Differential difference inequalities generated by infinite systems of parabolic functional differential equations

• Autorzy: Kozieł S.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the initial boundary value problem for infinite systems of parabolic functional differential equations. A comparison theorem concerning infinite systems of differential difference inequalities generated by the original problem is proved. The comparison result is used in an existence theorem and in investigating the stability of the numerical method of lines. A theorem on the error estimate of the metod is given.

Słowa kluczowe

EN

functional differential inequalities; initial boundary value problems; method of lines; nonlinear estimates of the Perron type

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 1
• Strony: 99--126
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Kozieł S.

• Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Wit Stwosz Street 57, 80-952 Gdańsk, Poland

Bibliografia

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