Existence of Positive Solutions for a Class of Nonlinear Second-Order Dirichlet Problem
DOI:
Author:
Affiliation:

Clc Number:

O175.8

Fund Project:

  • Article
  • |
  • Figures
  • |
  • Metrics
  • |
  • Reference
  • |
  • Related
  • |
  • Cited by
    Abstract:

    ~In this paper,~ we study the existence of positive solutions for a class of nonlinear second-order Dirichlet problem ~ $$ \left\{\begin{array}{ll} u''-\ a(t)u+f(t,u)= 0,~~\ \ \ 0< t< 1\\[2ex] \ u(0)=\ u(1)=0 \end{array} \right.\eqno $$\~where~$f:[0,1]\times R^{+}\rightarrow R^{+}$~is continuous,~$a:[0,1]\rightarrow R^{+}$~is continuous.~The proof of the main results is based on the fixed-point theorem of cone expansion-compression.

    Reference
    Related
    Cited by
Get Citation

Cite this article as: YE Fu-Mei. Existence of Positive Solutions for a Class of Nonlinear Second-Order Dirichlet Problem [J]. J Sichuan Univ: Nat Sci Ed, 2017, 54: 463.

Copy
Share
Article Metrics
  • Abstract:
  • PDF:
  • HTML:
  • Cited by:
History
  • Received:December 22,2016
  • Revised:March 08,2017
  • Adopted:March 09,2017
  • Online: June 04,2017
  • Published: