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Green Matrix Estimates of Block Jacobi Matrices I: Unbounded Gap in the Essential Spectrum
This work deals with decay bounds for Green matrices and generalized eigenvectors of block Jacobi matrices when the real part of the spectral...
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A Remark on the Convergence of the Douglas–Rachford Iteration in a Non-convex Setting
Using a known construction of a Lyapunov function, it is shown that the Douglas–Rachford iteration with respect to a sphere and a line in a Hilbert...
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Integrable deformations of the Bogoyavlenskij–Itoh Lotka–Volterra systems
We construct a family of integrable deformations of the Bogoyavlenskij–Itoh systems and construct a Lax operator with spectral parameter for it. Our...
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On time transformations for differential equations with state-dependent delay
Systems of differential equations with state-dependent delay are considered. The delay dynamically depends on the state, i.e. is governed by an...
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Results on meromorphic solutions of linear difference equations
In this paper, we investigate meromorphic solutions of linear difference equations and prove a number of results. We give estimates for the growth of...
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Global stabilization in nonlinear discrete systems with time-delay
A class of scalar nonlinear difference equations with delay is considered. Sufficient conditions for the global asymptotic stability of a unique...