Solvability of Some Boundary-Value Problems for Polyharmonic Equation with Hadamard-Marchaud Boundary Operator

A. E. Bekaeva; V. V. Karachik; B. Kh. Turmetov

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Solvability of Some Boundary-Value Problems for Polyharmonic Equation with Hadamard-Marchaud Boundary Operator

机译：具有Hadamard-Marchaud边界算子的多调和方程某些边值问题的可解性

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摘要

We investigate solvability conditions for certain non-classical boundary-value problems for the polyharmonic equation. As the boundary operators we consider fractional differential operators in the sense of Hadamard-Marchaud. The considered problems generalize well-known Dirichlet and von Neumann boundary-value problems for boundary operators of fractional type.

机译：我们研究了某些某些非经典的调和方程的边值问题的可解条件。作为边界算子，我们从Hadamard-Marchaud的角度考虑分数阶微分算子。所考虑的问题针对分数型边界算子推广了众所周知的Dirichlet和von Neumann边值问题。

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《Russian mathematics》 |2014年第7期|共14页
作者
A. E. Bekaeva; V. V. Karachik; B. Kh. Turmetov;
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正文语种 eng
中图分类数学;
关键词
polyharmonic equation; fractional differential operators; Hadamard-Marchaud operators; Dirichlet and Neumann boundary-value problems.;

机译：多调和方程;分数阶微分算子;Hadamard-Marchaud算子;Dirichlet和Neumann边值问题。;

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专利

1. Solvability of Some Boundary-Value Problems for Polyharmonic Equation with Hadamard-Marchaud Boundary Operator [J] . A. E. Bekaeva, V. V. Karachik, B. Kh. Turmetov Russian mathematics . 2014,第7期

机译：具有Hadamard-Marchaud边界算子的多调和方程某些边值问题的可解性
2. On the Solvability of the Boundary-Value Problem for Second-Order Equations in Hilbert Space with an Operator Coefficient in the Boundary Condition [J] . S. S. Mirzoev, M. Yu. Salimov Mathematical notes . 2012,第5a6期

机译：具有边界条件算子系数的希尔伯特空间中二阶方程边值问题的可解性
3. SOLVABILITY OF THE BOUNDARY-VALUE PROBLEM FOR THE SECOND-ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION WITH SPECTRAL PARAMETER IN THE EQUATION AND BOUNDARY CONDITIONS [J] . Aliev BA Ukrainian mathematical journal . 2010,第1期

机译：方程和边界条件下带有谱参数的二阶椭圆型微分-算子方程的边值问题的可解性
4. Solvability of a Boundary-Value Problem for Even-Order Mixed-Type Equations [C] . Viktor G. Markov International Conference on Mathematical Modeling . 2017

机译：用于偶令混合型方程的边值问题的可解性
5. On the Riemann-Hilbert Approach to the Numerical Solution of Boundary-Value Problems for Evolution Partial Differential Equations [D] . Yang, Xin. 2021

机译：关于riemann-hilbert对演化部分微分方程的边值问题数值解的方法
6. Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [O] . Felix E. Browder 1953

机译：任意阶线性抛物线方程椭圆方程的一般边值问题
7. On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator [O] . Batirkhan Khudaibergenovich Turmetov 2016

机译：关于与分数阶边界算子的非均匀多发性方程的边值问题的可解性

Solvability of Some Boundary-Value Problems for Polyharmonic Equation with Hadamard-Marchaud Boundary Operator

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