37 Papers
197 Citations
Elvan Akin is an academic researcher from Missouri University of Science and Technology. The author has contributed to research in topics: Oscillation & Nonlinear system. The author has an hindex of 9, co-authored 37 publications. Previous affiliations of Elvan Akin include University of Minnesota & Kent State University.
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Papers
•Journal Article
Pachpatte Inequalities on Time Scales
TL;DR: In this article, the authors deal with certain dynamic inequalities which provide explicit bounds on the unknown functions and their derivatives and most of the inequalities presented are of comparison or Gronwall type and, more specifically, of Pach- patte type.
Boundary Value Problems For A Differential Equation On A Measure Chain
Elvan Akin
- 01 Jan 2002
TL;DR: In this article, the authors prove existence and uniqueness theorems for solution of the boundary value problem x∆∆(t) = f(t, xσ(t)), x(a) = A, x(σ2(b)) = B for t in a measure chain T. In this paper, we use upper and lower solutions to prove the existence of a solution to this problem.
Oscillation results for a dynamic equation on a time scale
TL;DR: In this article, the authors dedicated their paper to the life of Calvin Ahlbrandt, and their work is dedicated to the Ahlbrbrandt's work. But.
•Journal Article
Exponential Stability in Functional Dynamic Equations On Time Scales
TL;DR: In this article, the exponential stability of the zero solution of a functional dynamic equation on a time scale, a nonempty closed subset of real numbers, is studied. But the approach is based on suitable Lyapunov functionals and certain inequalities.
On nonoscillatory solutions of two dimensional nonlinear delay dynamical systems
Özkan Öztürk,Elvan Akin +1 more
TL;DR: In this article, the classification schemes for nonoscillatory solutions of a class of nonlinear two-dimensional systems of first order delay dynamic equations on time scales were studied and necessary and sufficient conditions were also given in order to show the existence and nonexistence of such solutions.