Coupled diffusion systems with functional arguments in unbounded domains |
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| Author |
Lviv Academic Gymnasium at the State University “Lviv Polytechnic”,Bandera St., 14, Lviv, 290013, Ukraine
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| Abstract |
This paper discusses existence and uniqueness theorem
for two problems:
(i) the initial boundary value problem
in unbounded domains for a parabolic system coupled with
the initial problem for a system of ordinary differential equations;
(ii) the Cauchy problem for such system of differential equations.
The system of equations contains the functionals on
continuous functions of space arguments.
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| Keywords |
existence and uniqueness theorem, initial boundary value problem, unbounded domains, parabolic system, ordinary differential equations, Cauchy problem
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| DOI |
doi:10.30970/ms.12.1.85-89
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Reference |
1. 3 Babak P.P. The first boundary value problem for coupled diffusion systems with functional arguments // Matematychni Studii – 1997 V. 7 № 2 p. 179–186
2. Ладыженская О.А., Солонников В.А., Уpальцева Н.Н. Линейные и квазилинейные уpавнения параболического типа ,addr M. , Наука – 1967 p. 736 3. Фридман А. Уравнения с частными производными параболического типа ,addr М. , Мир – 1968 p. 428 |
| Pages |
85-89
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| Volume |
12
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| Issue |
1
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| Year |
1999
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| Journal |
Matematychni Studii
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| Full text of paper | |
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