POISSON FORMULAS FOR BOUNDARY VALUE PROBLEMS FOR THE EULER-POISSON-DARBOUX EQUATION

L. N. Lyakhov; K. S. Yeletskikh; E. L. Sanina

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POISSON FORMULAS FOR BOUNDARY VALUE PROBLEMS FOR THE EULER-POISSON-DARBOUX EQUATION

机译：EULER-POISSON-DARBOUX方程的边值问题的Poisson公式

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We consider the Cauchy problem for the Euler-Poisson-Darboux equation with boundary conditions. The Bessel operators in the equation can have different parameters. We establish a representation of the solution in the form of the Poisson formula with a special shift generated by the product of cylindrical functions of the first kind and different orders. Bibliography: 5 titles.

机译：我们考虑带边界条件的Euler-Poisson-Darboux方程的Cauchy问题。方程中的贝塞尔算子可以具有不同的参数。我们以泊松公式的形式建立解决方案的表示形式，并由第一类圆柱函数和不同阶次的乘积产生的特殊位移引起。参考书目：5个标题。

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《Journal of Mathematical Sciences》 |2019年第3期|329-338|共10页
作者
L. N. Lyakhov; K. S. Yeletskikh; E. L. Sanina;
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作者单位

Voronezh State University 1, Universitetskaya pl., Voronezh 394006, Russia;

Bunin Yelets State University 28, Kommunarov St., Yelets 399770, Russia;

Voronezh State University 1, Universitetskaya pi., Voronezh 394006, Russia;

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专利

1. Cauchy problems with the modified conditions for the Euler-Poisson-Darboux equations [Problèmes de Cauchy avec des conditions modifiées pour les équations d'Euler-Poisson-Darboux] [J] . El-hafedh C.O.M., Ould Moustapha M.V. Comptes rendus. Mathematique . 2011,第23a24期

机译：Euler-Poisson-Darboux方程的修正条件的柯西问题[Euler-Poisson-Darboux方程的修正条件的柯西问题]
2. Blow-up of solutions of semilinear Euler-Poisson-Darboux equations with nonlocal boundary conditions [J] . Chan C.Y., Zhu J.K. Applied mathematics and computation . 1999,第1期

机译：具有非局部边界条件的半线性Euler-Poisson-Darboux方程解的爆破
3. An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler-Poisson-Darboux Equation [J] . Glushak A. V. Mathematical notes . 2019,第5a6期

机译：抽象Euler-Poisson-Darboux方程的Cauchy问题解的平移的算子公式
4. Meshfree Finite Differences for Vector Poisson and Pressure Poisson Equations with Electric Boundary Conditions [C] . Dong Zhou, Benjamin Seibold, David Shirokoff, International workshop on meshfree methods for partial differential equations . 2015

机译：带电边界条件的矢量泊松和压力泊松方程的无网格有限差分
5. Laplace's equation, the nonlinear Poisson equation and the effects of Gaussian white noise on the boundary. [D] . Khader, Karim. 2010

机译：拉普拉斯方程，非线性泊松方程以及高斯白噪声对边界的影响。
6. Accurate Solution of Multi-Region Continuum Biomolecule Electrostatic Problems Using the Linearized Poisson-Boltzmann Equation with Curved Boundary Elements [O] . Michael D. Altman, Jaydeep P. Bardhan, Jacob K. White, -1

机译：使用带有弯曲边界元的线性化Poisson-Boltzmann方程精确求解多区域连续生物分子静电问题
7. Method of upper and lower solutions and interval method for semilinear Euler-Poisson-Darboux equations [O] . Chan C.Y, Vatsala A.S 1990

机译：半线性Euler-Poisson-Darboux方程的上下解方法和区间方法

POISSON FORMULAS FOR BOUNDARY VALUE PROBLEMS FOR THE EULER-POISSON-DARBOUX EQUATION

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