Geodesic
Uniform exponential stability for evolution families on the half-line
Preda, Petre1 ; Mureşan, Raluca1
1 Department of Mathematics, West University of Timişoara, 4, Blvd. Vasile Parvan, Timişoara, Romania
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 2, p. 68-73.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper we give a characterization for the uniform exponential stability of evolution families $\{\Phi(t; t_0)\}_{t\geq t_0}$ on $\mathbb{R}_+$ that do not have an exponential growth, using the hypothesis that the pairs of function spaces $(L^1(X);L^\infty(X))$ and $(L^p(X);L^q(X)), (p; q) \neq (1;\infty)$, are admissible to the evolution families.
DOI : 10.22436/jnsa.006.02.02
Classification : 34D05, 34D09
Keywords: Evolution family, admissibility, uniform exponential stability.

Preda, Petre 1 ; Mureşan, Raluca 1

1 Department of Mathematics, West University of Timişoara, 4, Blvd. Vasile Parvan, Timişoara, Romania 
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Preda, Petre; Mureşan, Raluca. Uniform exponential stability for evolution families on the half-line. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 2, p. 68-73. doi : 10.22436/jnsa.006.02.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.02.02/

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