SOLVABILITY OF THE BOUNDARY-VALUE PROBLEM FOR THE SECOND-ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION WITH SPECTRAL PARAMETER IN THE EQUATION AND BOUNDARY CONDITIONS

Aliev BA

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SOLVABILITY OF THE BOUNDARY-VALUE PROBLEM FOR THE SECOND-ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION WITH SPECTRAL PARAMETER IN THE EQUATION AND BOUNDARY CONDITIONS

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

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摘要

We study the solvability of a boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter both in the equation and in boundary conditions. We also analyze the asymptotic behavior of the eigenvalues corresponding to the uniform boundary-value problem.

机译：我们研究了在方程和边界条件下具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。我们还分析了对应于统一边值问题的特征值的渐近行为。

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《Ukrainian mathematical journal》 |2010年第1期|共14页
作者
Aliev BA;
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正文语种 eng
中图分类数学;
关键词
SOLVABILITY; BOUNDARY-VALUE; BOUNDARY-VALUE;

机译：可溶性;边界值;边界值;

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专利

1. 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
2. Solvability of Boundary Value Problems for Second-Order Elliptic Differential-Operator Equations with a Spectral Parameter and with a Discontinuous Coefficient at the Highest Derivative [J] . B. A. Aliev, Ya. Yakubov Differential equations: A translation of differensial'nye uraveniya . 2014,第4期

机译：具有最高导数的谱参数和不连续系数的二阶椭圆型微分-算子方程的边值问题的可解性
3. Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential-Operator Equation with Spectral Parameter Quadratically Occurring in the Boundary Condition [J] . Aliev B. A. Differential equations: A translation of differensial'nye uraveniya . 2018,第9期

机译：基于边界条件下二阶椭圆差分算子方程对二阶椭圆差分运算符方程的边伊氏问题的渐近行为
4. NONLOCAL BOUNDARY-VALUE PROBLEMS FOR ELLIPTIC EQUATIONS: WELL-POSEDNESS IN BOCHNER SPACES [C] . ALLABEREN ASHYRALYEV International Conference on Mathematical Science . 2011

机译：椭圆型方程的非局部边值问题：Bochner空间中的良好姿势
5. Fast Solvers for Elliptic Partial Differential Equations Based on Spectral and High-Order Methods [D] . Fortunato, Daniel Frank. 2020

机译：基于光谱和高阶方法的椭圆局部微分方程的快速求解器
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 an inverse boundary-value problem for a second-order elliptic equation with non-classical boundary conditions [O] . Prof.dr.rauf AMİROV, Yaşar MEHRALİYEV, Nergiz HEYDARZADE 2020

机译：在具有非古典边界条件的二阶椭圆方程的反向值问题上
8. A Minimum Principle for the Principal Eigenvalue for Second-Order Linear Elliptic Equations with Natural Boundary Conditions. [R] . Holland, C. J. 1977

机译：具有自然边界条件的二阶线性椭圆方程主特征值的最小性原理。

SOLVABILITY OF THE BOUNDARY-VALUE PROBLEM FOR THE SECOND-ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION WITH SPECTRAL PARAMETER IN THE EQUATION AND BOUNDARY CONDITIONS

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