NONLOCAL BOUNDARY VALUE PROBLEMS WITH PARTIALLY INTEGRAL CONDITIONS FOR DEGENERATE DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS

A. I. Kozhanov; G. A. Lukina

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NONLOCAL BOUNDARY VALUE PROBLEMS WITH PARTIALLY INTEGRAL CONDITIONS FOR DEGENERATE DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS

机译：具有多个特征的退化微分方程具有部分积分条件的非局部边值问题

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摘要

We study the solvability of new local and nonlocal boundary-value problems for degenerate differential equations with multiple characteristics. We establish the existence of regularsolutions and discuss possible generalizations and improvements of the obtained result. Bibliography: 18 titles.

机译：我们研究具有多个特征的退化微分方程新的局部和非局部边值问题的可解性。我们建立正则解的存在并讨论可能的概括和所得结果的改进。参考书目：18种。

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《Journal of Mathematical Sciences》 |2019年第4期|549-562|共14页
作者
A. I. Kozhanov; G. A. Lukina;
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Sobolev Institute of Mathematics SB RAS 4, Akad. Koptyuga pr., Novosibirsk 630090, Russia,Novosibirsk State University 1, Pirogova St., Novosibirsk 630090, Russia;

Mirnyi Polytechnic Institute (Branch of the North-Eastern Federal University in Mirnyi) 5/1, Tikhonov St., Mirnyi 678175, Russia;

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机译：具有非识别和分数整体边界条件的Caputo分数微分方程的边值问题
2. A six-point nonlocal boundary value problem of nonlinear coupled sequential fractional integro-differential equations and coupled integral boundary conditions [J] . Bashir Ahmad, Ahmed Alsaedi, Shorog Aljoudi, Journal of Applied Mathematics and Computing . 2018,第1a2期

机译：非线性耦合顺序分数积分差分方程的六点非局部边值问题和耦合整体边界条件
3. BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS AND INCLUSIONS WITH NONLOCAL AND RIEMANN-LIOUVILLE INTEGRAL BOUNDARY CONDITIONS [J] . SOTIRIS K. NTOUYAS, JESSADA TARIBOON Communications in Applied Analysis . 2015,第3a4期

机译：非局部和Riemann-Liouville积分边界条件的分数阶微分方程和包含在内的边界值问题
4. On Solvability of Boundary Value Problems for Hyperbolic Fourth-Order Equations with Nonlocal Boundary Conditions of Integral Type [C] . Nikolay S. Popov International Conference on Mathematical Modeling . 2017

机译：与整体类型非识别边界条件的双曲四阶方程边值问题的解
5. Boundary Data Smoothness for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations [D] . Pennington, Brian C. 2018

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6. Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions [O] . M. J. Mardanov, N. I. Mahmudov, Y. A. Sharifov -1

机译：具有两点和积分边界条件的脉冲分数阶微分方程的存在性和唯一性定理
7. Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions [O] . Choukri Derbazi, Hadda Hammouche 2020

机译：具有非识别和分数整体边界条件的Caputo分数微分方程的边值问题

NONLOCAL BOUNDARY VALUE PROBLEMS WITH PARTIALLY INTEGRAL CONDITIONS FOR DEGENERATE DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS

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