SOLVABILITY OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR PSEUDOPARABOLIC EQUATIONS

A. I. Kozhanov; N. S. Popov

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SOLVABILITY OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR PSEUDOPARABOLIC EQUATIONS

机译：伪抛物型方程非局部边值问题的可解性。

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We study nonlocal boundary value problems with the Samarkii and integral conditions for pseudoparabolic equations u_t - a(x,t)u_(xx) + c(x,t)u - u_(xxt) - f(x,t). The existence and uniqueness of a regular solution are established. Bibliography: 9 titles.

机译：我们用Samarkii和伪抛物方程u_t-a（x，t）u_（xx）+ c（x，t）u-u_（xxt）-f（x，t）的积分条件研究非局部边值问题。确定了常规解决方案的存在性和唯一性。参考书目：9种。

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《Journal of Mathematical Sciences》 |2012年第3期|p.438-452|共15页
作者
A. I. Kozhanov; N. S. Popov;
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Sobolev Institute of Mathematics SB RAS 4, pr. Akad. Koptyuga, Novosibirsk 630090, Russia Novosibirsk State University 2, ul. Pirogova, Novosibirsk 630090, Russia;

Ammosov North-Eastern Federal University 48, ul. Kulakovskogo, Yakutsk 677000, Russia;

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专利

1. Solving nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space [J] . Yingzhen Lin, Yongfang Zhou Numerical Algorithms . 2009,第2期

机译：求解核空间中具有非局部边界条件的非线性伪抛物方程
2. Solving nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space [J] . Lin YZ, Zhou YF Numerical algorithms . 2009,第2期

机译：求解核空间中具有非局部边界条件的非线性伪抛物方程
3. Solvability of a boundary value problem for a pseudoparabolic equation with nonlocal integral conditions [J] . Popov N. S. Differential equations: A translation of differensial'nye uraveniya . 2015,第3期

机译：具有非局部积分条件的拟抛物型方程边值问题的可解性。
4. Nonlocal problem with Bitsadze-Samarsky and Samarsky-Ionkin type conditions for a system of pseudoparabolic equations [C] . Mamedov Ilgar 2012 4th International Conference "Problems of Cybernetics and Informatics". . 2012

机译：伪抛物方程组的Bitsadze-Samarsky和Samarsky-Ionkin类型条件的非局部问题
5. Boundary Data Smoothness for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations [D] . Pennington, Brian C. 2018

机译：n阶微分方程非局部边值问题解的边界数据光滑度
6. About Positivity of Greens Functions for Nonlocal Boundary Value Problems with Impulsive Delay Equations [O] . Alexander Domoshnitsky, Irina Volinsky -1

机译：关于带有脉冲时滞方程的非局部边值问题的格林函数正性
7. Initial-boundary value problems for a class of pseudoparabolic equations with integral boundary conditions [O] . Bouziani Abdelfatah 2004

机译：一类具积分边界条件的伪抛物方程的初边值问题
8. Equivalence of the Ewald-Oseen Extinction Theorem as a Nonlocal Boundary-Value Problem with Maxwell's Equations and Boundary Conditions. [R] . Dialetis, D. 1977

机译：作为具有麦克斯韦方程和边界条件的非局部边值问题的Ewald-Oseen灭绝定理的等价性。

SOLVABILITY OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR PSEUDOPARABOLIC EQUATIONS

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