Differential Equations

, Volume 55, Issue 5, pp 718–728 | Cite as

Solvability of an Operator Riccati Integral Equation in a Reflexive Banach Space

  • N. V. ArtamonovEmail author
Integral Equations


We show that if X is a reflexive Banach space, then a nonautonomous operator Riccati integral equation has a unique strongly continuous self-adjoint nonnegative solution P(t)L(X,X*).


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.MGIMO UniversityMoscowRussia

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