Positive solutions for the beam equation under certain boundary conditions
Texas State University-San Marcos, Department of Mathematics
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.
Fixed point theorem, Cone, Nonlinear boundary-value problems, Positive solutions
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.
Attribution 4.0 International