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Stability, boundedness, and square integrability of solutions to third order neutral differential equations with delay

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Abstract

In this paper, the asymptotic behavior of solutions of a class of non-autonomous third order neutral delay differential equations is studied. Results on the stability, boundedness, and the square integrability of solutions and their derivatives are obtained. An example to illustrate the results is included.

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Acknowledgements

J. R. Graef’s research was supported in part by a University of Tennessee at Chattanooga SimCenter—Center of Excellence in Applied Computational Science and Engineering (CEACSE) grant.

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Khatir, A.M., Graef, J.R. & Remili, M. Stability, boundedness, and square integrability of solutions to third order neutral differential equations with delay. Rend. Circ. Mat. Palermo, II. Ser 69, 823–836 (2020). https://doi.org/10.1007/s12215-019-00438-9

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