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Construction stochastic difference equations connecting results of supervision of instant values of dynamic processes described by special equation Ricatti, is considered.
A. S. Ovsienko +1 more
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Existence and Stability Analysis for Fractional Impulsive Caputo Difference-Sum Equations with Periodic Boundary Condition [PDF]
In this paper, by using the Banach contraction principle and the Schauder’s fixed point theorem, we investigate existence results for a fractional impulsive sum-difference equations with periodic boundary conditions.
Rujira Ouncharoen +2 more
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Nontrivial Solutions for a System of Fractional q-Difference Equations Involving q-Integral Boundary Conditions [PDF]
In this paper, we study the existence of nontrivial solutions for a system of fractional q-difference equations involving q-integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue ...
Jiafa Xu +3 more
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Transformations of Difference Equations II
This is an extension of the work done by Currie and Love (2010) where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with non-eigenparameter-dependent boundary conditions at the end points.
Sonja Currie, Anne D. Love
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Dynamics of General Class of Difference Equations and Population Model with Two Age Classes [PDF]
In this paper, we study the qualitative behavior of solutions for a general class of difference equations. The criteria of local and global stability, boundedness and periodicity character (with period 2 k ) of the solution are established ...
Dimplekumar Chalishajar +3 more
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Difference–Differential Equations [PDF]
THE general linear homogeneous difference–differential equation with constant coefficients is where 0 ⩽ μ ⩽m, 0⩽ν ⩽ n, y(ν)(t) is the ν-th derivative of the unknown function y (t) and 0 = b0 bm, if amn≠ 0. (2) Was first given by Hilb8, but under conditions which would exclude most of the applications.
openaire +1 more source
This article is to investigate the existence of entire solutions of several quadratic trinomial difference equations f(z+c)2+2αf(z)f(z+c)+f(z)2=eg(z), and the partial differential difference equations f(z+c)2+2αf(z+c)∂f(z)∂z1+∂f(z)∂z12=eg(z),f(z+c)2+2αf ...
Hong Li, Hongyan Xu
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Fractional Order Difference Equations
A difference equation is a relation between the differences of a function at one or more general values of the independent variable. These equations usually describe the evolution of certain phenomena over the course of time. The present paper deals with
J. Jagan Mohan, G. V. S. R. Deekshitulu
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Sixteen practically solvable systems of difference equations [PDF]
[[abstract]]Closed-form formulas for general solutions to sixteen hyperbolic-cotangent-type systems of difference equations of interest are obtained, showing their practical solvability and completely solving a solvability problem for some concrete ...
Stevi, Stevo;Stevic, Stevo
core
Dirichlet and Neumann Boundary Value Problems for Dunkl Polyharmonic Equations [PDF]
Dunkl operators are a family of commuting differential–difference operators associated with a finite reflection group. These operators play a key role in the area of harmonic analysis and theory of spherical functions.
Valery Karachik, Hongfen Yuan
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