A different monotone iterative technique for a class of nonlinear three-point BVPs

被引：0

作者：

Singh, Mandeep ^{[1
]}

Urus, Nazia ^{[2
]}

Verma, Amit K. ^{[2
]}

机构：

[1] Jaypee Univ Informat Technol, Dept Math, Salon 173234, HP, India

[2] Indian Inst Technol, Dept Math, Patna 801103, Bihar, India

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 08期

关键词：

Monotone iterative technique; Reversed ordered upper-lower solutions; Three point BVPs; Bridge design; Nonlinear ODEs; Green's function; BOUNDARY-VALUE PROBLEM; 2ND-ORDER; EXISTENCE;

D O I：

10.1007/s40314-021-01653-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work examines the existence of the solutions of a class of three-point nonlinear boundary value problems that arise in bridge design due to its nonlinear behavior. A maximum and anti-maximum principles are derived with the support of Green's function and their constant sign. A different monotone iterative technique is developed with the use of lower solution x(z) and upper solution y(z). We have also discussed the classification of well ordered (x <= y) and reverse ordered (y <= x) cases for both positive and negative values of sup (partial derivative f/partial derivative w). Established results are verified with the help of some examples.

引用

页数：22

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