期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

一类含一阶导数项二阶微分边值问题单调增加正解的存在性

  • 1. 承德石油高等专科学校数理系, 河北 承德 067000;
    2. 北京理工大学理学院, 北京 100081
  • DOI:

Existence of Increasing Positive Solutions of a Class of Second-order Differential Boundary Value Problems with Firs-torder Derivative Term

摘要/Abstract

摘要:

应用锥拉伸-压缩不动点定理,研究了一类非线性项含一阶导数的二阶常微分方程在积分边界条件下正解的存在性,得到了单调增加正解存在的充分条件.

Abstract:

By using the norm type cone ex pansion-expression fixed point theorem, the existence of increasing positive solut ions is studied of a class of second-order nonlinear ordinary diff erential equations with the first-order derivative term under the integral boundary conditions. A group of sufficient conditions are obtained for the existance of at least one increasing positive solutions.