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

• Autorzy: Zabawa T.S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

stability of solutions; infinite systems; parabolic equations; elliptic equations; semilinear differential-functional equations; monotone iteration method

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 1
• Strony: 173--183
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Zabawa T.S.

• AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Kraków, Poland,

Bibliografia

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• [9] Zabawa T. S., Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type, Opuscula Math. 25 (2005), 333-343.