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On the convergence of the Rothe method in formulating bounded almost-periodic and periodic solutions of a boundary value problem of the parabolic type

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Abstract

A substantiation is given of the Rothe method with application to finding bounded almostperiodic and periodic (in the variable t) solutions of a quasilinear boundary value problem of the parabolic type without initial conditions.

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Authors and Affiliations

  1. Scientific-Research Institute of Applied Mathematics and Cybernetics, Gor'kii University, USSR

    A. P. Mal'tsev

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  1. A. P. Mal'tsev
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 15, No. 3, pp. 332–339, March, 1972.

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Mal'tsev, A.P. On the convergence of the Rothe method in formulating bounded almost-periodic and periodic solutions of a boundary value problem of the parabolic type. Radiophys Quantum Electron 15, 245–250 (1972). https://doi.org/10.1007/BF02210662

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  • DOI: https://doi.org/10.1007/BF02210662

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