Discrete oscillation theorems and weighted focal points for Hamiltonian difference systems with nonlinear dependence on a spectral parameter
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Publication:2344437
DOI10.1016/j.aml.2014.12.003zbMath1315.39007OpenAlexW2000727944MaRDI QIDQ2344437
Julia V. Elyseeva, Ondřej Došlý
Publication date: 15 May 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2014.12.003
oscillation theoremfinite eigenvalueHamiltonian difference systemdiscrete eigenvalue problemweighted focal point
Discrete version of topics in analysis (39A12) Nonlinear ordinary differential operators (34L30) Oscillation theory for difference equations (39A21)
Related Items
Comparative index and Sturmian theory for linear Hamiltonian systems, Comparison Theorems for Weighted Focal Points of Conjoined Bases of Hamiltonian Difference Systems, The comparative index and transformations of linear Hamiltonian differential systems
Cites Work
- Unnamed Item
- Oscillation theorems for discrete symplectic systems with nonlinear dependence in spectral parameter
- A note on relative oscillation theory for symplectic difference systems with general boundary conditions
- Comparative index for solutions of symplectic difference systems
- Generalized oscillation theorems for symplectic difference systems with nonlinear dependence on spectral parameter
- On relative oscillation theory for symplectic eigenvalue problems
- Disconjugacy and transformations for symplectic systems
- Relative oscillation theory for matrix Sturm-Liouville difference equations extended
- An oscillation theorem for discrete eigenvalue problems
- Symmetric three-term recurrence equations and their symplectic structure
- Discrete linear Hamiltonian eigenvalue problems
- Spectral and oscillation theory for general second order Sturm-Liouville difference equations
- Sturmian and spectral theory for discrete symplectic systems
- Discrete Oscillation
- Oscillation theorems for symplectic difference systems
- A Generalized Index Theorem for Monotone Matrix-Valued Functions with Applications to Discrete Oscillation Theory
- Relative Oscillation Theory for Jacobi Matrices
- Relative oscillation theory for Jacobi matrices extended