WELL-POSEDNESS OF A NONLOCAL BOUNDARY VALUE DIFFERENCE ELLIPTIC PROBLEM

被引：2

作者：

Ashyralyev, Allaberen ^{[1
,2
,3
]}

Hamad, Ayman ^{[4
,5
]}

机构：

[1] Near East Univ, Dept Math, Mersin 10, Lefkosa, Turkey

[2] Peoples Friendship Univ Russia RUDN Univ, Ul Miklukho Maklaya 6, Moscow 117198, Russia

[3] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

[4] Near East Univ, Dept Math, Mersin 10, Nicosia, Turkey

[5] Omar Al Mukhtar Univ, Dept Math, El Beida, Libya

来源：

MATHEMATICAL MODELLING OF NATURAL PHENOMENA | 2019年 / 14卷 / 05期

关键词：

Well-posedness; coercive stability; positive operators; difference scheme; EQUATION; STABILITY;

D O I：

10.1051/mmnp/2019060

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The second order of approximation two-step difference scheme for the numerical solution of a nonlocal boundary value problem for the elliptic differential equation-v ''(t)+Av(t)=f(t)(0 <= t <= T),v(0)=v(T)+phi,integral 0Tv(s)ds=psi in an arbitrary Banach space E with the positive operator A is presented. The well-posedness of the difference scheme in Banach spaces is established. In applications, the stability, almost coercive stability and coercive stability estimates in maximum norm in one variable for the solutions of difference schemes for numerical solution of two type elliptic problems are obtained.

引用

页数：15

共 26 条

[1]

Ashyralyev A, 2004, OPER THEOR, V148, P1

[2] On well-posedness of the nonlocal boundary value problems for elliptic equations [J].

Ashyralyev, A .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (1-2) :1-15

[3]

Ashyralyev A., 1994, WELL POSEDNESS PARAB, V69

[4]

ASHYRALYEV A, 2004, DISCRETE DYN NA 0922, P273, DOI DOI 10.1155/S1026022604403033

[5] A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space [J].

Ashyralyev, Allaberen .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (01) :557-573

[6] A NOTE ON FRACTIONAL POWERS OF STRONGLY POSITIVE OPERATORS AND THEIR APPLICATIONS [J].

Ashyralyev, Allaberen ;

Hamad, Ayman .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (02) :302-325

[7] Numerical Solution of Nonlocal Elliptic Problems [J].

Ashyralyev, Allaberen ;

Hamad, Ayman .

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018), 2018, 1997

[8] On the Well-posedness of the Nonlocal Boundary Value Problem for the Differential Equation of Elliptic Type [J].

Ashyralyev, Allaberen ;

Hamad, Ayman .

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018), 2018, 1997

[9] Fractional Powers of Strongly Positive Operators and their Applications [J].

Ashyralyev, Allaberen ;

Hamad, Ayman .

INTERNATIONAL CONFERENCE FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS (FAIA2017), 2017, 1880

[10]

Ashyralyev A, 2015, TWMS J PURE APPL MAT, V6, P129

← 1 2 3 →