Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations

Author(s)

Stability, Boundedness, and Square Integrability of Solutions of Neutral Fourth-Order Differential Equations Mebrouk Rahmane

The purpose of this paper is to establish a new result, which guarantees the asymptotic stability and boundedness of the zero solution and the square integrability of solutions and their derivatives to neutral type nonlinear differential equations of fourth-order. We illustrate our results by an example at the end of the paper.

DOI: 10.52737/18291163-2019.11.10-1-17 Armenian Journal of Mathematics, 11(10) 1-17

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Keywords

Lyapunov Functional, Neutral Differential Equations of Fourth Order, Uniform Asymptotic Stability, Square Integrability

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