Transformations and the number of focal points for conjoined bases of symplectic difference systems

DOI10.1080/10236190902862204zbMath1178.39002OpenAlexW2142063759MaRDI QIDQ3644270

Julia V. Elyseeva

Publication date: 3 November 2009

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190902862204

zbMATH Keywords

focal pointscomparative indexsymplectic difference systemreciprocity principlenonoscillatorysymplectic transformationSturm-Liouville second order difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Linear difference equations (39A06) Oscillation theory for difference equations (39A21)

Related Items

Focal points and recessive solutions of discrete symplectic systems, Relative oscillation theory for matrix Sturm-Liouville difference equations extended, Oscillation and conjugacy criteria for two-dimensional symplectic difference systems, Generalized oscillation theorems for symplectic difference systems with nonlinear dependence on spectral parameter, Comparison theorems for symplectic systems of difference equations, Symmetric three-term recurrence equations and their symplectic structure, Oscillation theorems for discrete symplectic systems with nonlinear dependence in spectral parameter, Recessive solutions for nonoscillatory discrete symplectic systems, Singular Sturmian separation theorems for nonoscillatory symplectic difference systems, On symplectic transformations of linear Hamiltonian differential systems without normality, Singular comparison theorems for discrete symplectic systems, An approach for computing eigenvalues of discrete symplectic boundary-value problems, A note on relative oscillation theory for symplectic difference systems with general boundary conditions, On relative oscillation theory for symplectic eigenvalue problems, An oscillation criterion for discrete trigonometric systems, Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter, The comparative index and transformations of linear Hamiltonian differential systems

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