Temat: iteration method - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Monotone iteration for infinite systems of parabolic equations
Autorzy:: Pudełko, A.
Tematy:: infinite systems
parabolic equations
Cauchy problem
monotone iteration method
differentail inequality; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255193.pdf Link otwiera się w nowym oknie
Opis:: In the paper the Cauchy problem for and infinite system of parabolic type equations is studied. The general operators of the parabolic type of second order with variable coefficients are considered and the system is weakly coupled. Among the obtained results there is a theorem on differential inequality as well as the existence and uniqueness theorem in the class of continuous-bounded functions obtained by monotone iterative method.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Stability of solutions of infinite systems of nonlinear differential-functional equations of parabolic type
Autorzy:: Zabawa, T.S.
Tematy:: stability of solutions
infinite systems
parabolic equations
elliptic equations
semilinear differential-functional equations
monotone iteration method; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/254967.pdf Link otwiera się w nowym oknie
Opis:: 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.
Dostawca treści:: Biblioteka Nauki

Artykuł

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