PTH POWER INTEGRABLE SOLUTIONS OF AN OPERATOR-DIFFERENTIAL EQUATION

M. F. Horodnii; A. V. Syrotenko

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PTH POWER INTEGRABLE SOLUTIONS OF AN OPERATOR-DIFFERENTIAL EQUATION

机译：算子-微分方程的PTH次幂积分解

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摘要

We study the property of boundedness (or of the pth power integrability) of the solutions of a differential equation with bounded operator coefficient in a Banach space for a special class of "input" functions.

机译：我们研究Banach空间中一类特殊的“输入”函数的带界算子系数的微分方程解的有界性（或pth幂可积性）的性质。

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来源
《Journal of Mathematical Sciences 》 |2016年第4期| 371-379| 共9页
作者
M. F. Horodnii; A. V. Syrotenko;
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作者单位

Shevchenko Kyiv National University, Volodymyrs'ka Str., 64, Kyiv, 01033, Ukraine;

'Kyiv Polytechnic Institute' Ukrainian National Technical University, Peremohy Avenue, 37, Kyiv, 03056, Ukraine;

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专利

1. ON pTH-POWER INTEGRABLE SOLUTIONS OF A DIFFERENCE EQUATION WITH CONTINUOUS ARGUMENT IN A BANACH SPACE [J] . M. F. Horodnii, A. V. Syrotenko Journal of Mathematical Sciences . 2013 ,第3期

机译：Banach空间中带连续参数的微分方程的pTH-幂可积解
2. ON APPROXIMATION OF SOLUTIONS OF OPERATOR-DIFFERENTIAL EQUATIONS WITH THEIR ENTIRE SOLUTIONS OF EXPONENTIAL TYPE [J] . V. M. GORBACHUK Methods of Functional Analysis and Topology . 2016 ,第3期

机译：指数型整体解的算子-微分方程解的逼近
3. On generalized solutions of a boundary value problem for operator-differential equations on a finite interval [J] . Sabir S. Mirzoyev, Hasan I. Zamanov Applied mathematical sciences . 2017 ,第29a32期

机译：关于有限区间算子-微分方程的边值问题的广义解
4. Time integrations in solution of diffusion problems by local integral equations and moving least squares approximation [C] . V. Sladek, J. Sladek, Ch. Zhang International Conference on Boundary Elements and Other Mesh Reduction Methods . 2011

机译：通过局部积分方程对扩散问题解决方案的时间集成和移动最小二乘近似
5. Stability of Solutions of Integrable Partial Differential Equations [D] . Upsal, Jeremy. 2020

机译：可编程局部微分方程解的稳定性
6. On the pth moment estimates of solutions to stochastic functional differential equations in the G-framework [O] . Faiz Faizullah -1

机译：关于G框架中随机泛函微分方程解的pth矩估计
7. On the Generalized Solution of the Boundary-Value Problem for the Operator-Differential Equations of the Second Order with Variable Coefficients [O] . Aliev A.R. 2006

机译：变系数二阶算子-微分方程边值问题的广义解
8. Solution and Stability of a Set of PTH Order Linear Differential Equations withPeriodic Coefficients via Chebyshev Polynomials [R] . Sinha, S. C., Butcher, E. A. 1995

机译：一类具有周期系数的pTH阶线性微分方程的Chebyshev多项式的解及稳定性

PTH POWER INTEGRABLE SOLUTIONS OF AN OPERATOR-DIFFERENTIAL EQUATION

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