On disconjugacy and stability criteria for discrete Hamiltonian systems

Mert, R.
Zafer, Ağacık
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 periodic solutions of differential equations with piecewise constant argument
Akhmet, Marat (Elsevier BV, 2008-10-01)
The periodic quasilinear system of differential equations with small parameter and piecewise constant argument of generalized type [M.U. Akhmet, Integral manifolds of differential equations with piecewise constant argument of generalized type, Nonlinear Anal. TMA, 66 (2007) 367-383, M.U. Akhmet, On the reduction principle for differential equations with piecewise argument of generalized type, J. Math. Anal. Appl. 336 (2007) 646-663] is addressed. We consider the critical case, when associated linear homogen...
Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations
ÖZBEKLER, ABDULLAH; Zafer, Ağacık (Elsevier BV, 2011-02-01)
New oscillation criteria are obtained for second order forced mixed nonlinear impulsive differential equations of the form
On the foundations of parameter estimation for generalized partial linear models with B-splines and continuous optimization
TAYLAN, PAKİZE; Weber, Gerhard Wilhelm; Liu, Lian; Yerlikaya-Ozkurt, Fatma (Elsevier BV, 2010-07-01)
Generalized linear models are widely used in statistical techniques. As an extension, generalized partial linear models utilize semiparametric methods and augment the usual parametric terms with a single nonparametric component of a continuous covariate. In this paper, after a short introduction, we present our model in the generalized additive context with a focus on the penalized maximum likelihood and the penalized iteratively reweighted least squares (P-IRLS) problem based on B-splines, which is attract...
Manguoğlu, Murat (Society for Industrial & Applied Mathematics (SIAM), 2019-01-01)
We propose a two-level nested preconditioned iterative scheme for solving sparse linear systems of equations in which the coefficient matrix is symmetric and indefinite with a relatively small number of negative eigenvalues. The proposed scheme consists of an outer minimum residual (MINRES) iteration, preconditioned by an inner conjugate gradient (CG) iteration in which CG can be further preconditioned. The robustness of the proposed scheme is illustrated by solving indefinite linear systems that arise in t...
Asymptotic behavior of linear impulsive integro-differential equations
Akhmet, Marat; YILMAZ, Oğuz (Elsevier BV, 2008-08-01)
Asymptotic equilibria of linear integro-differential equations and asymptotic relations between solutions of linear homogeneous impulsive differential equations and those of linear integro-differential equations are established. A new Gronwall-Bellman type lemma for integro-differential inequalities is proved. An example is given to demonstrate the validity of one of the results.
Citation Formats
R. Mert and A. Zafer, “On disconjugacy and stability criteria for discrete Hamiltonian systems,” COMPUTERS & MATHEMATICS WITH APPLICATIONS, pp. 3015–3026, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52449.