Positive solutions for the beam equation under certain boundary conditions
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Date
2005-07-08
Authors
Yang, Bo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We consider a boundary-value problem for the beam equation, in which the boundary conditions mean that the beam is embedded at one end and fastened with a sliding clamp at the other end. Some priori estimates to the positive solutions for the boundary-value problem are obtained. Sufficient conditions for the existence and nonexistence of positive solutions for the boundary-value problem are established.
Description
Keywords
Fixed point theorem, Cone, Nonlinear boundary-value problems, Positive solutions
Citation
Yang, B. (2005). Positive solutions for the beam equation under certain boundary conditions. <i>Electronic Journal of Differential Equations, 2005</i>(78), pp. 1-8.
Rights
Attribution 4.0 International