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Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System. [PDF]

Entropy (Basel)
Abdalgadir LM, Ahmad S, Youniso B, Aldwoah K.   +3 more
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On the periodic solution of a class of difference equations

Novi Sad Journal of Mathematics - NSJOM, 2004
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On Periodic Solutions of Autonomous Difference Equations

gmj, 2001
Abstract We establish conditions necessary for the existence of non-constant periodic solutions of non-linear autonomous difference equations with Lipschitzian right-hand sides.
Ronto, A. N., Rontó, M., Samoilenko, A. M., Trofimchuk, S. I.   +3 more
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Periodic solutions to nonautonomous difference equations

Mathematical Biosciences, 1990
A technique is presented for determining when periodic solutions to nonautonomous periodic difference equations exist. Under certain constraints, stable periodic solutions can be guaranteed to exist, and this is used to compare the analogous behavior of a nonautonomous periodic hyperbolic difference equation to that of the nonautonomous periodic Pearl ...
M E, Clark, L J, Gross
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Periodic Solutions of a Logistic Difference Equation

SIAM Journal on Applied Mathematics, 1977
Periodic solutions of the difference equation $x_{n + 1} = mx_n ( {1 - x_n } )$ are studied for values of $m,0\leqq m\leqq 4$. It is shown that as m increases from zero, solutions having successively higher periods branch from old ones until the value ${\bf m} \doteq 3.57$ is reached, after which there is an infinity of periodic solutions. The solution
Hoppensteadt, F. C., Hyman, J. M.
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Periodic solutions of difference equations

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Furumochi, Tetsuo, Naito, Toshiki
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Periodic solutions of difference equations

Journal of Difference Equations and Applications, 2000
We give an overview of results on the existence of periodic solutions of difference equations that have been obtained in the last two decades. The survey covers both ordinary and Volterra difference systems. Some extensions and generalizations of known result are also presented.
F. Dannan, S. Elaydi, P. Liu
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On the periodic solutions for an nth-order difference equations

Applied Mathematics and Computation, 2002
For the general autonomous explicit difference equation of higher order a necessary and sufficient condition is given such that all solutions are \(p\)-periodic.
H. El-Owaidy, H. Y. Mohamed
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Solutions of Difference Equations Almost Periodic at Infinity

Journal of Mathematical Sciences, 2022
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Stable Periodic Solutions in Nonlinear Difference Equations

SIAM Journal on Scientific and Statistical Computing, 1988
The aim of this paper is to prove the existence and to study the stability of periodic solutions of some nonlinear difference equations arising from discrete approximations to the logistic equation \(x'=ax(1- x)\); (here a is a positive constant). In particular the authors study the different equations obtained when the logistic equation is discretized
Sleeman, B. D., Griffiths, D. F., Mitchell, A. R., Smith, P. D.   +3 more
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