ON THE SMOOTHNESS CRITERION FOR A CLASSICAL SOLUTION TO AN INHOMOGENEOUS MODEL TELEGRAPH EQUATION IN THE FIRST QUARTER OF THE PLANE

Author:

LOMOVTSEV F.1

Affiliation:

1. Belarusian State University

Publisher

Polotsk State University

Reference13 articles.

1. Lomovtsev, F. E. (2022). Kriteriy gladkosti klassicheskogo resheniya neodnorodnogo model'nogo telegrafnogo uravneniya pri skorosti a(x,t) na poluosi [The Smoothness Criterion for the Classical Solution to Inhomogeneous Model Telegraph Equation at the Rate a(x,t) on the Half-Line]. In Trudy 10-go mezhdunarodnogo nauchnogo seminara AMADE-2021 [Proc. 10th International Workshop AMADE-2021] (43–53). Minsk: BSU, ITC of the Ministry of Finance. (In Russ.).

2. Lomovtsev, F. E. (2022). Kriterii gladkosti chastnogo klassicheskogo resheniya neodnorodnogo model'nogo telegrafnogo uravneniya v pervoi chetverti ploskosti [Smoothness Criterion for a Particular Classical Solution of an Inhomogeneous Model Telegraph Equation in the First Quarter of the Plane]. Vestnik Polotskogo gosudarstvennogo universiteta. Seriya C, Fundamental'nye nauki [Herald of Polotsk State University. Series С. Fundamental sciences], (11), 99–116. DOI: 10.52928/2070-1624-2022-39-11-99-116. (In Russ., abstr. in Engl.).

3. Lomovtsev, F. E. (2017). Metod korrektirovki probnogo resheniya obshchego volnovogo uravneniya v pervoi chetverti ploskosti dlya minimal'noi gladkosti ego pravoi chasti [Correction method of test solutions of the general wave equation in the first quarter of the plane for the minimum smoothness of its right-hand side]. Zhurnal Belorusskogo gosudarstvennogo universiteta. Matematika. Informatika [J. of the Belarusian State University. Mathematics and informatics], (3), 38–52. (In Russ., abstr. in Engl.).

4. Lomovtsev, F. E. (2021). V krivolineinoi pervoi chetverti ploskosti metod korrektirovki probnykh reshenii dlya minimal'noi gladkosti pravoi chasti volnovogo uravneniya s postoyannymi koeffitsientami [In the curvilinear first quarter of the plane the correction method of test solutions for the minimum smoothness of the right-hand side for the wave equation with constant coefficients]. Vesnik Vitsebskaga dzyarzhaunaga universiteta [J. of Vitebsk State University], 4(113), 5–22. (In Russ., abstr. in Engl.).

5. Lomovtsev, F. E. (2021). Pervaya smeshannaya zadacha dlya obshchego telegrafnogo uravneniya s peremennymi koeffitsientami na polupryamoi [The first mixed problem for the general telegraph equation with variable coefficients on the half-line]. Zhurnal Belorusskogo gosudarstvennogo universiteta. Matematika. Informatika [J. of the Belarusian State University. Mathematics and informatics], (1), 18–38. (In Russ., abstr. in Engl.).

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