On the stability of elasticity constrained rectangular frames.

Aksoy, Aydoğan


On the smoothness of solutions of impulsive autonomous systems
Akhmet, Marat (Elsevier BV, 2005-01-01)
The aim of this paper is to investigate dependence of solutions on parameters for nonlinear autonomous impulsive differential equations. We will specify what continuous, differentiable and analytic dependence of solutions on parameters is, define higher order derivatives of solutions with respect to parameters and determine conditions for existence of such derivatives. The theorem of analytic dependence of solutions on parameters is proved.
On the accuracy of first-order numerical derivatives in multidimensional digital waveguide mesh topologies
Hacıhabiboğlu, Hüseyin; Günel Kılıç, Banu (2008-01-01)
Digital waveguide mesh (DWM) models are numerical solvers for the wave equation in N-dimensions. They are used for obtaining the traveling-wave solution in practical acoustical modeling applications. Although unstructured meshes can be used with DWMs, regular mesh topologies are traditionally used due to their implementation simplicity. This letter discusses the accuracy of first-order approximations to numerical derivatives on more general unstructured mesh topologies. The results are applied to structured...
On disconjugacy and stability criteria for discrete Hamiltonian systems
Mert, R.; Zafer, Ağacık (Elsevier BV, 2011-10-01)
By making use of new Lyapunov type inequalities, we establish disconjugacy and stability criteria for discrete Hamiltonian systems. The stability criteria are given when the system is periodic.
On the convergence of nonlinear plate solutions
Aşık, Mehmet Zülfü (1997-10-01)
In modern buildings, especially in commercial buildings, large glass panels are used as windows. Design of these glass panels is becoming important. Behavior of the thin glass panels is geometrically nonlinear. Thus, analysis needs iterative solution and the solution of nonlinear plate problems with elastic supports necessitates a complete displacement formulation. The authors think that it could be useful to share their experience gained from research on the solution of von Karman equations using lateral d...
On the finite difference approximations to nonlinear partial differential equations.
Utkan, Nurhan; Department of Mathematics (1983)
Citation Formats
A. Aksoy, “On the stability of elasticity constrained rectangular frames.,” Middle East Technical University, 1965.