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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 4

An integral-boundary value problem for a partial differential equation of second order

Anar T. ASSANOVA
Sayfa
1967–1978
Yayın Tarihi
2022-11-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A coefficient criterion for the unique solvability of the integral-boundary value problem isestablished.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:An integral-boundary value problem for a hyperbolic partial differential equation in two independent variablesis considered.
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Temel Bulgular & Veri:By introducing additional functional parameters, we investigate the solvability of the problem and developan algorithm for finding its approximate solutions.
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Sonuç & Katkı:A coefficient criterion for the unique solvability of the integral-boundary value problem isestablished.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

An integral-boundary value problem for a hyperbolic partial differential equation in two independent variablesis considered. By introducing additional functional parameters, we investigate the solvability of the problem and developan algorithm for finding its approximate solutions. The problem is reduced to an equivalent one, consisting of theGoursat problem for a hyperbolic equation with parameters and boundary value problems with an integral conditionfor ODEs with respect to the parameters entered. We propose an algorithm to find an approximate solution to theoriginal problem, which is based on the algorithm for finding a solution to the equivalent problem. The convergenceof the algorithms is proved. A coefficient criterion for the unique solvability of the integral-boundary value problem isestablished.

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Bu Makaleye Atıf Yap

ASSANOVA, A. T. (2022). An integral-boundary value problem for a partial differential equation of second order. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1967–1978. https://ajindex.com/articles/607956

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