J4

• Articles • Previous Articles     Next Articles

Multiple solutions for a class of second order differential equations

TIAN Jia-cai and GAO Li   

  1. Department of Mathematics, Binzhou University, Binzhou 256600, Shandong, China
  • Received:2006-09-25 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: TIAN Jia-cai

PDF (PC)

1216

Abstract: Based on the cioncidence degree method, the existence of multiple solutions for a class of second order differential wquations is obtained under the existence of upper and lower solutions.

Key words: bounded value problem , upper and lower solutions, coincidence degree

CLC Number: 

  • O175.8
[1] SU Xiao-feng, JIA Mei, LI Meng-meng. Existence of solution for fractional differential equation integral boundary value problem at resonance [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 66-73.
[2] ZHU Wen-wen. Existence of multiple of solutions of first order multi-point boundary value problem [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(6): 42-48.
[3] ZHU Wen-wen. Existence and multiplicity of positive solutions of first order periodic boundary value problems with parameter [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(12): 36-41.
[4] MA Lu-yi. The Ambrosetti-Prodi type results of the nonlinear second-order Neumann boundary value problem [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(03): 62-66.
[5] SUN Yan-mei1, ZHAO Zeng-qin2. Existence of solutions for a class of second order  singular impulsive differential equations [J]. J4, 2013, 48(6): 91-95.
[6] LI Fan-fan, LIU Xi-ping*, ZHI Er-tao. Existence of a solution for the boundary value problem of
fractional differential equation with delay [J]. J4, 2013, 48(12): 24-29.
[7] ZHANG Xiang, HUANG Shu-xiang. Monotone iterative technique, existence and uniqueness results for the nonlinear fractional reaction-diffusion equation [J]. J4, 2011, 46(2): 9-14.
[8] CHEN Xinyi. [J]. J4, 2009, 44(4): 47-50 .
[9] CHEN Xin-Yi. Periodic solution of the higher order nonlinear differential equation [J]. J4, 2009, 44(10): 43-47.
[10] HUANG Yu-mei,GAO De-zhi,QIN Wei,DONG Xin . Existence of three solutions for some second-order four-point boundary value problems [J]. J4, 2008, 43(6): 53-56 .
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd