Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 19, pp. 1-9. Title: Existence of positive solutions for systems of bending elastic beam equations Authors: Ping Kang (Tianjin Polytechnic Univ., China) Zhongli Wei (Shandong Univ., Jinan, China) Abstract: This article discusses the existence of positive solutions for systems of bending elastic beam equations. In mechanics, the problem describes the deformations of two elastic beams in equilibrium state, whose two ends are simply supported. Submitted September 5, 2011. Published January 31, 2012. Math Subject Classifications: 34B15, 39A10. Key Words: Positive solutions; fixed points; cone.