Results 21 to 30 of about 304,833 (302)
Stabilization of company’s income modeled by a system of discrete stochastic equations [PDF]
, 2014 The paper deals with a system of difference equations where the coefficients depend on Markov chains. The functional equations for a particular density and the moment equations for the system are derived and used in the investigation of mode stability of
Diblík, Josef +2 more
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, 2020 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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Exponential dichotomy for noninvertible linear difference equations: block triangular systems [PDF]
, 2022 In this paper, block upper triangular systems of linear difference equations are considered, in which the coefficient matrices are not assumed invertible.
Battelli F., Franca M., Palmer K. J.
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The oscillation of systems of difference equations
Applied Mathematics Letters, 2000 The paper concerns the oscillatory behavior of the linear system \[ (-1)^{m+1}\Delta^{m}y_{i}(n)+ \sum_{j=1}^{N}q_{ij}y_{j}(n-\tau_{jj})=0, \quad m\geq 1, \quad i=1,\ldots,N, \tag{1} \] where \(q_{ij}\) are real numbers and \(\tau_{jj}\) are positive integers, \(\Delta\) is the first-order forward difference operator and \(\Delta^{m}y(n)=\Delta^{m-1 ...
Agarwal, R.P., Grace, S.R.
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SYSTEMS OF DIFFERENCE EQUATIONS APPROXIMATING THE LORENZ SYSTEM OF DIFFERENTIAL EQUATIONS [PDF]
Contributions, Section of Natural, Mathematical and Biotechnical Sciences, 2017 A b s t r a c t: In this paper, starting from the Lorenz system of differential equations, some systems of difference equations are produced. Using some regularities in these systems of difference equations, polynomial approximations of their solutions are found.
Zlatanovska, Biljana, Dimovski, Donco
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Well-posedness of delay parabolic difference equations [PDF]
, 2014 The well-posedness of difference schemes of the initial value problem for delay differential equations with unbounded operators acting on delay terms in an arbitrary Banach space is studied.
Allaberen Ashyralyev +3 more
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Existence and stability of stationary solutions of nonlinear difference equations under random perturbations [PDF]
, 2010 Existence and stability of stationary solutions of nonlinear random difference equations are studied in this note. Firstly, we give the weak conditions that guarantee the continuity of Lypanunov exponents under small random perturbations.
Zhu, M. +8 more
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, 2023 The analysis of differential equations using Lie symmetry has been proved a very robust tool. It is also a powerful technique for reducing the order and nonlinearity of differential equations.
Musrrat Ali +3 more
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Parameter interval of positive solutions for a system of fractional difference equation
Advances in Difference Equations, 2020 This paper deals with a typical system of Caputo fractional difference equations. Using the Guo–Krasnosel’skii fixed point theorem, we find a parameter interval for which at least one positive solution of the system exists.
Kazem Ghanbari, Tahereh Haghi
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Boundedness character of a fourth-order system of difference equations
, 2015 Sufficient conditions for boundedness character of solutions of a fourth-order system of difference equations is given.Sufficient conditions for boundedness character of solutions of a fourth-order system of difference equations is ...
Stevič, Stevo +2 more
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