Positive solutions for secondorder mpoint boundary value problems on time scales  
Li, WT(李万同); Sun, HR(孙红蕊); Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China.  
200611  
Source Publication  ACTA MATHEMATICA SINICAENGLISH SERIES Impact Factor & Quartile 
ISSN  14398516 
Volume  22Issue:6Pages:17971804 
Abstract  Let T be a time scale such that 0, T epsilon T. By means of the Schauder fixed point theorem and analysis method, we establish some existence criteria for positive solutions of the mpoint boundary value problem on time scales u(Delta del)(t) + a(t)f(u(t)) = 0, t is an element of (0,T), beta u(0)  gamma u(Delta)(0) = 0, u(T)  Sigma(m2)(i=1) a(i)u(xi i) = b, m >= 3, where a is an element of Cld ((0,T), [0,infinity)), f is an element of Cld ([0, infinity) x [0, infinity)), beta, gamma is an element of [0, infinity), xi(i) is an element of (0,p(T)), b, a(i) is an element of (0,infinity) (for i = 1,..., m2) are given constants satisfying some suitable hypotheses. We show that this problem has at least one positive solution for sufficiently small b > 0 and no solution for sufficiently large b. Our results are new even for the corresponding differential equation (T = R) and difference equation (T = Z). 
Keyword  time scales positive solution Schauder fixed point theorem 
Subject Area  Mathematics 
Publisher  SPRINGER 
DOI  10.1007/s1011400507485 
Publication Place  HEIDELBERG 
Indexed By  SCIE ; CSCD 
Language  英语 
First Inst  是 
Host of Journal  中国科学院应用数学研究所 
WOS ID  WOS:000241129200024 
CSCD ID  CSCD:2674319 
Subtype  Article 
Department  Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 
Citation statistics 
Cited Times:2[CSCD]
[CSCD Record]

Document Type  期刊论文 
Identifier  https://ir.lzu.edu.cn/handle/262010/117854 
Collection  数学与统计学院 
Corresponding Author  Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China. 
Recommended Citation GB/T 7714  Li, WT,Sun, HR,Li, WT . Positive solutions for secondorder mpoint boundary value problems on time scales[J]. ACTA MATHEMATICA SINICAENGLISH SERIES,2006,22(6):17971804. 
APA  Li, WT,Sun, HR,&Li, WT .(2006).Positive solutions for secondorder mpoint boundary value problems on time scales.ACTA MATHEMATICA SINICAENGLISH SERIES,22(6),17971804. 
MLA  Li, WT,et al."Positive solutions for secondorder mpoint boundary value problems on time scales".ACTA MATHEMATICA SINICAENGLISH SERIES 22.6(2006):17971804. 
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