Existence of the global solutions of the Cauchy problem for a system of semilinear pseudohyperbolic equations with structural dissipation

Aliev Akbar B.; Pashaev A. F.

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Existence of the global solutions of the Cauchy problem for a system of semilinear pseudohyperbolic equations with structural dissipation

机译：具有结构耗散的半线性拟双曲型方程组Cauchy问题整体解的存在性。

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The goal in the present paper is to find sufficient conditions on ρ_(k1), ρ_(k2), k = 1,2, ensuring the existence of global solutions with respect to t. In the case α_1 = α_2 = 0. the given problem was studied in a more general form in [ 1 ], [2].

机译：本文的目标是找到关于ρ_（k1），ρ_（k2），k = 1,2的充分条件，以确保存在关于t的全局解。在α_1=α_2= 0的情况下，在[1]，[2]中以更一般的形式研究了给定的问题。

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《Mathematical notes》 |2017年第6期|1050-1052|共3页
作者
Aliev Akbar B.; Pashaev A. F.;
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作者单位

Azerbaijan Technical University, Baku, Azerbaijan,Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan;

Azerbaijan Technical University, Baku, Azerbaijan,Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan;

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正文语种 eng
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关键词
global solvability; pseudohyperbolic equation; structural dissipation;

机译：全球溶解度伪双曲方程结构耗散;

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1. Existence and nonexistence of global solutions of the cauchy problem for semilinear hyperbolic equations with dissipation and with anisotropic elliptic part [J] . A B Aliev F V Mamedov Differential Equations . 2010,第3期

机译：具有耗散和各向异性椭圆部分的半线性双曲型方程柯西问题整体解的存在与不存在。
2. Existence and nonexistence of global solutions of the cauchy problem for semilinear hyperbolic equations with dissipation and with anisotropic elliptic part [J] . Aliev A.B., Mamedov F.V. Differential equations: A translation of differensial'nye uraveniya . 2010,第3期

机译：具有耗散和各向异性椭圆部分的半线性双曲型方程柯西问题整体解的存在与不存在。
3. Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms [J] . Aliev A.B., Kazimov A.A. Nonlinear Analysis: An International Multidisciplinary Journal . 2012,第1期

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4. The existence of global weak solution for a quasilinear hyperbolic equations with dissipation [C] . Chen Song-lin, Hou Wei-geng International conference on nonlinear mechanics . 1998

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Existence of the global solutions of the Cauchy problem for a system of semilinear pseudohyperbolic equations with structural dissipation

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