Affiliation:
1. Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, China
2. Department of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea
Abstract
This paper is concerned with the higher order nonlinear neutral delay differential equation[a(t)(x(t)+b(t)x(t-τ))(m)](n-m)+[h(t,x(h1(t)),…,x(hl(t)))](i)+f(t,x(f1(t)),…,x(fl(t)))=g(t),for allt≥t0. Using the Banach fixed point theorem, we establish the existence results of uncountably many positive solutions for the equation, construct Mann iterative sequences for approximating these positive solutions, and discuss error estimates between the approximate solutions and the positive solutions. Nine examples are included to dwell upon the importance and advantages of our results.
Funder
Science Research Foundation of Educational Department of Liaoning Province
Subject
Applied Mathematics,Analysis
Cited by
2 articles.
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