Results 11 to 20 of about 1,445,125 (331)

THE FOURTH ORDER MIXED PERIODIC RECURRENCE FRACTIONS

Journal of Vasyl Stefanyk Precarpathian National University, 2015
Offered economical algorithm for calculation of rational shortenings of thefourth-order mixed periodic recurrence fraction.
A.V. Semenchuk, R.A. Zatorsky
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High order periodic impulsive problems

Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain), 2015
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Minhós, Feliz, Fialho, J
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Infinitely many periodic solutions for second order Hamiltonian systems [PDF]

, 2011
In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $\ddot{u}+\nabla_u V(t,u)=0$, where $V(t, u)$ is either asymptotically quadratic or superquadratic as $|u|\to \infty$.Comment: to appear in ...
Liu, Chungen, Zhang, Qingye
core   +1 more source

First order impulsive differential inclusions with periodic conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this paper, we present an impulsive version of Filippov's Theorem for the first-order nonresonance impulsive differential inclusion $$ \begin{array}{rlll} y'(t)-\lambda y(t) &\in& F(t,y(t)), &\hbox{ a.e. } \, t\in J\backslash \{t_{1},\ldots,t_{m}\},\\
John Graef, Abdelghani Ouahab
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Gauss periods: orders and cryptographical applications [PDF]

Mathematics of Computation, 1998
Experimental results on the multiplicative orders of Gauss periods in finite fields are presented. These results indicate that Gauss periods have high order and are often primitive (self-dual) normal elements in finite fields. It is shown that Gauss periods can be exponentiated in quadratic time.
Gao, Shuhong, von zur Gathen, Joachim, Panario, Daniel   +2 more
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Second order homogenization of quasi-periodic structures

Vietnam Journal of Mechanics, 2018
The paper develops a general framework to derive the effective properties of quasi-periodic elastic medium. By using the asymptotic expansion method, the solution is expanded to the second order by solving a sequence of minimization problems.
Duc Trung Le, Jean-Jacques Marigo
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Periodic unique beta-expansions: the Sharkovskiĭ ordering [PDF]

Ergodic Theory and Dynamical Systems, 2009
AbstractLetβ∈(1,2). Eachx∈[0,1/(β−1)] can be represented in the formwhere εk∈{0,1} for allk(aβ-expansion ofx). If$\beta >{(1+\sqrt 5)}/{2}$, then, as is well known, there always existx∈(0,1/(β−1)) which have a uniqueβ-expansion. We study (purely) periodic uniqueβ-expansions and show that for eachn≥2 there exists$\beta _n\in [{(1+\sqrt 5)}/{2},2)$
Allouche, Jean Paul, Clarke, Matthew, Sidorov, Nikita   +2 more
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Periodic solutions of nonlinear second-order difference equations

Advances in Difference Equations, 2005
We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t+2)+by(t+1)+cy(t)=f(y(t)), where c≠0 and f:ℝ→ℝ is continuous.
Debra Lynn Etheridge, Jesús Rodriguez   +1 more
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Periodic solutions of second-order nonautonomous dynamical systems

Boundary Value Problems, 2006
We study the existence of periodic solutions for second-order nonautonomous dynamical systems. We give four sets of hypotheses which guarantee the existence of solutions.
Schechter Martin
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Periodic perturbations of non-conservative second order differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2002
Consider the Lienard system $u''+f(u) u'+g(u)=0$ with an isolated periodic solution. This paper concerns the behavior of periodic solutions of Lienard system under small periodic perturbations.
R. A. Chouikha
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