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On the stability analysis of Darboux problem on both bounded and unbounded domains

Canan Çelik, Faruk Develi (2024)

Applications of Mathematics

In this paper, we first investigate the existence and uniqueness of solution for the Darboux problem with modified argument on both bounded and unbounded domains. Then, we derive different types of the Ulam stability for the proposed problem on these domains. Finally, we present some illustrative examples to support our results.

On the stability of neutral-type uncertain systems with multiple time delays

Pin-Lin Liu (2005)

International Journal of Applied Mathematics and Computer Science

The problems of both single and multiple delays for neutral-type uncertain systems are considered. First, for single neutral time delay systems, based on a Razumikhin-type theorem, some delay-dependent stability criteria are derived in terms of the Lyapunov equation for various classes of model transformation and decomposition techniques. Second, robust control for neutral systems with multiple time delays is considered. Finally, we demonstrate numerical examples to illustrate the effectiveness...

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