To the Analysis of Nonlocal Problems of the Theory of Nonlinear Differential Systems

We propose a constructive approach to proving the existence of solutions of operator equations in a Banach space. This approach is applied to the construction and analysis of solutions of matrix Riccati equations bounded on the half-line and not containing a linear term.

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Bibliographic Details
Published in:Differential equations 2022-11, Vol.58 (11), p.1566-1570
Main Author: Laptinskii, V. N.
Format: Article
Language:English
Subjects:
Banach spaces
Difference and Functional Equations
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear systems
Operators (mathematics)
Ordinary Differential Equations
Partial Differential Equations
Riccati equation
Short Communications
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Description
Summary:We propose a constructive approach to proving the existence of solutions of operator equations in a Banach space. This approach is applied to the construction and analysis of solutions of matrix Riccati equations bounded on the half-line and not containing a linear term.
ISSN:0012-2661
1608-3083
DOI:10.1134/S00122661220110131