NON-LOCAL PROBLEM WITH NON-LINEAR CONDITIONS FOR A HYPERBOLIC EQUATION

被引：0

作者：

Dmitriev, V. B. ^{[1
]}

机构：

[1] Samara Municipal Management Inst, Dept Math Methods & Informat Technol, Phys & Math, 96 Stara Zagora St, Samara 443084, Russia

来源：

VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2009年 / 01期

关键词：

nonlocal problem; nonlinear conditions; hyperbolic equation; estimation; generalised solution;

D O I：

10.14498/vsgtu644

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Non-local problem with non-linear integral condition for the hyperbolic equation with random size space variables is studied. Existence of the unique generalized solution is proved.

引用

页码：26 / 32

页数：7

共 50 条

[1] Dynamics of electrorheological clutch and a problem for non-linear parabolic equation with non-local boundary conditions
Litvinov, W. G.
[J]. IMA JOURNAL OF APPLIED MATHEMATICS, 2008, 73 (04) : 619 - 640
[2] FORMULA FOR THE GRADIENT IN THE OPTIMAL CONTROL PROBLEM FOR THE NON-LINEAR SYSTEM OF THE HYPERBOLIC EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS
Guliyev, H. F.
Sharifov, Y. A.
[J]. TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2012, 3 (01): : 111 - 121
[3] On the decomposition method to the heat equation with non-linear and non-local boundary conditions
Hadizadeh, M
Maleknejad, K
[J]. KYBERNETES, 1998, 27 (4-5) : 426 - +
[4] Non-linear Schrodinger equation with non-local regional diffusion
Felmer, Patricio
Torres, Cesar
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (01) : 75 - 98
[5] Analytical Solution of One Non-Local Problem for Hyperbolic Equation
V. B. Vasilyev
N. V. Zaitseva
[J]. Lobachevskii Journal of Mathematics, 2023, 44 : 2970 - 2978
[6] Solution of the non-local problem for the hyperbolic equation in the closed form
Salikhov, R. N.
[J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2007, (01): : 15 - 19
[7] Non-local problem with fractional derivatives for one hyperbolic equation
Arlanova, E. Yu
[J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2007, (02): : 33 - 36
[8] Analytical Solution of One Non-Local Problem for Hyperbolic Equation
Vasilyev, V. B.
Zaitseva, N. V.
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (07) : 2970 - 2978
[9] Non-linear non-local Cosmology
Nunes, N. J.
Mulryne, D. J.
[J]. DARK SIDE OF THE UNIVERSE, 2009, 1115 : 329 - 334
[10] Non-linear Schrödinger equation with non-local regional diffusion
Patricio Felmer
César Torres
[J]. Calculus of Variations and Partial Differential Equations, 2015, 54 : 75 - 98

← 1 2 3 4 5 →