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On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function

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Abstract

For a first-order ordinary differential equation, we establish conditions under which a singular Cauchy problem has a unique continuously differentiable solution with required asymptotic behavior.

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Authors and Affiliations

  1. Odessa Polytechnic University, Odessa

    A. E. Zernov

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  1. A. E. Zernov
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Zernov, A.E. On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function. Ukrainian Mathematical Journal 53, 293–298 (2001). https://doi.org/10.1023/A:1010477306463

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  • DOI: https://doi.org/10.1023/A:1010477306463

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