Contributions to generalized oscillation theory of linear Hamiltonian systems

DOI10.1007/S00025-024-02280-7MaRDI QIDQ6635277

Publication date: 9 November 2024

Published in: Results in Mathematics (Search for Journal in Brave)

linear Hamiltonian system comparative index Sturmian separation theorem Legendre condition dual comparative index generalized left focal point generalized right focal point

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

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Comparative index and Sturmian theory for linear Hamiltonian systems
On symplectic transformations of linear Hamiltonian differential systems without normality
Nabla time scale symplectic systems and related quadratic functionals
Comparative index for solutions of symplectic difference systems
Comparison theorems for conjoined bases of linear Hamiltonian differential systems and the comparative index
Equalities and inequalities for inertias of Hermitian matrices with applications
Sturmian theory for ordinary differential equations
The Maslov index and spectral counts for linear Hamiltonian systems on \([0, 1\)]
Focal points and principal solutions of linear Hamiltonian systems revisited
Singular Sturmian separation theorems on unbounded intervals for linear Hamiltonian systems
On the Yakubovich frequency theorem for linear non-autonomous control processes
Generalized inverses. Theory and applications.
Singular Sturmian comparison theorems for linear Hamiltonian systems
Relative oscillation of linear Hamiltonian differential systems without monotonicity
Comparison theorems for conjoined bases of linear Hamiltonian systems without monotonicity
Distribution and number of focal points for linear Hamiltonian systems
Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
On general Sturmian theory for abnormal linear Hamiltonian systems
Sturmian comparison theorems for completely controllable linear Hamiltonian systems in singular case
The comparative index and transformations of linear Hamiltonian differential systems
Nonautonomous linear-quadratic dissipative control processes without uniform null controllability
Symplectic difference systems: oscillation and spectral theory
Disconjugacy
Hörmander's index and oscillation theory
Solutions with prescribed numbers of focal points of nonoscillatory linear Hamiltonian systems
Rayleigh principle for linear Hamiltonian systems without controllability
Sturmian theory for linear Hamiltonian systems without controllability
Rayleigh principle for time scale symplectic systems and applications
DEFINITENESS OF QUADRATIC FUNCTIONALS
Generalized Inverses of Linear Transformations
Relative oscillation theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter
Generalized focal points and local Sturmian theory for linear Hamiltonian systems
Oscillation numbers for continuous Lagrangian paths and Maslov index

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