Adomian Decomposition Method in the Theory of Nonlinear Boundary-Value Problems

被引:0
作者
Boichuk, Oleksandr [1 ]
Chuiko, Serhii [2 ,3 ,4 ]
Popov, Mykyta [4 ]
机构
[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine
[2] Donbas State Pedag Univ, Sloviansk, Donetsk Reg, Ukraine
[3] Max Planck Inst Dynam Complex Tech Syst, Magdeburg, Germany
[4] Natl Acad Sci Ukraine, Inst Appl Math & Mech, Sloviansk, Donetsk Reg, Ukraine
关键词
D O I
10.1007/s11253-024-02363-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For the nonlinear boundary-value problem for an ordinary differential equation in the critical case, we obtain constructive conditions for the existence of solutions and propose a scheme for finding these solutions with the help of the Adomian decomposition method.
引用
收藏
页码:923 / 936
页数:14
相关论文
共 23 条
[2]   POLYNOMIAL NONLINEARITIES IN DIFFERENTIAL-EQUATIONS [J].
ADOMIAN, G ;
RACH, R .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 109 (01) :90-95
[3]   CONVERGENT SERIES SOLUTION OF NONLINEAR EQUATIONS [J].
ADOMIAN, G .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1984, 11 (02) :225-230
[4]   Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions [J].
Benner, P. ;
Seidel-Morgenstern, A. ;
Zuyev, A. .
APPLIED MATHEMATICAL MODELLING, 2019, 69 :287-300
[5]  
Boichuk A. A., 2021, J MATH SCI-U TOKYO, V23, P594, DOI DOI 10.1007/S10958-021-05569-Y
[6]  
Boichuk A. A., 1998, UKR MAT ZH, V50, P186
[7]  
Boichuk A.A., 2020, NELIN KOLYV, V23, P321
[8]  
Boichuk A.A., 2016, Generalized Inverse Operators and Fredholm Boundary-Value Problems, V59, DOI DOI 10.1515/9783110378443
[9]  
Boichuk AA., 1990, CONSTRUCTIVE METHODS
[10]  
Boichuk O. A., 2015, J MATH SCI, V208, P487