Abstract
In this paper, we study a nonlinear third-order multipoint boundary value problem by the monotone iterative method. We then obtain the existence of monotone positive solutions and establish iterative schemes for approximating the solutions. In addition, we extend the considered problem to the Riemann-Liouville-type fractional analogue. Finally, we give a numerical example for demonstrating the efficiency of the theoretical results.
Highlights
1 Introduction In this article, we are concerned with the existence of monotone positive solutions to the third-order and fractional-order multipoint boundary value problems
We consider the following third-order multipoint boundary value problem: u (t) + q(t)f t, u(t), u (t) =, < t
By the Guo-Krasnoselskii fixed point theorem, the authors established the intervals of the parameter, which yields the existence of one, two, or infinitely many monotone positive solutions under some suitable conditions
Summary
1 Introduction In this article, we are concerned with the existence of monotone positive solutions to the third-order and fractional-order multipoint boundary value problems. We consider the following third-order multipoint boundary value problem: u (t) + q(t)f t, u(t), u (t) = , < t < , m u( ) = u ( ) = , u ( ) = αiu (ηi), i= The study of existence of positive solutions of third-order boundary value problems has gained much attention [ – ].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
