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Zhang Xingqiu, Existence of positive solution for second-order nonlinear impulsive singular differential equations of mixed type in Banach spaces£¬ Nonlinear Analysis, 2009, 70 1620¨C1628.
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zhangxq123(½ð±Ò+5): 2010-03-08 21:01
FN ISI Export Format
VR 1.0
PT  J
AU  Zhang, XQ
AF  Zhang, Xingqiu
TI  Existence of positive solution for second-order nonlinear impulsive singular differential equations of mixed type in Banach spaces
SO  NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
LA  English
DT  Article
DE  Impulsive singular integro-differential equation; Measure of noncompactness; Schauder fixed point theorem; Banach space
ID  INITIAL-VALUE PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; GLOBAL-SOLUTIONS
AB  In this paper, by constructing a closed convex set and using the fixed point theory of completely continuous operators, we investigate the existence of positive solutions for ail initial value problem of second-order nonlinear impulsive singular integro-differential equations in a Banach space. The method used in this paper is, different from that in the literature. (C) 2008 Elsevier Ltd. All rights reserved.
C1  Liaocheng Univ, Sch Math, Liaocheng 252059, Shandong, Peoples R China.
RP  Zhang, XQ, Liaocheng Univ, Sch Math, Liaocheng 252059, Shandong, Peoples R China.
EM  zhxq197508@163.com
FU  National Natural Science Foundation of China [10671167]; Natural Science Foundation of Liaocheng University [31805]
FX  The project is supported financially by the National Natural Science Foundation of China (10671167) and the Natural Science Foundation of Liaocheng University (31805).
NR  9
TC  0
PU  PERGAMON-ELSEVIER SCIENCE LTD
PI  OXFORD
PA  THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
SN  0362-546X
J9  NONLINEAR ANAL-THEOR METH APP
JI  Nonlinear Anal.-Theory Methods Appl.
PD  FEB 15
PY  2009
VL  70
IS  4
BP  1620
EP  1628
DI  10.1016/j.na.2008.02.038
PG  9
SC  Mathematics, Applied; Mathematics
GA  400SG
UT  ISI:000262888300013
ER  

--------------------------------------------------------------------------------
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2Â¥2010-03-08 20:54:32
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fred7125

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zhangxq123(½ð±Ò+1): 2010-03-08 21:02
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zhangxq123

ľ³æ (СÓÐÃûÆø)

лл

ÇëÂ¥ÉϵĴóÏÀÔÚ°ïæ²éXingqiu Zhang£¬Existence of positive solutions for multi-point boundary value problems on infinite intervals in Banach spaces£¬Applied Mathematics and Computation 206 (2008) 932¨C941£»
4Â¥2010-03-08 21:02:02
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wyj6133

ľ³æ (ÕýʽдÊÖ)

zhangxq123(½ð±Ò+3): 2010-03-09 08:46
FN ISI Export Format
VR 1.0
PT  J
AU  Zhang, XQ
AF  Zhang, Xingqiu
TI  Existence of positive solutions for multi-point boundary value problems on infinite intervals in Banach spaces
SO  APPLIED MATHEMATICS AND COMPUTATION
LA  English
DT  Proceedings Paper
CT  2nd International Conference on Modeling, Simulation, and Applied Optimization
CY  MAR 24-27, 2007
CL  Abu Dhabi, U ARAB EMIRATES
SP  Abu Dhahi Natl Oil Co, Amer Univ Sharjah, IEEE, UAE Sect, Soc Petroleum Engn
HO  Petroleum Inst
DE  Singular differential equation; Cone and ordering; Positive solutions; Monch fixed point theorem; Measure of non-compactness
ID  M-POINT BOUNDARY; SOLVABILITY; EQUATIONS
AB  In this paper, the cone theory and Monch fixed point theorem combined with a monotone iterative technique are used to investigate the positive solutions of a class of boundary problems for second-order nonlinear singular differential equations with multi-point boundary value conditions on an infinite interval in Banach spaces. The conditions for the existence of a positive solution are established. In addition, an explicit iterative approximation of the solution for the boundary value problem is also derived. (c) 2008 Elsevier Inc. All rights reserved.
C1  Liaocheng Univ, Sch Math, Liaocheng 252059, Shandong, Peoples R China.
RP  Zhang, XQ, Liaocheng Univ, Sch Math, Liaocheng 252059, Shandong, Peoples R China.
EM  Zhxq197508@163.com
CR  DEMLING K, 1977, ORDINARY DIFFERENTIA
FENG W, 1997, J MATH ANAL APPL, V212, P467
GUO DJ, 1988, NONLINEAR PROBLEMS A
GUO DJ, 1996, NONLINEAR INTEGRAL E
GUO DJ, 2008, NONLINEAR ANAL-THEOR, V68, P2727, DOI 10.1016/j.na.2007.02.019
GUPTA CP, 1992, J MATH ANAL APPL, V168, P540
LAKSHMIKANTHAM V, 1981, NONLINEAR DIFFERENTI
LIU B, 2005, J MATH ANAL APPL, V305, P253, DOI 10.1016/j.jmaa.2004.11.037
LIU YS, 2003, APPL MATH COMPUT, V135, P569
MA RY, 2001, J MATH ANAL APPL, V256, P556
SUN JX, 2008, NONLINEAR ANAL-THEOR, V68, P3034, DOI 10.1016/j.na.2007.02.043
XU X, 2004, J MATH ANAL APPL, V291, P352, DOI 10.1016/j.jmaa.2003.11.009
ZHANG GW, 2004, J MATH ANAL APPL, V291, P406, DOI 10.1016/j.jmaa.2003.11.034
ZHANG XG, 2007, APPL MATH COMPUT, V194, P321
ZHAO YL, 2008, J COMPUT APPL MATH, V215, P79
NR  15
TC  1
PU  ELSEVIER SCIENCE INC
PI  NEW YORK
PA  360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
SN  0096-3003
J9  APPL MATH COMPUT
JI  Appl. Math. Comput.
PD  DEC 15
PY  2008
VL  206
IS  2
SI  Sp. Iss. SI
BP  932
EP  941
DI  10.1016/j.amc.2008.10.012
PG  10
SC  Mathematics, Applied
GA  383PY
UT  ISI:000261686800049
ER
5Â¥2010-03-08 22:32:32
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wyj6133

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zhangxq123(½ð±Ò+1): 2010-03-09 08:46
ISI:000261686800049

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