NONUNIQUENESS OF THE SOLUTION TO THE INTERIOR NEUMANN-GELLERSTEDT PROBLEM FOR THE LAVRENT'EV-BITSADZE EQUATION

E. I. Moiseev; T. E. Moiseev; A. A. Kholomeeva

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NONUNIQUENESS OF THE SOLUTION TO THE INTERIOR NEUMANN-GELLERSTEDT PROBLEM FOR THE LAVRENT'EV-BITSADZE EQUATION

机译：Lavrent EV-bitsadze方程的内部Neumann-Gellerstedt问题解的唯一性

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We prove that the homogeneous Neumann-Gellerstedt problem with data on internal characteristics has a nontrivial solution under the Frankl matching condition on the line where the equation changes type. Bibliography: 9 titles.

机译：我们证明了具有内在特性数据的齐次Neumann-Gellerstedt问题在方程改变类型的直线上的Frankl匹配条件下具有非平凡解。参考书目：9种。

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《Journal of Mathematical Sciences》 |2019年第4期|563-568|共6页
作者
E. I. Moiseev; T. E. Moiseev; A. A. Kholomeeva;
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Lomonosov Moscow State University 1, Leninskie Gory, 119992 Moscow, Russia;

Lomonosov Moscow State University 1, Leninskie Gory, 119992 Moscow, Russia;

Lomonosov Moscow State University 1, Leninskie Gory, 119992 Moscow, Russia;

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1. On the uniqueness of the solution of the Tricomi problem for the Lavrent'ev-Bitsadze equation with complex parameter and with two lines of type change [J] . Sabitov K. B., Gimaltdinova A. A. Differential equations: A translation of differensial'nye uraveniya . 2014,第12期

机译：具有复杂参数和两类类型变化的Lavrent'ev-Bitsadze方程的Tricomi问题解的唯一性
2. Properties of Solutions of the Tricomi Problem for the Lavrent'ev-Bitsadze Equation at Corner Points [J] . A. V. Rogovoy Differential equations: A translation of differensial'nye uraveniya . 2013,第12期

机译：Lavrent'ev-Bitsadze方程在拐角处的Tricomi问题解的性质
3. On the solution of the Gellerstedt problem for the Lavrent’ev-Bitsadze equation [J] . T. E. Moiseev Differential Equations . 2012,第10期

机译：关于Lavrent’ev-Bitsadze方程的Gellerstedt问题的解
4. On a boundary condition of Bitsadze-Samarskii for the Lavrent'ev-Bitsadze equation [C] . Tynysbek Kalmenov, Gaukhar D. Arepova International Conference on Analysis and Applied Mathematics . 2018

机译：在Lavrent'ev-Bitsadze方程的Bitsadze-Samarskii的边界条件
5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

机译：非线性椭圆方程的主题：（1）非线性椭圆方程的分岔理论；（2）Cahn-Hilliard方程的尖峰层解。
6. The Spatial Chemical Langevin Equation and Reaction Diffusion Master Equations: moments and qualitative solutions [O] . Atiyo Ghosh, Andre Leier, Tatiana T Marquez-Lago 2015

机译：空间化学Langevin方程和反应扩散主方程：矩和定性解
7. Oblique Derivative Problem for Generalized Lavrent$'$ev-Bitsadze Equations [O] . Guochun Wen, Yanhui Zhang 2014

机译：广义Lavrent $'$ EV-Bitsadze方程的斜衍生物问题
8. Nonunique Solution of the System of Integro-Differential Faddeev Equations in the Case of Confining of S-Wave Potentials [R] . Pupyshev, V. V. 1985

机译：s波电位受限情形下积分微分Faddeev方程组的非唯一解

NONUNIQUENESS OF THE SOLUTION TO THE INTERIOR NEUMANN-GELLERSTEDT PROBLEM FOR THE LAVRENT'EV-BITSADZE EQUATION

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