Initial–Boundary Value Problem for Perturbed Third Order Partial Differential Equations

被引：0

作者：

Uskov V.I. ^{[1
]}

机构：

[1] Voronezh State University of Forestry and Technologies, 8, Timiryazeva St., Voronezh

来源：

Journal of Mathematical Sciences | 2021年 / 255卷 / 6期

关键词：

D O I：

10.1007/s10958-021-05415-1

中图分类号：

学科分类号：

摘要：

We consider an initial-boundary value problem for a partial differential equation with mixed third derivative and small parameter. We establish the existence and uniqueness of a solution to the limit problem. The solution is found in an analytic form. We study the behavior of the solution to the prelimit problem for small parameter. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：779 / 789

页数：10

共 50 条

[31] Solvability of boundary value problem at resonance for third-order functional differential equations
Yang, Pinghua
Du, Zengji
Ge, Weigao
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2008, 118 (02): : 307 - 318
[32] Numerical treatment of an initial-boundary value problem for fractional partial differential equations
Ciesielski, Mariusz
Leszczynski, Jacek
SIGNAL PROCESSING, 2006, 86 (10) : 2619 - 2631
[33] On the existence of solutions for singular boundary value problem of third-order differential equations
Wang, Feng
Cui, Yujun
MATHEMATICA SLOVACA, 2010, 60 (04) : 485 - 494
[34] ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A CLASS OF OPERATOR-DIFFERENTIAL EQUATIONS OF THIRD ORDER
Babayeva, Sevindj F.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2013, 38 (46): : 17 - 24
[35] THIRD-ORDER NONLINEAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM
王国灿
金丽
AppliedMathematicsandMechanics(EnglishEdition), 2002, (06) : 670 - 677
[36] Third-order nonlinear singularly perturbed boundary value problem
Wang, GC
Jin, L
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2002, 23 (06) : 670 - 677
[37] AN INITIAL-BOUNDARY VALUE PROBLEM FOR A HIGHER-ORDER PARTIAL DIFFERENTIAL EQUATION
Assanova, A. T.
Abildayeva, A. D.
Sabalakhova, A. P.
NEWS OF THE NATIONAL ACADEMY OF SCIENCES OF THE REPUBLIC OF KAZAKHSTAN-SERIES PHYSICO-MATHEMATICAL, 2020, 2 (330): : 133 - 141
[38] Third-order nonlinear singularly perturbed boundary value problem
Wang Guo-can
Jin Li
Applied Mathematics and Mechanics, 2002, 23 (6) : 670 - 677
[39] On a third order initial boundary value problem in a plane domain
Kloviene, Neringa
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2012, 17 (03): : 312 - 326
[40] On a boundary value problem for a class of second-order complex partial differential equations
Aksoy, Umit
Celebi, Ahmet Okay
BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS, 2023, 11 (01):

← 1 2 3 4 5 →