A Note on the Stability of the Integral-Differential Equation of the Parabolic Type in a Banach Space

被引：12

作者：

Ashyraliyev, Maksat ^{[1
]}

机构：

[1] Bahcesehir Univ, Dept Math & Comp Sci, TR-34353 Istanbul, Turkey

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

BOUNDARY-VALUE-PROBLEMS; WELL-POSEDNESS; SCHEMES;

D O I：

10.1155/2012/178084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The integral-differential equation of the parabolic type in a Banach space is considered. The unique solvability of this equation is established. The stability estimates for the solution of this equation are obtained. The difference scheme approximately solving this equation is presented. The stability estimates for the solution of this difference scheme are obtained.

引用

页数：18

共 19 条

[1] Maximal regular boundary value problems in Banach-valued weighted space [J].

Agarwal, Ravi P. ;

Bohner, Martin ;

Shakhmurov, Veli B. .

BOUNDARY VALUE PROBLEMS, 2005, 2005 (01) :9-42

[2]

[Anonymous], 1919, ANN MATH

[3]

Ashirov S., 1987, IZVESTIYA VYSSHIKH U, V9, P3

[4]

Ashirov S., 1988, UKR MATH J, V40, P438

[5] A note on the stability of the integral-differential equation of the hyperbolic type in a Hilbert space [J].

Ashyraliyev, Maksat .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (7-8) :750-769

[6] WELL-POSED SOLVABILITY OF THE CAUCHY-PROBLEM FOR DIFFERENCE-EQUATIONS OF PARABOLIC TYPE [J].

ASHYRALYEV, A ;

SOBOLEVSKII, PE .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 24 (02) :257-264

[7] On well-posedness of difference schemes for abstract parabolic equations in Lp([o, T]; E) spaces [J].

Ashyralyev, A ;

Piskarev, S ;

Weis, L .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2002, 23 (7-8) :669-693

[8]

Ashyralyev A, 1994, OPERATOR THEORY ADV

[9] A Note on the Integral Inequalities with Two Dependent Limits [J].

Ashyralyev, Allaberen ;

Misirli, Emine ;

Mogol, Ozlem .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,

[10] Well-posedness of parabolic differential and difference equations [J].

Ashyralyev, Allaberen ;

Sozen, Yasar .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (03) :792-802

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