Global existence for an abstract Riccati initial-value problem with possibly unbounded coefficients

DOI10.1016/0022-247X(92)90329-CzbMath0754.34063OpenAlexW2033555896MaRDI QIDQ1191774

S. Singh

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90329-c

zbMATH Keywords

iterative methodglobal existencetransport theoryoperator-valued Riccati initial-value problemstrongly mild solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Related Items (1)

A survey of nonsymmetric Riccati equations

Cites Work

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• A direct study of the Riccati equation arising in hyperbolic boundary control problems
• Quelques résultats d'existence, unicité et régularité pour un problème de la théorie du contrôle
• Sur l'étude directe d'équations non linéaires intervenant en théorie du contrôle optimal
• Initial value methods for boundary value problems. Theory and application of invariant imbedding
• Sur l'équation de Riccati associé a des opérateurs non bornés, en dimension infinie
• Riccati Equation Arising in a Boundary Control Problem with Distributed Parameters
• Existence and uniqueness results for a nonlinear integrodifferential initial-value problem arising in transport theory
• Strong Solutions for Infinite-Dimensional Riccati Equations Arising in Transport Theory
• The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators
• Riccati Equations for Hyperbolic Partial Differential Equations with $L_2 (0,T;L_2 (\Gamma ))$—Dirichlet Boundary Terms
• The Linear Quadratic Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators
• Abstract Riccati equations in an L¹ space of finite measure and applications to transport theory
• Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis
• The Quadratic Criterion for Distributed Systems

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