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

DOI10.1080/03081087.2015.1071314zbMath1342.34079OpenAlexW4247259847MaRDI QIDQ2805686

Lili He, Qingxiang Xu, Chuanning Song

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1071314

zbMATH Keywords

Drazin inversealgebraic differential equationpositive semi-definite operator

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear differential equations in abstract spaces (34G10)

Related Items

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

• Unnamed Item
• Some results on the \((2, 2, 0)\) Drazin inverse problem
• Damped oscillations of linear systems. A mathematical introduction
• The \((2,2,0)\) group inverse problem
• A note on the Drazin inverse of an anti-triangular matrix
• Targeted energy transfers in vibro-impact oscillators for seismic mitigation
• Generalized Drazin inverses of anti-triangular block matrices
• An approach to stiffness-damping simultaneous optimization
• The \((2,2,0)\) Drazin inverse problem
• The group inverse of \(2 \times 2\) matrices over a ring
• Representations for the group inverse of anti-triangular block operator matrices
• Positive semi-definite matrices of adjointable operators on Hilbert \(C^{*}\)-modules
• Inverse problems for damped vibrating systems
• The Drazln inverse and systems of second order linear differential equations
• Second-Order Systems with Singular Mass Matrix and an Extension of Guyan Reduction
• On critical viscous damping determination in linear discrete dynamic systems