A Generalized Green Operator for a Linear Noetherian Differential-Algebraic Boundary Value Problem

被引:0
|
作者
Chuĭko S.M. [1 ]
机构
[1] Donbass State Pedagogical University, Slavyansk
关键词
Cauchy problem; differential-algebraic boundary value problem; generalized Green operator; solvability conditions;
D O I
10.3103/S1055134420030037
中图分类号
学科分类号
摘要
Abstract: We find solvability conditions and describe the construction of a generalized Greenoperator for the Cauchy problem. For a linear Noetherian differential-algebraic boundary valueproblem, we describe the construction of a generalized Green operator, find existence conditionsfor equilibrium states, and describe their construction. © 2020, Allerton Press, Inc.
引用
收藏
页码:177 / 191
页数:14
相关论文
共 50 条
  • [41] Nonlinear boundary-value problems for degenerate differential-algebraic systems
    Chuiko S.M.
    Nesmelova O.V.
    Journal of Mathematical Sciences, 2021, 252 (4) : 463 - 471
  • [42] A generalized matrix differential-algebraic equation
    Chuiko S.M.
    Journal of Mathematical Sciences, 2015, 210 (1) : 9 - 21
  • [43] THE CONDITIONING OF BOUNDARY-VALUE-PROBLEMS IN TRANSFERABLE DIFFERENTIAL-ALGEBRAIC EQUATIONS
    LENTINI, M
    MARZ, R
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (04) : 1001 - 1015
  • [44] A NUMERICAL APPROXIMATION OF BOUNDARY-VALUE-PROBLEMS OF DIFFERENTIAL-ALGEBRAIC EQUATIONS
    BAI, Y
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1991, 71 (06): : T786 - T789
  • [45] ON LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS AND LINEARIZATIONS
    MARZ, R
    APPLIED NUMERICAL MATHEMATICS, 1995, 18 (1-3) : 267 - 292
  • [46] Stability of Linear Differential-Algebraic Systems
    A. A. Shcheglova
    V. F. Chistyakov
    Differential Equations, 2004, 40 : 50 - 62
  • [47] Differential-Algebraic Approach to Linear Programming
    M. Xiong
    J. Wang
    P. Wang
    Journal of Optimization Theory and Applications, 2002, 114 : 443 - 470
  • [48] Stability of linear differential-algebraic systems
    Shcheglova, AA
    Chistyakov, VF
    DIFFERENTIAL EQUATIONS, 2004, 40 (01) : 50 - 62
  • [49] The regularization of linear differential-algebraic equations
    Kalachev, LV
    OMalley, RE
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (01) : 258 - 273
  • [50] Detonation problem posed as a differential/algebraic boundary value problem
    Braithwaite, M.
    Farran, T.
    Gladwell, I.
    Lynch, P.M.
    Minchinton, A.
    Parker, I.B.
    Thomas, R.M.
    Mathematical Engineering in Industry, 1990, 3 (01) : 45 - 57