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
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.156
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 Usage of this product signifies your acceptance of the Terms of Use. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||