Results 21 to 30 of about 168,546,907 (282)
Solution for Rational Systems of Difference Equations of Order Three
Mathematics, 2016 In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n
Mohamed M. El-Dessoky
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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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, 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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On a higher-order system of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2013 Here we study the following system of difference equations \begin{align} x_n&=f^{-1}\bigg(\frac{c_nf(x_{n-2k})}{a_n+b_n\prod_{i=1}^kg(y_{n-(2i-1)})f(x_{n-2i})}\bigg),\nonumber\\ y_n&=g^{-1}\bigg(\frac{\gamma_n g(y_{n-2k})}{\alpha_n+\beta_n \prod_{i=1}^kf(
Stevo Stevic +3 more
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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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OSCILLATIONS IN SYSTEMS OF DIFFERENCE EQUATIONS
Far East Journal of Dynamical Systems, 2011 In this paper, we obtain a new sufficient condition for oscillation of all solutions of the system of difference equations of the form where are sequences of real numbers, is an increasing sequence of integers such that for all and and is the forward difference operator.
Chatzarakis, G. E., Groumpas, E. I.
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Advances in Difference Equations, 2018 We represent general solution to a homogeneous linear difference equation of second order in terms of a specially chosen solution to the equation and apply it to get a representation of general solution to the bilinear difference equation in terms of a ...
Stevo Stević
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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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Structure and Explicit of Solutions for a Third-Order System of Rational Difference Equations
MathematicsThis paper investigates the qualitative behavior, global dynamics, and explicit solution forms of four distinct coupled systems of third-order rational difference equations.
Burak Oğul
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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