Exponential stability of autonomous differential equations of neutral type. II

A. S. Balandin

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2023), pp. 3-14.

Résumé

In this paper we consider linear differential equations of neutral type. We establish criteria for the solvability of the operator with a derivative in the spaces $L_p$, expressed in terms of the equation parameters, for commensurable delays and for delays linearly independent with respect to integers.

Détail

Mots-clés : neutral equation
Keywords: aftereffect, the Cauchy function, fundamental solution, exponential estimations, exponential stability.

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