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Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems
In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying...
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Some further results of the laplace transform for variable–order fractional difference equations
The Laplace transform is important for exact solutions of linear differential equations and frequency response analysis methods. In comparison with...
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Pseudo Asymptotically Periodic Solutions for Volterra Difference Equations of Convolution Type
In this paper, the author studies the existence and uniqueness of discrete pseudo asymptotically periodic solutions for nonlinear Volterra difference...
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Stability of Fractional Variable Order Difference Systems
The problem of stability of the Grünwald-Letnikov-type linear fractional variable order discrete-time systems is discussed. As a definition of the...
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Fractional-Order Value Identification of the Discrete Integrator from a Noised Signal. Part I
In the paper we investigate the fractional-order evaluation of the fractional-order discrete integration element. We assume that the input and output...
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Nonuniqueness of implicit lattice Nagumo equation
We consider the implicit discretization of Nagumo equation on finite lattices and show that its variational formulation corresponds in various...
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LebesguE Regularity for Nonlocal Time-Discrete Equations with Delays
In this work we provide a new and effective characterization for the existence and uniqueness of solutions for nonlocal time-discrete equations with...
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New Results in Stability Analysis for Lti Siso Systems Modeled by Gl-Discretized Fractional-Order Transfer Functions
This paper tackles important problems in stable discretization of commensurate fractional-order continuous-time LTI SISO systems based on the...
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Responses comparison of the two discrete-time linear fractional state-space models
In this survey we consider two fractional-order discrete state-space models of linear systems. In both cases the crucial elements are the fundamental...
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Generalized Green’s functions for mth-order discrete nonlocal problems∗
In this paper, we consider m th-order linear discrete problems with m nonlocal conditions. We investigate a generalized Green’s function, describing...
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Weighted bounded solutions for a class of nonlinear fractional equations.
Let T be a bounded linear operator defined on a Banach space X. We investigate the existence of solutions for a class of nonlinear fractional...
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Quasilinearization for nonlinear boundary value problems for delay-type difference equations with maxima
The paper deals with an approximate method for solving a mixed boundary value problem for nonlinear difference equations containing a maximum of the...
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Difference boundary value problem hierarchies and the forward Crum transformation
This paper uses the forward transformation defined in Currie and Love (Adv. Differ. Equ. 2010:947058, 2010) to develop a hierarchy for difference...
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On a linear finite-difference model of a mixed-culture biological system arising in food safety studies
In this work, we introduce a linear finite-difference methodology to approximate non-negative and bounded solutions of a coupled system of nonlinear...
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Generalized Green’s functions for the second-order discrete problems with nonlocal conditions
In this paper, we investigate a generalized discrete Green’s function that describes the general least squares solution of every second-order...
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The Green Function and Optical Field Enhancement in a Multilayered Microsphere with Metamaterial
The radiation of a nanosource placed in a coated microsphere with conventional and metamaterial layers having a negative refraction index (NIM) is...
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A Conjecture by Leon Ehrenpreis About Zeroes of Exponential Polynomials
Leon Ehrenpreis proposed in his 1970 monograph Fourier Analysis in several complex variables the following conjecture: the zeroes of an exponential...