueness of a solution in the class of continuously differentiable functions are given. The classical Banach contraction principle is combined with a special transformation of the original problem. |
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Keywords: | 34B10 34B15 |
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