General exact solutions of the second-order homogeneous algebraic differential equations

DOI10.1080/03081087.2013.860597zbMath1314.34005OpenAlexW2039287412MaRDI QIDQ2938332

Xiaofang Liu, Qingxiang Xu, Chuanning Song

Publication date: 14 January 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2013.860597

zbMATH Keywords

Drazin inversequadratic matrix equationsecond order algebraic differential equation

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)

Related Items (2)

Characterizations and representations for the Drazin inverse of anti-triangular block operator matrices with index less than two ⋮ Representations for the Drazin inverse of an anti-triangular block operator matrix E with ind(E) ≤ 2

Cites Work

• Solvability of certain quadratic operator equations and representations of Drazin inverses
• The Stable Perturbation of the Drazin Inverse of the Square Matrices
• Characterizations of a Class of Matrices and Perturbation of the Drazin Inverse
• The Drazln inverse and systems of second order linear differential equations
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
• The Index and the Drazin Inverse of Block Triangular Matrices
• Second-Order Systems with Singular Mass Matrix and an Extension of Guyan Reduction

This page was built for publication: General exact solutions of the second-order homogeneous algebraic differential equations