BOUNDARY VALUE PROBLEMS FOR THE LOADED THIRD ORDER EQUATIONS OF THE HYPERBOLIC AND MIXED TYPES

被引：0
|
作者：
Baltayeva, U. I. [1 ]
Islomov, B. I. [2 ]
机构：
[1] Urgench State Univ, Hamid Olimjon Str,14, Urgench 220100, Uzbekistan
[2] Inst Math & Informast Technol AS RUz, Tashkent 110100, Uzbekistan
来源：
UFA MATHEMATICAL JOURNAL | 2011年 / 3卷 / 03期
关键词：
loaded equation; equations of the mixed type; integral equation; integral equation with a shift; Bessel's functions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the unique solvability is proved for the solution of boundary value problems of a loaded third order differential equation with hyperbolic and parabolic-hyperbolic operators. The boundary value problems for loaded differential equations are reduced to the Volterra integral equation of the second kind. On this basis, existence and uniqueness of the solution of boundary value problems is proved by the method of integral equations.
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页码：15 / 25
页数：11
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