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Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007)
LATEX The existence of positive solutions for multi-point BVPs with dependence on the first order derivative
Haier International Training Center, Qingdao, China
July 30-August 01
ISBN: 0-7695-2909-7
Weihua Jiang, Hebei University of Science and Technology, China
Bin Wang, Hebei Professional and Technological College of Chemical and Pharmaceutical Engineering, China
Xiumin Li, Hebei University of Science and Technology, China
In this paper, we study the second-order m-point boundary value problem with dependence on the first order derivative

x"(t) + f(t,x(t),x'(t)) = 0, 0 \leqslant t \leqslant 1, x(0) = 0,

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

where k_i \ge 0, i = 1,2,...,m-2,0 \le \xi_1 \le \xi_2 \le \cdot \cdot \cdot \le \xi_{m-2} \le 1. We impose growth conditions on f which yield the existence of at least one positive solution by using a new fixed point theorem.

Citation:
Weihua Jiang, Bin Wang, Xiumin Li, "LATEX The existence of positive solutions for multi-point BVPs with dependence on the first order derivative," snpd, vol. 3, pp.413-416, Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007), 2007
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