On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type

Muratbekov Musakan; Muratbekov Madi Mussakanovich; Abylayeva Akbota Mukhamediyarovna

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On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type

机译：一类双曲型微分算子的分解和谱的离散性

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摘要

The existence and compactness of the resolvent are studied in this paper. One of the main results is the criterion of discreteness of the spectrum of a hyperbolic singular differential operator.

机译：研究了分解剂的存在性和紧致性。主要结果之一是双曲奇异差分算子的频谱离散性判据。

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《Electronic Journal of Qualitative Theory of Differential Equations 》 |2013年第4期| 共10页
作者
Muratbekov Musakan; Muratbekov Madi Mussakanovich; Abylayeva Akbota Mukhamediyarovna;
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中图分类数学 ;
关键词
spectrumresolventsingular differential operatorhyperbolic type;

机译：光谱分辨奇异算子双曲型;

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1. On the existence of a resolvent of a class of singular mixed type differential operators in an unbounded domain [J] . Musakhan Muratbekov, Sabit Igisinov Advances in Pure and Applied Mathematics . 2013 ,第3期

机译：关于无界域中一类奇异混合型微分算子的分解物的存在
2. Existence via time discretization for a class of doubly nonlinear operator-differential equations of Barenblatt-type [J] . Emmrich E., Vallet G. Journal of Differential Equations . 2013 ,第6期

机译：一类Barenblatt型双非线性算子-微分方程的通过时间离散的存在性
3. Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators [J] . Eduardo Hernández, Donal O’Regan, Krishnan Balachandran Indagationes Mathematicae . 2013 ,第1期

机译：具有非局部条件的抽象分数阶微分方程通过分解算子的存在性结果
4. Boundary Value Problems for Some Classes of Composite Type Differential Equations with Quasi-Hyperbolic Operator in the Leading Part [C] . Alexander I. Kozhanov, Nyurguyana R. Pinigina International Conference on Mathematical Modeling . 2017

机译：在领先部分中与准双向校正算子的一些类别差分方程的边值问题
5. Asymptotic Behaviour of Spectrums for Elliptic Pseudo-differential Operators [D] . Wang, Xing. 2015

机译：椭圆伪差分算子谱的散射行为
6. The spectrum and some subdivisions of the spectrum of discrete generalized Cesàro operators on ... formula ... (... formula ...) [O] . Mustafa Yıldırım, Nuh Durna -1

机译：...公式...（...公式...）上的离散广义Cesàro算符的谱和谱的某些细分
7. On Existence of the Resolvent and Discreteness of the Spectrum of a Class of Differential Operators of Hyperbolic Type [O] . M. B. Muratbekov, M. M. Muratbekov 2015

机译：一类双曲型差分算子谱的分辨率与离散性的存在
8. The Existence of Eigenvalues Embedded in the Continuous Spectrum of Ordinary Differential Operators. [R] . eastham, m. s. p. mcleod, j. b. 1976

机译：常微分算子连续谱中特征值的存在性。

On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type

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