A variation-of-constants formula for a linear abstract evolution equation in Hilbert space

• Autores: Hanzhong Wu
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 44, Nº 4, 2003, págs. 583-590
• Idioma: inglés
• DOI: 10.1017/s1446181100012943
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• Resumen

  • A variation-of-constants formula is obtained for a linear abstract evolution equation in Hilbert space with unbounded perturbation and free term. As an application, the state of the abstract controlled system with unbounded mixed controls is explicitly given.