4 citations · 11 across the 5 of their papers we have counts for
6 papers
On different types of stability for linear delay dynamic equations
Elena Braverman, Basak Karpuz
We provide explicit conditions for uniform stability, global asymptotic stability and uniform exponential stability for dynamic equations with a single delay and a nonnegative coef…
Philos' inequality on time scales and its application in the oscillation theory
Basak Karpuz
In [Bull. Acad. Polon. Sci. Sér. Sci. Math. 29 (1981), no.~7-8, 367--370], Philos proved the following result: Let be an -times diff…
On uniqueness of the Laplace transform on time scales
Basak Karpuz
After introducing the concept of null functions, we shall present a uniqueness result in the sense of the null functions for the Laplace transform on time scales with arbitrary gra…
Basics of Volterra integral equations on time scales
Basak Karpuz
This paper studies existence and uniqueness of solutions to generalized Volterra integral equations. Since our proof for existence and uniqueness does not make use of Banach fixed…
Oscillation and stability of first-order delay differential equations with retarded impulses
Basak Karpuz
In this paper, we study both the oscillation and the stability of impulsive differential equations when not only the continuous argument but also the impulse condition involves del…
Existence and uniqueness of solutions to systems of delay dynamic equations on time scales
Basak Karpuz
The purpose of this paper is to establish Picard-Lindelöf theorem for local uniqueness and existence results for first-order systems of nonlinear delay dynamic equations. In the li…