Approximation of abstract linear integrodifferential equations

• Autorzy: Hirokazu Oka , Naoki Tanaka
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the approximation of abstract linear integrodifferential equations by finite difference equations. The result obtained here is applied to the problem of convergence of the backward Euler type discrete scheme.

Słowa kluczowe

EN

approximation of integrodifferential equation; approximation of; Banach space; resolvent operator; semigroup of class $(C_0)$

Kategorie tematyczne

• 45N05: Abstract integral equations, integral equations in abstract spaces
• 45L05: Theoretical approximation of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 140
• Numer: 1
• Strony: 1-14

Daty

wydano

2000

otrzymano

1998-03-02

poprawiono

1998-09-20

poprawiono

1999-12-30

Twórcy

autor

Hirokazu Oka

• Faculty of Engineering, Ibaraki University, Hitachi 316, Japan

autor

Naoki Tanaka

• Department of Mathematics, Faculty of Science, Okayama University, Okayama 700, Japan

Bibliografia

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