Delay independent stability for some partial functional differential equations with infinite delay under the light of positivity

Author:

Ezzinbi Khalil,Rhali Soumia Lalaoui

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Modeling and Simulation,Numerical Analysis

Reference26 articles.

1. Adimy, M., Bouzahir, H., Ezzinbi, K.: Local existence and stability for some partial functional differential equations with infinite delay. Nonlinear Anal. 48, 323–348 (2002)

2. Adimy, M., Bouzahir, H., Ezzinbi, K.: Existence for a class of partial functional differential equations with infinite delay. Nonlinear Anal. Ser. A Theory Methods 46, 91–112 (2001)

3. Adimy, M., Ezzinbi, K.: Local existence and linearized stability for partial functional differential equations. Dyn. Syst. Appl. 7, 389–404 (1998)

4. Arendt, W.: Resolvent positive operator and integrated semigroups. Proc. Lond. Math. Soc. 3, 321–349 (1987)

5. Arendt, W.: Spectrum and growth of positive operators. In: Ferreya, G., Goldstein, G., Ruiz Neubrander, F. (eds.) “Evolution Equations” lecture notes in pure and applied mathematics, vol. 168, pp. 21–28. Marcel Dekker, New York City (1995)

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