Boundary Value Problem for an Odd Order Equation with Multiple Characteristics

被引：0
|
作者：
Kurbanov O. [1 ]
Dzhamalov S.Z. [2 ,3 ]
Pyatkov S. [4 ,5 ]
机构：
[1] Tashkent State University of Economics, 49, Islom Karimov St, Tashkent
[2] Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, 9, University St, Tashkent
[3] Central Asian University, 264, Milliy bog St, Tashkent
[4] Yugra State University, 16, Chekhova St, Khanty-Mansiysk
[5] Academy of Sciences of the Republic of Sakha (Yakutia), 33, Lenin Av, Yakutsk
来源：
Journal of Mathematical Sciences | 2023年 / 274卷 / 2期
关键词：
D O I：
10.1007/s10958-023-06592-x
中图分类号：
学科分类号：
摘要：
We prove the unique solvability of the nonlinear boundary value problem for an odd order nonlinear equation with multiple characteristics in a curvilinear domain. The uniqueness of a solution is established by the method of energy integrals by using some elementary inequalities and Friedrichs type inequalities. To prove the existence of a solution to this problem, an auxiliary problem is considered whose Green function is constructed. With the help of this auxiliary problem, the original problem is reduced to a system of Hammerstein integral equations. The solvability of the nonlinear system is proved by the contraction mapping principle. © 2023, Springer Nature Switzerland AG.
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页码：241 / 254
页数：13
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