A Problem with a Nonlocal Boundary Condition on the Characteristic for a Class of Equations of Mixed Type

M. S. Salakhitdinov; M. Mirsaburov

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A Problem with a Nonlocal Boundary Condition on the Characteristic for a Class of Equations of Mixed Type

机译：一类混合型方程的特征非局部边界条件问题

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摘要

We study the boundary-value problem with a nonlocal boundary condition on the characteristic for a class of equations of mixed type. The unique solvability of the problem is proved.

机译：我们研究了一类混合型方程组在特征上具有非局部边界条件的边值问题。证明了该问题的独特可解决性。

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来源
《Mathematical notes》 |2009年第6期|704-715|共12页
作者
M. S. Salakhitdinov; M. Mirsaburov;
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作者单位

Institute of Mathematics and Information Technology, Academy of Sciences of Usbekistan, Tashkent;

Termez State University, Termez;

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正文语种 eng
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关键词
differential equation of mixed type; Tricomi-Frankl (TF) problem; Cauchy problem; Hoelder function; Carleman method; Wiener-Hopf equation; holomorphic function; residue theorem;

机译：混合型微分方程;Tricomi-Frankl（TF）问题;柯西问题;Hoelder功能;卡尔曼方法;Wiener-Hopf方程;全纯函数残差定理;

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A Problem with a Nonlocal Boundary Condition on the Characteristic for a Class of Equations of Mixed Type

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