Robustness with respect to small delays for exponential stability of abstract differential equations in Banach spaces

• Autores: F. Guo, B. Tang, F. Huang
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 47, Nº 4, 2006, págs. 555-568
• Idioma: inglés
• DOI: 10.1017/s1446181100010130
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• Resumen

  • This paper is concerned with robustness with respect to small delays for the exponential stability of abstract differential equations in Banach spaces. Some necessary and sufficient conditions are given in terms of the uniformly square integrability of the fundamental operator family and the uniform boundedness of its resolvent on the imaginary axis.