Exact solvability of certain linear ODEsExact solvability of certain linear ODEsM. Fečkan et al.

被引：0

作者：

Michal Fečkan ^{[1
]}

Július Pačuta ^{[2
]}

JinRong Wang ^{[1
]}

机构：

[1] Comenius University in Bratislava,Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics

[2] Slovak Academy of Sciences,Institute of Mathematics

[3] Guizhou University,Department of Mathematics

来源：

Monatshefte für Mathematik | 2025年 / 206卷 / 2期

关键词：

Linear differential equations; Exact solvability; Transformations; 34A05; 34A30; 34B05;

D O I：

10.1007/s00605-024-01992-w

中图分类号：

学科分类号：

摘要：

We study the existence of exact solutions either for linear systems of ODEs or for scalar second order linear differential equations with Dirichlet boundary value conditions.

引用

页码：305 / 316

页数：11

共 11 条

[1] Exact solvability of certain linear ODEs
Feckan, Michal
Pacuta, Julius
Wang, Jinrong
MONATSHEFTE FUR MATHEMATIK, 2025, 206 (02): : 305 - 316
[2] DENSITY BOUNDS FOR SOLVABILITY OF CERTAIN LINEAR EQUATIONS
LUCHT, L
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1976, 285 : 209 - 217
[3] ON THE SOLVABILITY OF CERTAIN SYSTEMS OF LINEAR DIFFERENCE-EQUATIONS
CAVARETTA, AS
DAHMEN, W
MICCHELLI, CA
SMITH, PW
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (06) : 833 - 841
[4] Nonnegative solvability of linear equations in certain ordered rings
Scowcroft, P
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (08) : 3535 - 3570
[5] Solvability of Certain Group of the Third-Order Linear Differential Operators
Chvalina, Jan
Chvalinova, Ludmila
Moucka, Jiri
XXX INTERNATIONAL COLLOQUIUM ON THE MANAGEMENT OF EDUCATIONAL PROCESS, PROCEEDINGS SCIENCE, 2012, : 69 - 78
[6] SOLVABILITY OF CERTAIN P-SOLVABLE LINEAR GROUPS OF FINITE ORDER
WINTER, DL
PACIFIC JOURNAL OF MATHEMATICS, 1970, 34 (03) : 827 - &
[7] THE SOLVABILITY AND MONOTONICAL PROPERTIES OF A CERTAIN CLASS OF DC NON-LINEAR NETWORKS
TADEUSIEWICZ, M
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1984, 12 (02) : 133 - 144
[8] ON THE LOCAL SOLVABILITY OF CERTAIN OVERDETERMINED SYSTEMS OF 1ST-ORDER LINEAR PDE
TREVES, F
JOURNAL D ANALYSE MATHEMATIQUE, 1992, 59 : 225 - 230
[9] On the solvability of certain spatially nonlocal boundary-value problems for linear hyperbolic equations of second order
A. I. Kozhanov
Mathematical Notes, 2011, 90
[10] On the solvability of certain boundary-value problems with the Bitsadze-Samarskii condition for linear hyperbolic equations
Kozhanov A.I.
Journal of Mathematical Sciences, 2011, 173 (2) : 207 - 220

← 1 2 →