Mixed problems for the string vibration equation with homogeneous boundary conditions and inhomogeneous nonlocal conditions

被引：0

作者：

Kuleshov, A. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Wave Equation; Generalize Solution; Arbitrary Constant; Recursion Relation; Boundary Control;

D O I：

10.1134/S0012266110010106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider four mixed problems for the string vibration equation with homogeneous boundary and inhomogeneous nonlocal conditions of the first or second kind and with zero initial conditions. By using recursion relations, we find generalized solutions of the abovementioned problems.

引用

页码：101 / 107

页数：7

共 50 条

[1] Mixed problems for the string vibration equation with homogeneous boundary conditions and inhomogeneous nonlocal conditions
A. A. Kuleshov
[J]. Differential Equations, 2010, 46 : 101 - 107
[2] On four mixed problems for the string vibration equation with homogeneous nonlocal conditions
A. A. Kuleshov
[J]. Differential Equations, 2009, 45 : 828 - 835
[3] On four mixed problems for the string vibration equation with homogeneous nonlocal conditions
Kuleshov, A. A.
[J]. DIFFERENTIAL EQUATIONS, 2009, 45 (06) : 828 - 835
[4] 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.
[J]. DIFFERENTIAL EQUATIONS, 2014, 50 (11) : 1457 - 1465
[5] 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
[J]. Differential Equations, 2014, 50 : 1457 - 1465
[6] Mixed problems for the string vibration equation with nonlocal conditions of the general form at the right endpoint and with an inhomogeneous condition at the left endpoint
I. S. Mokrousov
[J]. Differential Equations, 2017, 53 : 509 - 515
[7] Mixed Problems for the String Vibration Equation with Nonlocal Conditions of the General Form at the Right Endpoint and with an Inhomogeneous Condition at the Left Endpoint
Mokrousov, I. S.
[J]. DIFFERENTIAL EQUATIONS, 2017, 53 (04) : 509 - 515
[8] Four mixed problems for the vibrating string equation with boundary and nonlocal Dirichlet and Neumann conditions
Kuleshov, A. A.
[J]. DOKLADY MATHEMATICS, 2009, 79 (03) : 362 - 364
[9] Four mixed problems for the vibrating string equation with boundary and nonlocal Dirichlet and Neumann conditions
A. A. Kuleshov
[J]. Doklady Mathematics, 2009, 79 : 362 - 364
[10] On Nonlocal Problems with Inhomogeneous Local Boundary Conditions
Aksoylu B.
Gazonas G.A.
[J]. Journal of Peridynamics and Nonlocal Modeling, 2020, 2 (1) : 1 - 25

← 1 2 3 4 5 →