Oscillation and spectral theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter

DOI10.1002/mana.201100172zbMath1254.34119OpenAlexW2166789854MaRDI QIDQ2909653

Werner Kratz, Martin J. Bohner, Roman Šimon Hilscher

Publication date: 6 September 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100172

zbMATH Keywords

normalitylinear Hamiltonian systemquadratic functionaloscillation theoremproper focal pointconjoined basisfinite eigenvalueself-adjoint eigenvalue problem

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Boundary eigenvalue problems for ordinary differential equations (34B09)

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Cites Work

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• Eigenvalue and oscillation theorems for time scale symplectic systems
• Applications of time scale symplectic systems without normality
• Riccati equations for abnormal time scale quadratic functionals
• Riccati differential equations
• Sturmian theory for linear Hamiltonian systems without controllability
• Oscillation and spectral theory for symplectic difference systems with separated boundary conditions
• On the Eigenvalue Accumulation of Sturm-Liouville Problems Depending Nonlinearly on the Spectral Parameter
• DEFINITENESS OF QUADRATIC FUNCTIONALS
• Oscillation theorems for symplectic difference systems

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