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Weighted Averaging Techniques in Oscillation Theory for Second Order Difference Equations
Canadian Mathematical Bulletin, 1992AbstractWe consider the self-adjoint second-order scalar difference equation (1) Δ(rnΔxn) +pnXn+1 = 0 and the matrix system (2) Δ(RnΔXn) + PnXn+1 = 0, where are seQuences of real numbers (d x d Hermitian matrices) with rn > 0(Rn > 0). The oscillation and nonoscillation criteria for solutions of (1) and (2), obtained in [3, 4, 10], are extended ...
Erbe, Lynn H., Yan, Pengxiang
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Linearized Oscillation Theory for a Nonlinear Nonautonomous Difference Equation
2020We review some theorems and mistakes in linearized oscillation results for difference equations with variable coefficients and constant delays, as well as develop linearized oscillation theory when delays are also variable. Main statements are applied to discrete models of population dynamics.
Berezansky, Leonid, KARPUZ, BAŞAK
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Oscillation Theory for Difference and Functional Differential Equations
2000Ravi P. Agarwal +2 more
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Difference Galois theory of linear differential equations
Advances in Mathematics, 2014Lucia Di Vizio, Michael Wibmer
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Differential Galois theory of linear difference equations
Mathematische Annalen, 2008Michael F Singer
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Towards a bifurcation theory for nonautonomous difference equations
Journal of Difference Equations and Applications, 2006Martin Rasmussen
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Logarithmic difference lemma in several complex variables and partial difference equations
Annali Di Matematica Pura Ed Applicata, 2019Tingbin Cao
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A new era of cancer immunotherapy: converting theory to performance
Ca-A Cancer Journal for Clinicians, 1999Steven A Rosenberg
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On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane
Ramanujan Journal, 2008Yik-Man Chiang
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