Email this article Solvability of an Operator Riccati Integral Equation in a Reflexive Banach Space
- Authors: Artamonov N.V.1
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Affiliations:
- MGIMO University
- Issue: Vol 55, No 5 (2019)
- Pages: 718-728
- Section: Integral Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155027
- DOI: https://doi.org/10.1134/S0012266119050124
- ID: 155027
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Abstract
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*).
About the authors
N. V. Artamonov
MGIMO University
Author for correspondence.
Email: nikita.artamonov@gmail.com
Russian Federation, Moscow, 119454
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