期刊文献+

半无穷区间二阶微分方程边值问题的多个正解的存在性 被引量:17

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS ON THE HALF-LINE
原文传递
导出
摘要 利用Leggett-Williams不动点定理,研究半无穷区间边值问题的多个正解的存在性. In this paper, using the Leggett-Williams fixed point theorem, we establish the existence of multiple positive solutions for a class of second-order boundary value problems on the half-line as following {x″+p(t)f(t,x,x')=0,0〈t〈∞;x(0)=0,x'(∞)=0
出处 《系统科学与数学》 CSCD 北大核心 2006年第1期113-120,共8页 Journal of Systems Science and Mathematical Sciences
基金 浙江省自然科学基金(Y604127) 浙江省教育科研基金(20030594) 湖州师院科研基金(200302)资助课题.
关键词 边值问题 正解 不动点 Boundary value problem, positive solution, fixed point.
  • 相关文献

参考文献6

  • 1Zhao Z. Positive solutions of nonlinear second order ordinary differential equation. Proc. Amer.Math. Soci., 1994, 121(2): 465-469.
  • 2Yan Baoqiang. Multiple Unbounded solutions of boundary value problems for second-order differential equations on the half-line. Nonlinear Anal., 2002, 51: 1031-1044.
  • 3Zhidkov Peter E. An analog of the fourier transform associated with a nonlinear one-dimensional schroedinger equation. Nonlinear Anal., 2002, 52: 737-754.
  • 4Guo Dajun. Boundary value problems for impulsive integro-differential equations on unboundary domains in a banach space. Appl. Math. Comp., 1999, 99: 1-15.
  • 5Leggett R,Williams L. Multiple positive fixed points of nonlinear operators on ordered banach suaces. Indiana Universitu Math. J., 1979, 28: 673-688.
  • 6Corduneanu C. Integral Equation and Stability of Feedback Systems. Academic Press, New York,1973.

同被引文献78

引证文献17

二级引证文献12

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部