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Stability of Some Difference Equations with Two Delays
Automation and Remote Control, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kipnis, M. M., Nigmatulin, R. M.
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Stability results for difference equations of volterra type
Applied Mathematics and Computation, 1990This 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, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibrahim, T. F., El-Moneam, M. A.
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Thompson’s metric and global stability of difference equations
Positivity, 2011The 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, 1967In 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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Nanofluidics for osmotic energy conversion
Nature Reviews Materials, 2021, Liping Wen, Lei Jiang
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The fundamentals and applications of ferroelectric HfO2
Nature Reviews Materials, 2022Uwe Schroeder +2 more
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Real stability of difference equations
Cybernetics, 1974P. P. Goncharuk +3 more
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Stability of Partial Difference Equations
New Developments in Difference Equations and Applications, 2017openaire +1 more source
Colloidal Self-Assembly Approaches to Smart Nanostructured Materials
Chemical Reviews, 2022Zhiwei Li Li, Yadong Yin
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