[1]陈玉文,李建利.二阶脉冲边值问题解的存在性(英文)[J].南京师大学报(自然科学版),2007,30(04):28-31.
　Chen Yuwen,Li Jianli.Existences of Solutions for Second-Order Impulsive Differential Equations With Boundary Value Problems[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(04):28-31.
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二阶脉冲边值问题解的存在性(英文)()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第30卷
期数:
2007年04期
页码:
28-31
栏目:
数学
出版日期:
2007-12-30

文章信息/Info

Title:
Existences of Solutions for Second-Order Impulsive Differential Equations With Boundary Value Problems
作者:
陈玉文1;  李建利2
( 1. 淮阴工学院计算科学系, 江苏淮安223001)
( 2. 湖南师范大学数学系, 湖南长沙410081)
Author(s):
Chen Yuwen1; Li Jianli2
1.Department of Computation Science,Huaiyin Institute of Technology,Huaian 223001,China
2. Dep artm en t ofM athem atics, H unan Norm alUn iversity, Ch angsha 410081, C h ina
关键词:
脉冲微分方程;  边值问题;  不动点定理
Keywords:
im pu lsive d ifferent ial equat ion s;  boundary value p rob lem s;  f ixed po int theorem
分类号:
O175.8
摘要:
研究了一类二阶非线性脉冲微分方程边值问题解的存在性.利用不动点定理,通过对非线性项和脉冲函数的适当假设,证明了至少一个正解的存在性,推广和改进了一些相应文献的结果.
Abstract:
In th is paper, a class of boundary value problem of second-ord er im pu ls ive non linear d ifferent ial equationw as stud ied. By u sing th eK rasnoselsk ii f ixed poin t theorem, w e show th e ex is ten ce of at least one positive solu tionw ith su it ab le condit ions im pose on the non linear term and impu lsive fun ct ion s, w h ich gen eralize and im prove som e know n resu lts. K ey words: im pu lsive d ifferent ial equat ion s, boundary value p rob lem s, f ixed po int theorem

参考文献/References:

[ 1] Cabada A, L iz E. Boundary va lue problem s for h igher o rder o rdina ry differential equations w ith impu lses[ J]. Non linear Anal, 1998, 32( 4): 775-786.
[ 2] W e i Z. Per iod ic boundary va lue prob lem for second orde r impulsiv e integro-differential equa tions o f m ixed type in Banach spaces[ J] , JM ath Ana lApp,l 1995, 195( 2): 214-229.
[ 3] Cabada A, N ie to J J, Franco D, et a.l A genera liza tion of the monotone m e thod fo r second orde r per iod ic boundary value problem with impulses at fix ed points[ J]. Dynam Contin D iscrete Impu ls Sy s, 2000, 7( 2) : 145-158.
[ 4] Guo D, L iu X. M ultiple positive solutions of boundary va lue problem s for impulsiv e d ifferen tia l equation [ J]. Non linear Anal,1995, 25( 3): 327-337.
[ 5] Li J, Shen J. Per iodic boundary va lue problem s for second orde r differential equa tions w ith im pulses[ J]. Nonlinear Stud ies,2005, 12( 4): 391-400.
[ 6] K rasnosekiiM A, Zab re iko P P. Geome trica lM e thods of Nonlinea rAnalysis[M ]. New Yo rk: Spr inger-Verlag, 1984.

相似文献/References:

[1]尚旭东,张吉慧.具有低阶项的非局部椭圆及抛物问题的正解(英文)[J].南京师大学报(自然科学版),2008,31(02):8.
　Shang Xudong,Zhang Jihui.Positive Solutions of Elliptic and Parabolic Problems With Nonlocal Lower Order Terms[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(04):8.

备注/Memo

备注/Memo:
Foundation item: Supported by the NNSF( 10571050 ) .
Biography: Chen Yuw en, born in 1965, lecturer, ma jored inm athem at ics edu cation. E-m ail:huaiancyw@ 163. com
更新日期/Last Update: 2013-05-05