Principal solutions at infinity of given ranks for nonoscillatory linear Hamiltonian systems
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Publication:2340289
DOI10.1007/s10884-014-9389-7zbMath1348.37091OpenAlexW2010502737MaRDI QIDQ2340289
Peter Šepitka, Roman Šimon Hilscher
Publication date: 16 April 2015
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-014-9389-7
controllabilitylinear Hamiltonian systemprincipal solution at infinityorder of abnormalityminimal principal solution
Controllability (93B05) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)
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Cites Work
- Dynamical methods for linear Hamiltonian systems with applications to control processes
- Some remarks concerning weakly disconjugate linear Hamiltonian systems
- Picone type identities and definiteness of quadratic functionals on time scales
- Nehari-type oscillation criteria for selfadjoint linear differential equations
- Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
- On general Sturmian theory for abnormal linear Hamiltonian systems
- Principal solutions of nonoscillatory linear differential systems
- Disconjugacy
- Principal and antiprincipal solutions of selfadjoint differential systems and their reciprocals
- Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems
- Rayleigh principle for linear Hamiltonian systems without controllability
- Sturmian theory for linear Hamiltonian systems without controllability
- Oscillation and Asymptotic Behavior of Systems of Ordinary Linear Differential Equations
- DEFINITENESS OF QUADRATIC FUNCTIONALS
- Oscillation Criteria for Self-Adjoint Linear Differential Equations
- Principal Solutions Revisited
- Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems
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