scispace - formally typeset
Open AccessJournal Article

Monotone iterative method for fourth order nonlinear boundary value problems

TLDR
In this article, the existence results of solutions for the fourth order boundary value problem were given by means of the monotone iterative method, and the existence of solutions was analyzed using the SVM algorithm.
Abstract
This paper studies the existence of solutions for the fourth order boundary value problemu{(4)(t)=f(t,u(t),u″(t)),t∈[0,1]u(0)=u(1)=u″(0)=u″(1)=0,where f:[0,1]×R×RR is continuous.The existence results of solutions is given by means of the monotone iterative method.

read more

Citations
More filters
Journal ArticleDOI

Positive and maximal positive solutions of singular mixed boundary value problem

TL;DR: In this paper, the existence results for positive solutions and maximal positive solutions of singular mixed boundary value problems were studied. But the results were restricted to positive solutions with a strong singularity at x = 0.
References
More filters
Journal ArticleDOI

Positive and maximal positive solutions of singular mixed boundary value problem

TL;DR: In this paper, the existence results for positive solutions and maximal positive solutions of singular mixed boundary value problems were studied. But the results were restricted to positive solutions with a strong singularity at x = 0.
Related Papers (5)