On Abstract Third-Order Differential Equation and Its Applications

被引：2

作者：

Chaouchi, Belkacem ^{[1
]}

Benaissa, Lakhdar ^{[2
]}

Kostic, Marko ^{[3
]}

机构：

[1] Univ Khemis Miliana, Fac Sci & Technol, Dept Math, Khemis Miliana, Algeria

[2] Univ Algiers, Fac Sci, Dept Math, Algiers, Algeria

[3] Univ Novi Sad, Fac Tech Sci, Trg D Obradovica 6, Novi Sad 21125, Serbia

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2023年 / 39卷 / 03期

关键词：

Abstract third-order differential equation; cusp domain; strict solution; DIRICHLET PROBLEM;

D O I：

10.1007/s10114-023-1530-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider an abstract third-order differential equation and deduce some results on the maximal regularity of its strict solution. We assume that the inhomogeneity appearing in the right-hand term of this equation belongs to some anistropic Holder spaces. We illustrate our results by a BVP involving a 3D Laplacian posed in a cusp domain of Double-struck capital R-4.

引用

页码：399 / 411

页数：13

共 50 条

[1] On Abstract Third-Order Differential Equation and Its Applications
Belkacem CHAOUCHI
Lakhdar BENAISSA
Marko KOSTI?
ActaMathematicaSinica,EnglishSeries, 2023, (03) : 399 - 411
[2] On Abstract Third-Order Differential Equation and Its Applications
Belkacem Chaouchi
Lakhdar Benaissa
Marko Kostić
Acta Mathematica Sinica, English Series, 2023, 39 : 399 - 411
[3] Periodic solutions of an abstract third-order differential equation
Poblete, Veronica
Pozo, Juan C.
STUDIA MATHEMATICA, 2013, 215 (03) : 195 - 219
[4] The maximal regularity of the third-order differential equation and its applications
Ospanov, Kordan
Ospanov, Myrzagali
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (06) : 4895 - 4910
[5] On a Third-Order Partial Differential Equation
N. S. Berezkina
E. E. Kulesh
I. P. Martynov
V. A. Pron'ko
Differential Equations, 2005, 41 : 1436 - 1441
[6] On a third-order partial differential equation
Berezkina, NS
Kulesh, EE
Martynov, IP
Pron'ko, VA
DIFFERENTIAL EQUATIONS, 2005, 41 (10) : 1436 - 1441
[7] A Note on the Triple Laplace Transform and Its Applications to Some Kind of Third-Order Differential Equation
Atangana, Abdon
ABSTRACT AND APPLIED ANALYSIS, 2013,
[8] INTEGRATION OF NONLINEAR DIFFERENTIAL EQUATION OF THIRD-ORDER
GOFFARLO.J
BULLETIN DE LA CLASSE DES SCIENCES ACADEMIE ROYALE DE BELGIQUE, 1971, 57 (07): : 795 - &
[9] Constructing a third-order linear differential equation
Geiselman, W
Ulmer, F
THEORETICAL COMPUTER SCIENCE, 1997, 187 (1-2) : 3 - 6
[10] STABILITY OF A THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATION
ASNER, BA
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1964, AC 9 (04) : 586 - &

← 1 2 3 4 5 →