A SOLUTION TO A NONLINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATION

被引：1
|
作者：
Assanova, Anar T. [1 ]
Karakenova, Sayakhat G. [1 ,2 ]
Mynbayeva, Sandugash T. [1 ,3 ]
Uteshova, Rosa E. [1 ,4 ]
机构：
[1] Inst Math & Math Modeling MES RK, Alma Ata 050010, Kazakhstan
[2] Al Farabi Kazakh Natl Univ, Alma Ata 050040, Kazakhstan
[3] K Zhubanov Aktobe Reg Univ, Aktobe 030000, Kazakhstan
[4] Int Informat Technol Univ, Dept Math & Comp Modeling, Alma Ata 050034, Kazakhstan
来源：
QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 01期
关键词：
Nonlinear Fredholm integro-differential equations; special Cauchy problem; general solution; boundary value problem; BOUNDARY-VALUE-PROBLEMS; NUMERICAL-SOLUTION; SOLVE; ALGORITHM;
D O I：
10.2989/16073606.2023.2183157
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with a Fredholm integro-differential equation with non-linear integral term. By using the Dzhumabaev parametrization method, we reduce the equation to a special Cauchy problem and establish sufficient conditions for the existence of its unique solution. The solution to the special Cauchy problem is used to construct a new general solution to the Fredholm integro-differential equation. We investigate some properties of the new general solution and apply it to boundary value problems.
引用
收藏
页码：61 / 73
页数：13
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