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A method of studying the convergence of an iterative process for nonlinear differential equations in partial derivatives

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Literature cited

  1. Yu. I. Kovach, “An application of theorems on differential equations to Gurse's problem for a linear system of differential equations with partial derivatives,” Differents. Uravn.,1, No. 3, 411–420 (1965).

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  2. Yu. I. Kovach, “A proof of existence theorems and the uniqueness of the solution of Cauchy's problem by the method of two-sided approximation for a generalized 2n-wave system,” Zh. Vychisl. Mat. Mat. Fiz.,5, No. 3, 551–557 (1965).

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  3. Yu. I. Kovach, An Iterative Method of Integrating Differential Equations in Partial Derivatives with Retarding Argument [in Russian], Chap. 1, Uzhgorod State Univ. (1974).

  4. Yu. I. Kovach, “Modification of accelerated convergence to the solutions of a linear differential equation in partial derivatives with deflecting argument,” Ukr. Mat. Zh.,26, No. 5, 590–602 (1974).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 2, pp. 165–175, March–April, 1978.

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Kovach, Y.I. A method of studying the convergence of an iterative process for nonlinear differential equations in partial derivatives. Ukr Math J 30, 125–132 (1978). https://doi.org/10.1007/BF01085630

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  • DOI: https://doi.org/10.1007/BF01085630

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