Functional Differential and Difference Equations with Applications 2013

Diblik, J.
Braverman, E.
Gyori, I.
Rogovchenko, Yu.
Ruzickova, M.
Zafer, Ağacık


Dosi, Anar (American Mathematical Society (AMS), 2011-02-01)
In the present paper we introduce quantum measures as a concept of quantum functional analysis and develop the fractional space technique in the quantum (or local operator) space framework. We prove that each local operator algebra (or quantum *-algebra) has a fractional space realization. This approach allows us to formulate and prove a noncommutative Albrecht-Vasilescu extension theorem, which in turn solves the quantum moment problem.
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes
Lefloch, Philippe G.; Okutmuştur, Baver; Neves, Wladimir (Springer Science and Business Media LLC, 2009-07-01)
Following Ben-Artzi and LeFloch, we consider nonlinear hyperbolic conservation laws posed on a Riemannian manifold, and we establish an L (1)-error estimate for a class of finite volume schemes allowing for the approximation of entropy solutions to the initial value problem. The error in the L (1) norm is of order h (1/4) at most, where h represents the maximal diameter of elements in the family of geodesic triangulations. The proof relies on a suitable generalization of Cockburn, Coquel, and LeFloch's theo...
Nonlinear oscillation of second-order dynamic equations on time scales
Anderson, Douglas R.; Zafer, Ağacık (Elsevier BV, 2009-10-01)
Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and the Young inequality. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.
Hilbert functions of Gorenstein monomial curves
Arslan, Feza; Mete, Pinar (American Mathematical Society (AMS), 2007-01-01)
It is a conjecture due to M. E. Rossi that the Hilbert function of a one-dimensional Gorenstein local ring is non-decreasing. In this article, we show that the Hilbert function is non-decreasing for local Gorenstein rings with embedding dimension four associated to monomial curves, under some arithmetic assumptions on the generators of their de. ning ideals in the non-complete intersection case. In order to obtain this result, we determine the generators of their tangent cones explicitly by using standard b...
Global existence and boundedness for a class of second-order nonlinear differential equations
Tiryaki, Aydin; Zafer, Ağacık (Elsevier BV, 2013-09-01)
In this paper we obtain new conditions for the global existence and boundedness of solutions for nonlinear second-order equations of the form
Citation Formats
J. Diblik, E. Braverman, I. Gyori, Y. Rogovchenko, M. Ruzickova, and A. Zafer, “Functional Differential and Difference Equations with Applications 2013,” ABSTRACT AND APPLIED ANALYSIS, pp. 0–0, 2014, Accessed: 00, 2020. [Online]. Available: