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Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients

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Abstract

In this paper, the Pfaff equations with continuous coefficients are considered. Analogs of Peano’s existence theorem and Kamke’s theorem on the uniqueness of the solution to the Cauchy problem are established, and a method for approximate solution of the Cauchy problem for the Pfaff equation is proposed.

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Authors and Affiliations

  1. Institute of Mathematics named after V. I. Romanovsky, Tashkent, Uzbekistan

    A. A. Abduganiev, A. A. Azamov & A. O. Begaliev

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  1. A. A. Abduganiev
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  2. A. A. Azamov
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  3. A. O. Begaliev
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Correspondence to A. A. Abduganiev.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 67, No. 4, Science — Technology — Education — Mathematics — Medicine, 2022.

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Abduganiev, A.A., Azamov, A.A. & Begaliev, A.O. Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients. J Math Sci 278, 385–394 (2024). https://doi.org/10.1007/s10958-024-06928-1

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