Results 1 to 10 of about 150 (113)
The semicycles of solutions of neutral difference equations
Applied Mathematics Letters, 2000 The authors study the semicycles of solutions to the neutral delay difference equation \[ \Delta(y_n+ p_ny_{n-\tau}) +q_ny_{n-\sigma} =0. \] Here \(\{p_n\}\) and \(\{q_n\}\) are sequences of nonnegative real numbers, \(\tau\) and \(\sigma\) are positive integers. Upper bounds on the number of terms of semicycles are determined.
Yong Zhou, B G Zhang
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The semicycles of solutions of delay difference equations
Computers and Mathematics With Applications, 1999 The authors study the semicycles of oscillatory solutions of the delay difference equation \(y_{n+1}-y_n+ p_ny_{n-k}=0\). Upper bounds of numbers of terms of semicycles are determined.
Yong Zhou
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An estimate of numbers of terms of semicycles of delay difference equations
Computers and Mathematics With Applications, 2001 The authors study the delay difference equation \[ y_{n+1}-y_n+p_ny_{n-k}=0,\tag{*} \] where \(\{p_n\}\) is a sequence of nonnegative real numbers and \(k\) is a positive integer. The main purpose of the paper is to determine an upper bound of number of terms of semicycles of solutions of (*) under the condition \[ \sum_{n=n_0}^\infty p_n\left(\left ...
Yong Zhou, B G Zhang
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Semicycles of solutions of nonlinear difference equations with several delays
Computers and Mathematics With Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B G Zhang, Yong Zhou
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ON SEMICYCLES OF SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS WITH SEVERAL DELAYS
Demonstratio Mathematica, 2003 The authors give an estimate of the upper bound of the number of terms of semicycles of oscillatory solutions of delay difference equations of the form: \((ax_{n+1}+bx_n)^k -(cx_n)^k + \sum_{i=1}^mp_i(n)x_{n-\sigma_i}^k=0\), where \(a,b,c\) are positive reals, \(c>b\), \(k=q/r\), \(q,r\) are odd integers, \(m,\sigma_i\) are positive integers, \(\{ p_i ...
Yong Zhou
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Bifurcation and periodically semicycles for fractional difference equation of fifth order
Journal of Nonlinear Science and Applications, 2018 Summary: Our paper takes into account a new bifurcation case of the cycle length and a fifth-order difference equation dynamics of \[ y_{m+1}=\frac{y_{m} y_{m-2}^\alpha y_{m-4}^\beta+y_{m} +y_{m-2}^\alpha +y_{m-4}^\beta + \gamma}{y_{m}y_{m-2}^\alpha + y_{m-2}^\alpha y_{m-4}^\beta+y_{m} y_{m-4}^\beta+ \gamma +1}, \quad m=0,1,2,3, \ldots, \] where ...
Tarek F Ibrahim
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On functions which sum to zero on semicycles [PDF]
Applicationes Mathematicae, 1987 Jerzy Topp
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Polarization and multiscale structural balance in signed networks
Communications Physics, 2023 Polarization, or a division into mutually hostile groups, is a common feature of social systems. It is studied in Structural Balance Theory in terms of semicycles in signed networks.
Szymon Talaga +3 more
doaj +2 more sources
Dynamical Properties for a Class of Fourth-Order Nonlinear Difference Equations
Advances in Difference Equations, 2008 We consider the dynamical properties for a kind of fourth-order rational difference equations. The key is for us to find that the successive lengths of positive and negative semicycles for nontrivial solutions of this equation periodically occur with ...
Li Xianyi, Li Dongsheng, Li Pingping
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Tangle functors from semicyclic representations [PDF]
Journal of Knot Theory and Its Ramifications, 2017 Let [Formula: see text] be a [Formula: see text]th root of unity where [Formula: see text] is odd. Let [Formula: see text] denote the quantum group with large center corresponding to the Lie algebra [Formula: see text] with generators [Formula: see text], and [Formula: see text].
Druivenga, Nathan +2 more
openaire +3 more sources