On a Solvability to the Problem with Parameter for Differential-Algebraic Equations

被引:0
作者
Assanova, A. T. [1 ]
机构
[1] Inst Math & Math Modeling, Dept Differential Equat 2, A26G7T4, Alma Ata 050010, Kazakhstan
关键词
problem with parameter; differential-algebraic equations; Weierstrass canonical form; solvability; BOUNDARY-VALUE-PROBLEM; INTEGRODIFFERENTIAL EQUATION; UNIQUE SOLVABILITY; CANONICAL FORM; WELL-POSEDNESS; SYSTEMS; CRITERIA; ALGORITHM;
D O I
10.1134/S1995080224600274
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A problem of solvability with parameter for a differential-algebraic equation is considered. For solving the problem is applied Weierstrass canonical form. Problem is reduced to an initial value problem with parameter for differential equations. Conditions for the existence and uniqueness of the problem with parameter for differential-algebraic equations are established.
引用
收藏
页码:604 / 612
页数:9
相关论文
共 37 条
[1]   A MULTI-POINT PROBLEM FOR A SYSTEM OF DIFFERENTIAL EQUATIONS WITH PIECEWISE-CONSTANT ARGUMENT OF GENERALIZED TYPE AS A NEURAL NETWORK MODEL [J].
Abildayeva, Aziza ;
Assanova, Anar T. ;
Imanchiyev, Askarbek .
EURASIAN MATHEMATICAL JOURNAL, 2022, 13 (02) :8-17
[2]   On the numerical algorithms of parametrization method for solving a two-point boundary-value problem for impulsive systems of loaded differential equations [J].
Assanova, A. T. ;
Kadirbayeva, Zh. M. .
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (04) :4966-4976
[3]   Numerical Solution of Systems of Loaded Ordinary Differential Equations with Multipoint Conditions [J].
Assanova, A. T. ;
Imanchiyev, A. E. ;
Kadirbayeva, Zh. M. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (04) :508-516
[4]   An integral-boundary value problem for a partial differential equation of second order [J].
Assanova, Anar T. .
TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (04) :1967-1978
[5]  
Assanova AT, 2018, ELECTRON J DIFFER EQ
[6]   Well-posedness of nonlocal boundary value problems with integral condition for the system of hyperbolic equations [J].
Assanova, Anar T. ;
Dzhumabaev, Dulat S. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 402 (01) :167-178
[7]   A Problem with Parameter for the Integro-Differential Equations [J].
Bakirova, Elmira A. ;
Assanova, Anar T. ;
Kadirbayeva, Zhazira M. .
MATHEMATICAL MODELLING AND ANALYSIS, 2021, 26 (01) :34-54
[8]   Linear relations and the Kronecker canonical form [J].
Berger, Thomas ;
Trunk, Carsten ;
Winkler, Henrik .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 488 :13-44
[9]  
Berger T, 2013, Q APPL MATH, V71, P69
[10]   Zero dynamics and funnel control of linear differential-algebraic systems [J].
Berger, Thomas ;
Ilchmann, Achim ;
Reis, Timo .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2012, 24 (03) :219-263