This paper is concerned with a third-order nonlinear separated boundary value problem. By the Leray-Schauder degree theory and the method of upper and lower solutions, we obtain the existence of at least three solutions to the problem.
Xiaojie Lin, Benshen Zhao (School of Mathematical Sciences, Xuzhou Normal University, Xuzhou 221116, Jiangsu)
A class of combustion problem with shock layers is considered.A modified perturbation method is presented.Using this simple and valid technique,we construct the boundary and the shock layers solution to the problem,and the asymptotic behavior of the solution is discussed.The modifying perturbation method is shown to be a valid method.
In this paper, we are concerned a class of second-order m-point boundary value problem. The existence results of at least three positive solutions are given by using a fixed-point theorem and imposing growth conditions on the nonlinear term, which depends on the first derivative.
Jing Liang, Bensheng Zhao, Zengji Du (School of Mathematical Sciences, Xuzhou Normal University, Xuzhou 221116, Jiangsu)
