Stability of solutions of infinite systems of nonlinear differential-functional equations of parabolic type

Szczegóły
Opis

Tytuł:: Stability of solutions of infinite systems of nonlinear differential-functional equations of parabolic type
Autorzy:: Zabawa, T.S.
Powiązania:: https://bibliotekanauki.pl/articles/254967.pdf
Data publikacji:: 2006
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: stability of solutions
infinite systems
parabolic equations
elliptic equations
semilinear differential-functional equations
monotone iteration method
Źródło:: Opuscula Mathematica; 2006, 26, 1; 173-183
1232-9274
2300-6919
Język:: angielski
Prawa:: CC BY: Creative Commons Uznanie autorstwa 3.0 PL
Dostawca treści:: Biblioteka Nauki
: Artykuł

Przejdź do źródła

A parabolic initial boundary value problem and an associated elliptic Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations are considered. It is shown that the solutions of the parabolic problem is asymptotically stable and the limit of the solution of the parabolic problem as t → ∞ is the solution of the associated elliptic problem. The result is based on the monotone methods.

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