Explicit solutions for boundary value problems related to the operator equations \(X^{(2)}-AX=0\)

zbMath0748.34013MaRDI QIDQ1184938

Enrique Navarro, Lucas Jodar

Publication date: 28 June 1992

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/15689

zbMATH Keywords

boundary value problemsCauchy problemsoperator differential equation

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Equations involving linear operators, with operator unknowns (47A62) Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

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• Infinite systems of ordinary differential equations with unbounded coefficients and moment problems
• On the theory of infinite systems of differential equations and their application to the theory of stochastic processes and the perturbation theory of quantum mechanics
• Explicit expressions for Sturm-Liouville operator problems
• Existence and uniqueness theorems for the algebraic Riccati equation
• ON NONISOLATED SINGULAR POINTS OF THE SPECTRUM OF ELLIPTIC OPERATORS
• ON THE SPECTRAL THEORY FOR THE STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENT

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