Geodesic
Stabilization of solutions to a differential-delay equation in a Banach space
Annales Polonici Mathematici, Tome 65 (1996) no. 3, pp. 271-281

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.
DOI : 10.4064/ap-65-3-271-281
Keywords: abstract differential-delay equation, dependence on parameter, uniform stability

J. Koliha 1 ; Ivan Straškraba 1

1 
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J. Koliha; Ivan Straškraba. Stabilization of solutions to a differential-delay equation in a Banach space. Annales Polonici Mathematici, Tome 65 (1996) no. 3, pp. 271-281. doi: 10.4064/ap-65-3-271-281

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