Results 291 to 300 of about 864,943 (329)

Stability of nonlinear homogeneous difference equations

Journal of Economic Theory, 1985
The paper deals with nonlinear n-th order difference equations of the form \[ z_ t=H(z_{t-1},z_{t-2},...,z_{t-n}) \] where the function H is positively homogeneous of degree one, nondecreasing in each variable and strictly increasing in the first and the last variable.
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Robust Stabilizing Solution of the Riccati Difference Equation

European Journal of Control, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zou, Jianping, Gupta, Yash P.
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Stability of certain nonautonomous difference equations

Positivity, 2015
Stability conditions for the equilibrium points of \[ x_n=f_n(x_{n-1},\dots,x_{n-m}) \] on metric and ordered Banach spaces are discussed; the right hand side function is required to satisfy some contractive conditions.
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Ulam‐Hyers stability of Caputo fractional difference equations

Mathematical Methods in the Applied Sciences, 2019
We study the Ulam‐Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam‐Hyers stability results of discrete fractional Caputo equations.
Churong Chen, Martin Bohner, Baoguo Jia
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Stability of Some Difference Equations with Two Delays

Automation and Remote Control, 2003
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Kipnis, M. M., Nigmatulin, R. M.
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Stability results for difference equations of volterra type

Applied Mathematics and Computation, 1990
This paper is concerned with the stability of nonlinear Volterra difference equations of type \(x(n+1)-x(n)=f(n,x(n))+\sum^{n- 1}_{s=n_ 0}g(n,s,x(s)),\) \(x(n_ 0)=x_ 0\), with suitable maps f and g. By comparing the mentioned equation with certain linear Volterra difference equation, the authors are able to impose propriate conditions on f and g to ...
Zouyousefain, M., Leela, S.
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Global Stability of a Higher-Order Difference Equation

Iranian Journal of Science and Technology, Transactions A: Science, 2017
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Ibrahim, T. F., El-Moneam, M. A.
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Thompson’s metric and global stability of difference equations

Positivity, 2011
The author investigates the global stability of the equilibrium of the difference equation \[ y_n=\frac{f^{2m+1}_{2m+1}(y_{n-k_1}^r,y_{n-k_2}^r,\dots,y^r_{n-k_{2m+1}})} {f^{2m+1}_{2m}(y_{n-k_1}^r,y_{n-k_2}^r,\dots,y^r_{n-k_{2m+1}})}, \tag{*} \] where \(f^{2m+1}_{2m+1}\), \(f^{2m+1}_{2m}\) are polynomials of \(2n+1\) variables, \(k_1,\dots k_{2m+1 ...
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Numerical Stability of Difference Equations with Matrix Coefficients

SIAM Journal on Numerical Analysis, 1967
In this paper, we consider the homogeneous difference equation \[ \sum _{j = 0}^k {\alpha _j y_{n - j} } = 0,\quad n = k,k + 1,k + 2, \cdots ,\] with initial values \[ y_j = q_j,\quad j = 0(1)k - 1 .\] The $y_j$ are d-component column vectors, the $\alpha _j $ are $d \times d$ matrices independent of n.
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Existence of chaos for partial difference equations via tangent and cotangent functions

Advances in Difference Equations, 2021
Wei Liang
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