On the Euler matrix differential equation \(A_ 2t^ 2X+A_ 1tX'+A_ 0X=0\)

DOI10.1016/0893-9659(89)90059-1zbMath0724.34002OpenAlexW2074574988WikidataQ115363005 ScholiaQ115363005MaRDI QIDQ2644813

Lucas Jodar

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90059-1

zbMATH Keywords

Cauchy problemDrazin inverseMoore-Penrose pseudoinverseEuler matrix differential equation

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

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• Boundary-value problems and Cauchy problems for the second-order Euler operator differential equation
• Boundary value problems for second-order differential operator equations
• The Algebraic Theory of Matrix Polynomials
• Method for Solving the Korteweg-deVries Equation

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