Boundary-value problems and Cauchy problems for the second-order Euler operator differential equation

DOI10.1016/0024-3795(87)90056-5zbMath0624.34014OpenAlexW1976514517WikidataQ115364355 ScholiaQ115364355MaRDI QIDQ1092208

Lucas Jodar

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90056-5

zbMATH Keywords

second order Euler equation with operator coefficientsspace of bounded operators on a Hilbert space

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Functional equations for functions with more general domains and/or ranges (39B52) Linear differential equations in abstract spaces (34G10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (6)

On the Euler matrix differential equation \(A_ 2t^ 2X+A_ 1tX'+A_ 0X=0\) ⋮ Algebraic and differential operator equations ⋮ On the nonhomogeneous second-order Euler operator differential equation: Explicit solutions ⋮ Unnamed Item ⋮ Solving algebraic and differential Riccati operator equations ⋮ Boundary value problems for coupled systems of second order differential equations with a singularity of the first kind: Explicit solutions

Cites Work

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• On factorization of operator polynomials and analytic operator functions
• Operators which are annihilated by analytic functions and invariant subspaces
• Boundary value problems for second-order differential operator equations
• Solving Linear Operator Equations
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix

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