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£¨1£©Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions£¬
Jiqiang Jiang, Lishan Liu, Yonghong Wu
Advances in Difference Equations 2012, 2012:124
£¨2£©Existence of positive solutions of third-order boundary value problems with integral boundary conditions in Banach spaces£¬
Dan Fu, Wei Ding
Advances in Difference Equations 2013, 2013:65
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Publisher: SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
Web of Science Categories: Mathematics, Applied; Mathematics
Research Areas: Mathematics
IDS Number: 131EG
ISSN: 1687-1847
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Existence of positive solutions of third-order boundary value problems with integral boundary conditions in Banach spaces  
Author(s): Fu, D (Fu, Dan)[ 1 ] ; Ding, W (Ding, Wei)[ 1 ]  
Source: ADVANCES IN DIFFERENCE EQUATIONS    DOI: 10.1186/1687-1847-2013-65   Published: 2013  
Times Cited: 0 (from Web of Science)  
Cited References: 31      [ view related records ]     Citation Map      
Abstract: This paper deals with positive solutions of a third-order differential equation in ordered Banach spaces,

(phi(-x ''(t)))' = f(t,x(t)), t is an element of J,

subject to the following integral boundary conditions:

x(0) = theta, x ''(0) = theta, x(1) = integral(1)(0) g(t)x(t)dt,

where theta is the zero element of E, g is an element of L[0,1] is nonnegative, phi:R -> R is an increasing and positive homomorphism, and phi(0) = theta(1). The arguments are based upon the fixed-point principle in cone for strict set contraction operators. Meanwhile, as an application, we also give an example to illustrate our results.  
Accession Number: WOS:000317974600001  
Document Type: Article  
Language: English  
Author Keywords: positive solutions; boundary-value problem; fixed-point principle; cone; measure of noncompactness  
KeyWords Plus: IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS; DIFFERENTIAL-EQUATIONS; P-LAPLACIAN  
Reprint Address: Ding, W (reprint author)  Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China.
  Organization-Enhanced Name(s)
    Shanghai Normal University  

Addresses:  [ 1 ] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
  Organization-Enhanced Name(s)
    Shanghai Normal University  

E-mail Addresses: dingwei@shnu.edu.cn  
Funding:
Funding Agency Grant Number
NNSF of China  11271261  
Natural Science Foundation of Shanghai  12ZR1421600  
Shanghai municipal education commission  10YZ74  
Shanghai Normal University  DZW912  

[Show funding text][Hide funding text]   

This work was supported by the NNSF of China under Grant (No. 11271261), Natural Science Foundation of Shanghai (No. 12ZR1421600), Shanghai municipal education commission (No. 10YZ74), and Shanghai Normal University Leading Academic Discipline project (No. DZW912).

Publisher: SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND  
Web of Science Categories: Mathematics, Applied; Mathematics  
Research Areas: Mathematics  
IDS Number: 131EG
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