Time-Periodic Problem for a Weakly Nonlinear Telegraph Equation with Directional Derivative in the Boundary Condition

Kharibegashvili S. S.; Dzhokhadze O. M.

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Time-Periodic Problem for a Weakly Nonlinear Telegraph Equation with Directional Derivative in the Boundary Condition

机译：边界条件下带方向导数的弱非线性电报方程的时间周期问题

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摘要

We study a time-periodic problem for the wave equation with a power-law non-linearity and with a directional derivative in the boundary condition. We study the existence, uniqueness, and absence of solutions of the problem.

机译：我们研究了在边界条件下具有幂律非线性和方向导数的波动方程的时间周期问题。我们研究问题的解决方案的存在，唯一性和不存在。

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《Differential equations: A translation of differensial'nye uraveniya》 |2015年第10期|共18页
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Kharibegashvili S. S.; Dzhokhadze O. M.;
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正文语种 eng
中图分类微分方程、积分方程;
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1. Time-Periodic Problem for a Weakly Nonlinear Telegraph Equation with Directional Derivative in the Boundary Condition [J] . Kharibegashvili S. S., Dzhokhadze O. M. Differential equations: A translation of differensial'nye uraveniya . 2015,第10期

机译：边界条件下带方向导数的弱非线性电报方程的时间周期问题
2. Time-periodic solutions to a nonlinear wave equation with periodic or anti-periodic boundary conditions [J] . Ji SG Proceedings of the Royal Society. Mathematical, physical and engineering sciences . 2009,第2103期

机译：具有周期或反周期边界条件的非线性波动方程的时间周期解
3. The focusing nonlinear Schrodinger equation on the quarter plane with time-periodic boundary condition: A Riemann-Hilbert approach [J] . De Monvel AB, Kotlyarov V Journal of the Institute of Mathematics of Jussieu: JIMJ . 2007,第4期

机译：四分之一平面上的聚焦非线性Schrodinger方程与时间周期边界条件：riemann-hilbert方法
4. A general boundary value problem for heat and mass transfer equations with high order normal derivatives in boundary conditions [C] . Ermek Khairullin, Aliya Azhibekova International Conference on Analysis and Applied Mathematics . 2021

机译：高阶正衍生物在边界条件下热和传质方程的一般边值问题
5. Eigenvalue Problems for Fully Nonlinear Elliptic Partial Differential Equations with Transport Boundary Conditions [D] . Lesniewski, Jacob. 2021

机译：具有运输边界条件的完全非线性椭圆局部微分方程的特征值问题
6. Infinitely Many Weak Solutions of the p-Laplacian Equation with Nonlinear Boundary Conditions [O] . Feng-Yun Lu, Gui-Qian Deng -1

机译：具有非线性边界条件的p-Laplacian方程的无穷弱解
7. GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR STRONGLY DAMPED WAVE EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS AND BALANCED POTENTIALS [O] . JOSEPH L. SHOMBERG 2019

机译：具有非线性边界条件和平衡势的强阻尼波方程弱解决方案的全局存在性
8. Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead Transmission Lines [R] . van Horssen, W. T. 1987

机译：弱非线性波动方程一类初边值问题的渐近理论及其在架空输电线路振动模型中的应用

Time-Periodic Problem for a Weakly Nonlinear Telegraph Equation with Directional Derivative in the Boundary Condition

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