Results 211 to 220 of about 15,236 (250)

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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Solutions of Difference Equations Almost Periodic at Infinity

Journal of Mathematical Sciences, 2022
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Periodic solutions of difference-differential equations

Archive for Rational Mechanics and Analysis, 1977
The existence theorem of R. Nussbaum for periodic solutions of difference-differential equations is generalized to equations with a damping term. The study of such equations is motivated by recent theories of neural interactions in certain compound eyes.
Hadeler, K. P., Tomiuk, J.
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Periodic solutions of the rational difference equation

Journal of Difference Equations and Applications, 2006
This paper studies the behavior of positive solutions of the recursive equation with We prove that every positive solution {y i } converges to a period two solution or to the equilibrium . This result answers Open Problem 11.4.8 (a) in Kulenovic and Ladas, 2002 Dynamics of Second Order Rational Difference Equations.
Kenneth S. Berenhaut, Jennifer E. Dice, John D. Foley, Bratislav Iričanin, Stevo Stević   +4 more
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Periodic solutions of a perturbed difference equation

Applicable Analysis, 2000
Existence theorems are obtained for the periodic solutions of a perturbed difference equation xk+1 = Axk+Fk(xk), where is a T periodic sequence of continuous mappings.
Michael I. Gil', Sui Sun Cheng, A. Halanay   +2 more
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Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations

Applied Mathematics and Computation, 2015
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Diblík, J., Fečkan, M., Pospíšil, M.
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PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS

Journal of the London Mathematical Society, 2005
The paper is concerned with periodic solutions of second order self-adjoint difference equations of the form \[ \Delta[ p(t)\Delta u(t-1)]+q(t)u(t)=f(t,u(t)),\tag{\(*\)} \] where \(\Delta\) is the forward difference operator; \(p:{\mathbb Z}\to {\mathbb R}\) with \(p(t)\neq 0\) for each \(t\in {\mathbb Z}\), \(q: {\mathbb Z}\to {\mathbb R}\) and \(f: {\
Yu, Jianshe, Guo, Zhiming, Zou, Xingfu
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Bifurcation of Almost Periodic Solutions in a Difference Equation

Journal of Difference Equations and Applications, 2004
Our aim in this paper is almost periodic solutions (ap-solutions) originating from an equilibrium state when the parameters of the difference equation are varied. We consider the bifurcation of ap-solutions for an ap-difference equation with parameters of x_{n + 1} = f(n,x_{n}; \mgreek{m} ), using the Green's function for regular ap-operators and Σ ...
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Periodic solutions of whole line difference equations,

2004
Periodicity of the solutions of whole line difference equations is investigated. The considered equations is linear and of convolution type. The expression of the solution by means of a periodic resolvent kernel is given.
Crisci MR, Russo E, Vecchio A
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Periodic solutions of a 2nth-order nonlinear difference equation

Science in China Series A: Mathematics, 2010
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Zhou, Zhan, Yu, Jianshe, Chen, Yuming
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