Affiliation:
1. School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou, PR China
2. School of Mathematics, Sun Yat-Sen University, Guangzhou, PR China
Abstract
In this paper, weconsider the fourth order p-Laplacian beam equation
(?p(u??(t)))?? = f (t, u(t), u??(t)) with integral boundary conditions
u??(0) = u??(1) = 0, u(0)??u?(0) = ?10 g1(s)u(s)ds, u(1)+?u?(1) = ? 10
g2(s)u(s)ds. By using the contraction mapping principle, we establish the
existence and uniqueness of solutions for the problem. The monotony of
iterations is also considered. At last, some examples are presented to
illustrate the main results.
Publisher
National Library of Serbia