Uniqueness of generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions

被引：0

作者：

V. A. Il’in

机构：

[1] Moscow State University,

[2] Steklov Mathematical Institute,undefined

来源：

Differential Equations | 2008年 / 44卷

关键词：

Wave Equation; Generalize Solution; Terminal Condition; Similar Consideration; Mixed Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish uniqueness theorems for generalized solutions of mixed problems for the wave equation with nonlocal boundary conditions of four types and with initial or terminal conditions.

引用

页码：692 / 700

页数：8

共 50 条

[41] EXISTENCE AND UNIQUENESS OF MILD AND STRONG SOLUTIONS OF A SEMILINEAR EVOLUTION EQUATION WITH NONLOCAL CONDITIONS
BALACHANDRAN, K
ILAMARAN, S
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1994, 25 (04): : 411 - 418
[42] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Mardanov, M. J.
Sharifov, Ya. A.
Zeynally, F. M.
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2019, (60): : 61 - 72
[43] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Sharifov, Yagub A.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2012, 36 (44): : 125 - 134
[44] UNIQUENESS AND NONDEGENERACY OF SOLUTIONS FOR A CRITICAL NONLOCAL EQUATION
Du, Lele
Yang, Minbo
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (10) : 5847 - 5866
[45] ON OBTAINING SOLUTIONS TO THE NONHOMOGENEOUS WAVE EQUATION WHICH SATISFY BOUNDARY CONDITIONS OF MIXED TYPE
CLARKSON, MH
ETTLINGER, HJ
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 59 (04) : 346 - 346
[46] Mixed problems for the string vibration equation with homogeneous boundary conditions and nonhomogeneous nonlocal conditions posed on a finite set of points
D. A. Stefonishin
Differential Equations, 2014, 50 : 1457 - 1465
[47] Mixed problems for the string vibration equation with homogeneous boundary conditions and nonhomogeneous nonlocal conditions posed on a finite set of points
Stefonishin, D. A.
DIFFERENTIAL EQUATIONS, 2014, 50 (11) : 1457 - 1465
[48] Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for nth order differential equations
Eloe, Paul W.
Henderson, Johnny
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (01) : 240 - 247
[49] On Uniqueness Theorems for Nonlocal Boundary Value Problems for the Lavrent’ev-Bitsadze Equation
T. E. Moiseev
Differential Equations, 2005, 41 : 749 - 751
[50] UNIQUENESS OF SOLUTIONS TO BOUNDARY-VALUE PROBLEMS FOR THE BIHARMONIC EQUATION IN A BALL
Karachik, Valery V.
Sadybekov, Makhmud A.
Torebek, Berikbol T.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,

← 1 2 3 4 5 →