Kostin-type criterion for abstract linear differential equations of arbitrary order in banach spaces

  • Ya. V. Horbatenko

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.
Published
25.06.2010
How to Cite
HorbatenkoY. V. “Kostin-Type Criterion for Abstract Linear Differential Equations of Arbitrary Order in Banach Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 6, June 2010, pp. 860 -, https://umj.imath.kiev.ua/index.php/umj/article/view/2918.
Section
Short communications