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Existences of Solutions for Second-Order Impulsive Differential Equations With Boundary Value Problems(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2007年04期
Page:
28-31
Research Field:
数学
Publishing date:

Info

Title:
Existences of Solutions for Second-Order Impulsive Differential Equations With Boundary Value Problems
Author(s):
Chen Yuwen1Li 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
Keywords:
im pu lsive d ifferent ial equat ion s boundary value p rob lem s f ixed po int theorem
PACS:
O175.8
DOI:
-
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

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.

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Last Update: 2013-05-05