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932 4 |
Ultima descărcare din IBN: 2022-05-09 12:22 |
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517.956.4 (2) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (243) |
SM ISO690:2012 DANYLIUK, I., DANYLIUK, A.. The Cauchy problem for a parabolic system of integro-differential equations with an operator of Volterra-Fredholm type. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2019, nr. 2(8), pp. 29-42. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v8i2.29-42 |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Acta et commentationes (Ştiinţe Exacte și ale Naturii) | ||||||
Numărul 2(8) / 2019 / ISSN 2537-6284 /ISSNe 2587-3644 | ||||||
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DOI:https://doi.org/10.36120/2587-3644.v8i2.29-42 | ||||||
CZU: 517.956.4 | ||||||
Pag. 29-42 | ||||||
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Rezumat | ||||||
The Cauchy problem for a parabolic system of integro-dierential equations with an operator of Volterra-Fredholm type is considered. A fundamental matrix of solutions of the problem in classical Holder spaces is constructed, the estimates for the matrix and its derivatives are established. This makes it possible to prove the correctness theorem. |
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Cuvinte-cheie parabolic system of integro-dierential equations, Volterra-Fredholm operator, fundamental matrix of solutions, method of reduction to a system of integral equations, kernels of the integral operator, resolvent, conditions for correct solvability, sistem parabolic de ecuatii integro diferentiale, operator Volterra-Fredholm, matricea fundamentala a solutiilor, metoda de reducere la un sistem de ecuatii integrale, nuclee ale operatorului integral, rezolvent, conditii pentru solvabilitate corecta. |
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