Mixed Problem with an Integral Condition for the One-Dimensional Biwave Equation

被引：0

作者：

Korzyuk, V. I. ^{[1
,2
]}

Vinh, N. V. ^{[2
,3
]}

机构：

[1] Natl Acad Sci Belarus, Inst Math, Minsk 220072, BELARUS

[2] Belarusian State Univ, Minsk 220030, BELARUS

[3] Hue Univ, Univ Educ, Hue City, Vietnam

来源：

DIFFERENTIAL EQUATIONS | 2018年 / 54卷 / 06期

关键词：

CLASSICAL SOLUTION; NONLOCAL PROBLEM; CAUCHY-PROBLEM;

D O I：

10.1134/S0012266118060083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a mixed problem for the one-dimensional biwave equation with boundary conditions and a nonlocal integral condition. We prove the existence and uniqueness of the classical solution of the problem and obtain an analytic representation of the solution.

引用

页码：799 / 810

页数：12

共 50 条

[1] Mixed Problem with an Integral Condition for the One-Dimensional Biwave Equation
V. I. Korzyuk
N. V. Vinh
[J]. Differential Equations, 2018, 54 : 799 - 810
[2] Classical solution of a problem with an integral condition for the one-dimensional wave equation
E. I. Moiseev
V. I. Korzyuk
I. S. Kozlovskaya
[J]. Differential Equations, 2014, 50 : 1364 - 1377
[3] Classical solution of a problem with an integral condition for the one-dimensional wave equation
Moiseev, E. I.
Korzyuk, V. I.
Kozlovskaya, I. S.
[J]. DIFFERENTIAL EQUATIONS, 2014, 50 (10) : 1364 - 1377
[4] A PROBLEM WITH NONLOCAL INTEGRAL CONDITION OF THE SECOND KIND FOR ONE-DIMENSIONAL HYPERBOLIC EQUATION
Pulkina, L. S.
Savenkova, A. E.
[J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2016, 20 (02): : 276 - 289
[5] Numerical solution of the one-dimensional wave equation with an integral condition
Saadatmandi, Abbas
Dehghan, Mehdi
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2007, 23 (02) : 282 - 292
[6] Mixed Problem with Dynamical Boundary Condition for a One-Dimensional Wave Equation with Strong Dissipation
Aliev, A. B.
Shafieva, G. Kh
[J]. MATHEMATICAL NOTES, 2020, 107 (3-4) : 518 - 521
[7] Solvability of a Mixed Problem with Nonlinear Boundary Condition for a One-Dimensional Semilinear Wave Equation
S. S. Kharibegashvili
O. M. Jokhadze
[J]. Mathematical Notes, 2020, 108 : 123 - 136
[8] On the Solvability of a Mixed Problem for an One-dimensional Semilinear Wave Equation with a Nonlinear Boundary Condition
S. S. Kharibegashvili
N. N. Shavlakadze
O. M. Jokhadze
[J]. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018, 53 : 247 - 259
[9] On the Solvability of a Mixed Problem for an One-dimensional Semilinear Wave Equation with a Nonlinear Boundary Condition
Kharibegashvili, S. S.
Shavlakadze, N. N.
Jokhadze, O. M.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2018, 53 (05): : 247 - 259
[10] Solvability of a Mixed Problem with Nonlinear Boundary Condition for a One-Dimensional Semilinear Wave Equation
Kharibegashvili, S. S.
Jokhadze, O. M.
[J]. MATHEMATICAL NOTES, 2020, 108 (1-2) : 123 - 136

← 1 2 3 4 5 →