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Positive solutions of m-point boundary value problems for second order differential equations with an advanced argument
Haier International Training Center, Qingdao, China July 30-August 01
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.153Eighth ACIS International Conference ...
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Yanping Guo, Yunhai Wang, Changlong Yu, "Positive solutions of m-point boundary value problems for second order differential equations with an advanced argument," Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on, vol. 2, pp. 770-773, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007.
 
 
BibTex
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@article{ 10.1109/SNPD.2007.153,
author = {Yanping Guo and Yunhai Wang and Changlong Yu},
title = {Positive solutions of m-point boundary value problems for second order differential equations with an advanced argument},
journal ={Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on},
volume = {2},
year = {2007},
isbn = {0-7695-2909-7},
pages = {770-773},
doi = {http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.153},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on
TI - Positive solutions of m-point boundary value problems for second order differential equations with an advanced argument
SN - 0-7695-2909-7
SP770
EP773
A1 - Yanping Guo,
A1 - Yunhai Wang,
A1 - Changlong Yu,
PY - 2007
KW - null
VL - 2
JA - Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, ACIS International Conference on
ER -
 
Yanping Guo, Hebei University of Science and Technology, China
Yunhai Wang, Hebei University of Science and Technology, China
Changlong Yu, Hebei University of Science and Technology, China
In this paper, by using the fixed point index method, we establish the existence of at least one or at least two positive solutions to m-point boundary value problem for the second order differential equation with an advanced argument

{ u^" (t) + a(t)f(u(h(t))) = 0, t \in (0,1),

u(0) = 0, \sum\limits_{i = 1}^{m - 2} {k_i u(\xi _i ) = u(1),}

where 0 = \xi_0 \le \xi_1 \le \cdot \cdot \cdot \le \xi_{m-2} \le \xi_{m-1} = 1.
Citation:
Yanping Guo, Yunhai Wang, Changlong Yu, "Positive solutions of m-point boundary value problems for second order differential equations with an advanced argument," snpd, vol. 2, pp.770-773, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007
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