Affiliation:
1. Faculty of Science, Alexandria University, Alexandria, Egypt
2. Faculty of Science, Garyounis University, Benghazi, Libya
Abstract
We study the existence of at least one monotonic positive solution for the nonlocal boundary value problem of the second-order functional differential equationx′′(t)=f(t,x(ϕ(t))),t∈(0,1), with the nonlocal condition∑k=1makx(τk)=x0,x′(0)+∑j=1nbjx′(ηj)=x1, whereτk∈(a,d)⊂(0,1),ηj∈(c,e)⊂(0,1), andx0,x1>0. As an application the integral and the nonlocal conditions∫adx(t)dt=x0,x′(0)+x(e)-x(c)=x1will be considered.
Subject
Applied Mathematics,Analysis
Cited by
3 articles.
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