Abstract
We study displacement of a uniform elastic beam subject to various physically important boundary conditions. Using monotone methods, we discuss stability and instability of solutions. We present computations, which suggest efficiency of monotone methods for fourth order boundary value problems.
Highlights
We study the displacement curve u u(x) of a uniform elastic beam of length
6, supporting a distributed load of intensity q(x,u(x)). This load causes the beam to bend from its equilibrium configuration along the x-axis
That is we study the equation (l.l) with appropriate two-point boundary conditions
Summary
We study the displacement curve u u(x) of a uniform elastic beam of length6, supporting a distributed load of intensity q(x,u(x)). In [3] we applied monotone methods to general inverse-positive problems, P. Most of the results in this paper were stimulated by computations (and the Fast convergence that we encountered). GENERAL RESULTS The following theorem was proved in [3].
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