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

来源：

Siberian Advances in Mathematics | 2020年 / 30卷 / 3期

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

页码：177 / 191

页数：14

共 50 条

[21] A MODIFIED LOBATTO COLLOCATION FOR LINEAR BOUNDARY-VALUE-PROBLEMS OF DIFFERENTIAL-ALGEBRAIC EQUATIONS
BAI, Y
COMPUTING, 1992, 49 (02) : 139 - 150
[22] A method for solving boundary value problems and spectral problems for linear differential-algebraic systems
A. A. Abramov
V. I. Ul’yanova
L. F. Yukhno
Differential Equations, 2006, 42 : 932 - 940
[23] A method for solving boundary value problems and spectral problems for linear differential-algebraic systems
Abramov, A. A.
Ul'yanova, V. I.
Yukhno, L. F.
DIFFERENTIAL EQUATIONS, 2006, 42 (07) : 932 - 940
[24] Asymptotic solutions of boundary value problem for singularly perturbed system of differential-algebraic equations
Samusenko, P. F.
Vira, M. B.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2022, 14 (01) : 49 - 60
[25] ON NOETHERIAN INDEX OF DIFFERENTIAL-ALGEBRAIC SYSTEMS .1.
CHISTYAKOV, VF
SIBERIAN MATHEMATICAL JOURNAL, 1993, 34 (03) : 583 - 592
[26] Generalized boundary value problem for a linear ordinary differential equation with a discretely distributed fractional differentiation operator
Gadzova, L. Kh
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022, 106 (02): : 108 - 116
[27] FACTORIZATION OF A LINEAR BOUNDARY-VALUE PROBLEM AND THE MONOTONICITY OF GREEN OPERATOR
DOMOSHNITSKII, AI
DIFFERENTIAL EQUATIONS, 1992, 28 (03) : 323 - 327
[28] BOUNDARY-VALUE METHODS FOR THE SOLUTION OF DIFFERENTIAL-ALGEBRAIC EQUATIONS
AMODIO, P
MAZZIA, F
NUMERISCHE MATHEMATIK, 1994, 66 (04) : 411 - 421
[29] COLLOCATION SOFTWARE FOR BOUNDARY-VALUE DIFFERENTIAL-ALGEBRAIC EQUATIONS
ASCHER, UM
SPITERI, RJ
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1994, 15 (04): : 938 - 952
[30] Differential-Algebraic Boundary-Value Problems with Impulsive Action
Chuiko S.M.
Nesmelova O.V.
Shevtsova K.S.
Journal of Mathematical Sciences, 2023, 273 (2) : 316 - 331

← 1 2 3 4 5 →