Differential difference inequalities related to parabolic functional differential equations

• Autorzy: Netka M.
• Języki publikacji: PL

Abstrakty

EN

Initial boundary value problems for nonlinear parabolic functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations. A comparison theorem for differential difference inequalities is proved. Sufficient conditions for the convergence of the method of lines is given. Nonlinear estimates of the Perron type for given operators with respect to functional variables are used. Results obtained in the paper can be applied to differential integral problems and to equations with deviated variables.

Słowa kluczowe

EN

parabolic functional differential equations; method of lines; stability and convergence

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2010
• Tom: Vol. 30, no. 1
• Strony: 95--115
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Netka M.

• University of Gdańsk Institute of Mathematics ul. Wita Stwosza 57, 80-952 Gdańsk, Poland,

Bibliografia

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