A new approach for second-order linear matrix descriptor differential equations of Apostol-Kolodner type

DOI10.1002/mma.2824zbMath1292.34004OpenAlexW2126331951MaRDI QIDQ2870739

Athanasios D. Karageorgos, Athanasios A. Pantelous, Grigoris I. Kalogeropoulos

Publication date: 21 January 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2824

zbMATH Keywords

matrix pencilWeierstrass canonical formsecond-order linear matrix descriptor differential equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (6)

Efficient numerical integration of \(N\)th-order non-autonomous linear differential equations ⋮ Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations: an algebraic approach ⋮ Regularization and index reduction for linear differential-algebraic systems ⋮ Observability of linear discrete-time systems of algebraic and difference equations ⋮ Response determination of linear dynamical systems with singular matrices: a polynomial matrix theory approach ⋮ An efficient method based on operational matrices of Bernoulli polynomials for solving matrix differential equations

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