International Journal of Difference Equations
  • Year: 2008
  • Volume: 3
  • Issue: 1

Large nonnegative solutions to a two point boundary value problem for a class of quasi-linear ordinary differential equations*

  • Author:
  • Huisheng Yang1, Zuodong Yang2
  • Total Page Count: 12
  • Page Number: 167 to 178

1School of Mathematics and Information Science, Henan Normal University, Henan Xinxiang, 453002, China

2School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu Nanjing, 210097, China, School of Zhongbei, Nanjing Normal University, Jiangsu Nanjing, 210046, China

AMS subject classification: 34B05, 34C23.

Abstract

In this paper, our main purpose is to establish the existence of large nonnegative solutions for the following problem where λ > 0 is parameter and f is a smooth function. We give some new sufficient conditions for the existence of nonnegative solutions. The main results of the paper extend previously known results.

Keywords

Existence, large nonnegative solutions, two-point boundary value problems, quasilinear ordinary differential equations