期刊文献+

一类非线性特征值问题正解的存在性

Existence of Positive Solutions to a Class of Nonlinear Eigenvalue Problems
下载PDF
导出
摘要 研究了一类非线性特征值问题,利用非线性二择一不动点定理得到了问题正解存在性的两个充分条件。 A class of nonlinear eigenvalue problems is deal with, two sufficient conditions for existence of positive solutions are established by using nonlinear alternative fixed-point theorem.
出处 《科学技术与工程》 2007年第18期4693-4695,共3页 Science Technology and Engineering
基金 到国家自然科学基金资助项目(50476083) 华北电力大学青年教师科研基金项目资助
关键词 正解 非线性特征值问题 非线性二择一不动点定理 positive solution nonlinear eigenvalue problems nonlinear ahernative fixed-point theorem
  • 相关文献

参考文献3

二级参考文献24

  • 1Lan, K. Q. & Webb, J., Positive solutions of semilinear differential equation with singularity [J], J. Diff. Equation, 148(1998), 407-421.
  • 2Keller, H. B., Some positive problems suggested by nonlinear heat generation [A], in "Bifurcation Theory and Nonlinear Eigenvalue Problems" (J. B. Keller and S. Antman Eds.) [M], 217-255, Benjiamin, Elmsfors, New York, 1969.
  • 3Guo, D. & Lakshmikantham, V., Nonlinear problems in abstract cones [M], Academic Press, San Diego, 1988.
  • 4Luiper, H. J., On positive solutions of nonlinear elliptic eigenvalue problems [J], Rend.Cire. Mat. Palenno, 20:2(1979), 113-138.
  • 5Erbe, L. H. & Hu Shouchuan, Multiple positive solutions of some boundary value problems [J], Nonlinear Anal., 184(1994), 640-648.
  • 6Garaizer, X., Existence of positive radial solutions for semilinear elliptic problems in the ammukus [J], J. Differential Equations, 70(1987), 69-72.
  • 7Guo, D. & Sun. J., Calculation and application of topological degree [J], Math. Res.Expo., 8(1988), 469--480 (in Chinese).
  • 8Ha, Ki Sik & Lee Yong-hoon, Existence of multiple positive solutions of singular boundary value problems [J], Nonlinear Anal., 28(1997), 1429-1438.
  • 9Eloe, P. W. & Henderson, Positive solutions for higher order nonlinear equations [J], J.Differential Equations, 3(1995), 1-8.
  • 10Henderson & Wang, H., Positive solutions of nonlinear eigenvalue problems [J], J. Math.Anal. Appl., 208(1997), 252-259.

共引文献24

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