Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing (SNPD 2007) Positive Solutions for Quasilinear Second Order Differential Equation Haier International Training Center, Qingdao, China July 30-August 01 ISBN: 0-7695-2909-7
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SNPD.2007.158
It is well known that Krasnosel?skii fixed point theorem is very important. It was extensively used for studying the boundary value problems. In this paper, Krasnosel?skii fixed point theorem is extended. A new fixed point theorem is obtained. The second order quasilinear differential equation (\Phi(y'))' + a(t)f(t, y, y') = 0, 0 \le t \le 1 subject to Dirichlet boundary condition is studied, where f is a nonnegative continuous function, \Phi(v) = |v|^{p-2}v, p \ge 1. We show the existence of at least one positive solution by using the new fixed point theorem in cone.
Citation:
Shijie Dong, Zhifeng Gao, Yunhai Wang, "Positive Solutions for Quasilinear Second Order Differential Equation," snpd, vol. 3, pp.77-80, 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. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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