Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces
Abstract
We consider linear differential equations with operator coefficients in a Banach space. We construct necessary and sufficient conditions for the well-posedness of the Cauchy problem for these equations of arbitrary order that are analogous to the Kostin conditions for incomplete equations of the second order.
English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 6, pp 997-1003.
Citation Example: Horbatenko Ya. V. Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces // Ukr. Mat. Zh. - 2010. - 62, № 6. - pp. 860 – 864.
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