Electronic journal of qualitative theory of differential equations · 2005 · 57 citations · 15 references
Natural SciencesMathematicsMechanical EngineeringDifferential EquationsFinite Element AnalysisStructural DynamicsBeam AnalysisBeam TheoryBoundary ConditionsBoundary-value ProblemsExistence TheoryInitial Value ProblemsBoundary Conditions In BeamsBoundary ProblemElliptic Boundary-value ProblemsFree-boundary Problems
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 free at the other end. Some new estimates to the positive solutions to the boundary value problem are obtained. Some sufficient conditions for the existence of at least one positive solution for the boundary value problem are established. An example is given at the end of the paper to illustrate the main results.
15
Positive Solutions of Operator Equations.
A. R. Brodsky, M. A. Krasnosel’skii, Richard E. Flaherty et al. · American Mathematical Monthly · 1967 · 2.1K citations