scholarly journals Monotone iterative method for a p-Laplacian boundary value problem with fractional conformable derivatives

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Jianfang Qin ◽  
Guotao Wang ◽  
Lihong Zhang ◽  
Bashir Ahmad
Keyword(s):  
Iterative Method ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Monotone Iterative Method ◽  
Monotone Iterative ◽  
Conformable Derivatives

scholarly journals A monotone iterative method for boundary value problems of parametric differential equations

2001 ◽  
Vol 14 (2) ◽  
pp. 183-187 ◽  
Author(s):  
Xinzhi Liu ◽  
Farzana A. McRae
Keyword(s):  
Differential Equations ◽  
Iterative Method ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Upper And Lower Solutions ◽  
Extremal Solutions ◽  
Monotone Iterative Method ◽  
Monotone Iterative ◽  
Monotone Sequences

This paper studies boundary value problems for parametric differential equations. By using the method of upper and lower solutions, monotone sequences are constructed and proved to converge to the extremal solutions of the boundary value problem.

scholarly journals Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Guotao Wang ◽  
Sanyang Liu ◽  
Lihong Zhang
Keyword(s):  
Iterative Method ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Unbounded Domain ◽  
Boundary Value ◽  
Monotone Iterative Method ◽  
Fractional Boundary Value Problem ◽  
Iterative Approximation ◽  
Monotone Iterative

By employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating the two positive solutions. An example is given for the illustration of the main result.

scholarly journals Existence of Positive Solutions for a Nonlinear Higher-Order Multipoint Boundary Value Problem

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Min Zhao ◽  
Yongping Sun
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Boundary Value ◽  
Higher Order ◽  
Existence Results ◽  
Monotone Iterative Method ◽  
Multipoint Boundary ◽  
Monotone Iterative ◽  
Existence Of Positive Solutions ◽  
Multipoint Boundary Value Problem

We study the existence of positive solutions for a nonlinear higher-order multipoint boundary value problem. By applying a monotone iterative method, some existence results of positive solutions are obtained. The main result is illustrated with an example.

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