On a system of difference equations including negative exponential terms
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Publication:4979804
DOI10.1080/10236198.2013.814647zbMath1291.39040OpenAlexW2040821291MaRDI QIDQ4979804
Nikos A. Fotiades, Garyfalos Papaschinopoulos, Christos J. Schinas
Publication date: 19 June 2014
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2013.814647
Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)
Related Items (24)
Asymptotic behavior of the positive solutions of an exponential type system of difference equations ⋮ Solvability of a class of product-type systems of difference equations ⋮ Solvable product-type system of difference equations with two dependent variables ⋮ Stability of equilibria of exponential type system of three differential equations under stochastic perturbations ⋮ Investigation of the global dynamics of two exponential-form difference equations systems ⋮ Behavior of solutions of a discrete population model with mutualistic interaction ⋮ Long-term behavior of positive solutions of an exponentially self-regulating system of difference equations ⋮ ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF DIFFERENCE EQUATION SYSTEM OF EXPONENTIAL FORM ⋮ Unnamed Item ⋮ Product-type system of difference equations with a complex structure of solutions ⋮ Solution to the solvability problem for a class of product-type systems of difference equations ⋮ Global dynamics of some \(3 \times 6\) systems of exponential difference equations ⋮ Stability of equilibrium states for a stochastically perturbed exponential type system of difference equations ⋮ Well-defined solutions of a system of difference equations ⋮ Global dynamics of some system of second-order difference equations ⋮ Dynamics of a second-order nonlinear difference system with exponents ⋮ Solvability of the class of two-dimensional product-type systems of difference equations of delay-type \((1,3,1,1)\) ⋮ Stability of the non-hyperbolic zero equilibrium of two close-to-symmetric systems of difference equations with exponential terms ⋮ Semistability of two systems of difference equations using centre manifold theory ⋮ Stability analysis of a time varying population model without migration ⋮ Bifurcation analysis and chaos control of a second-order exponential difference equation ⋮ Dynamics of a second order three species nonlinear difference system with exponents ⋮ On a solvable class of product-type systems of difference equations ⋮ On some difference equations with exponential nonlinearity
Cites Work
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- On the system of two difference equations of exponential form: \(x_{n+1}=a+bx_{n-1}e^{-y_n}\), \(y_{n+1}=c+dy_{n-1}e^{-x_n}\).
- On the difference equation \(x_{n}=x_{n-k} / (b+cx_{n-q}+\dots{ }+x_{n-k})\)
- On some solvable systems of difference equations
- Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form
- On a system of difference equations with period two coefficients
- On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
- On a third-order system of difference equations
- On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
- Periodicity of a class of nonautonomous max-type difference equations
- On a class of higher-order difference equations
- On a nonlinear generalized max-type difference equation
- On a modification of a discrete epidemic model
- Eventually constant solutions of a rational difference equation
- Global stability and asymptotics of some classes of rational difference equations
- On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\)
- A coupled system of rational difference equations
- On the asymptotics of nonlinear difference equations
- Global asymptotic behavior of a two-dimensional difference equation modelling competition
- Oscillation and global asymptotic stability in a discrete epidemic model
- On the difference equation \(x_{n+1}=\alpha+\beta x_{n-1}e^{-x_n}\).
- Convergence of solutions in a nonhyperbolic case.
- Existence of nontrivial solutions of a rational difference equation
- On the behaviour of the solutions of a second-order difference equation
- On positive solutions of a (\(k+1\))th order difference equation
- On the asymptotics of the difference equation y n (1 + y n − 1 … y n − k + 1) = y n − k
- Rational systems in the planeEdited by Gerry LadasIn this section, we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas: gladas@math.uri.edu
- Periodically forced nonlinear systems of difference equations
- Inclusion Theorems for Non-linear Difference Equations with Applications
- Asymptotic behavior of a sequence defined by iteration with applications
- On a system of difference equations
- A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays
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