Results 281 to 290 of about 773,939 (324)

A periodic solution of the takacs equation

Journal of Soviet Mathematics, 1986
Translation from Problems of stability of stochastic models, Proc. Semin., Moskva 1984, 27-34 (Russian) (1984; Zbl 0581.60085).
Afanas'eva, L. G., Lustina, A. A.
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The Existence of Periodic Solutions of Perturbed Periodic Systems

SIAM Journal on Applied Mathematics, 1971
Conditions are obtained for the existence of a periodic solution to $\dot x = f( {t,x} ) + g( {t,x} )$, where f and g are periodic in t. The technique used is the application of a fixed-point theorem to the iterates of the period map.
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Breather Solutions in Periodic Media

Communications in Mathematical Physics, 2011
The authors consider nonlinear wave equations of the form \[ s(x) u_{tt} = u_{xx} - q(x) u + u^3, \] where \(s(x)\) and \(q(x)\) are \(a\)-periodic real-valued coefficients. They choose these coefficients in such a way that the linear problem, \[ q(x) w(x) - w''(x) - \omega^2 s(x) w(x) = 0, \] has finite spectral gaps near odd multiples of \(\omega_* =
Blank, Carsten, Chirilus-Bruckner, Martina, Lescarret, Vincent, Schneider, Guido   +3 more
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Almost Periodic Solutions for Limit Periodic Systems

SIAM Journal on Applied Mathematics, 1972
A system of ordinary differential equations with limit periodic t-dependence has associated with it a sequence of approximating systems with periodic t-dependence. If each of these approximating systems has a periodic solution, sufficient conditions are given on these solutions under which the original system has an almost periodic solution. Additional
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Periodic solutions of pendulum: II

Journal of Physics A: Mathematical and General, 2003
Summary: Period-3 oscillations of pendulum are investigated using the method developed in our previous paper [ibid. 33, No. 47, 8489--8505 (2000; Zbl 0972.70020)]. Values of the driving force within very narrow ranges may give rise to this kind of motion.
Kucinski, M. Y., Monteiro, L. H. A.
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Periodic Solutions of Periodic Competitive and Cooperative Systems

SIAM Journal on Mathematical Analysis, 1986
Many mathematical models in the biological sciences give rise to the system \(x_ i'=F_ i(x,t)\), \(1\leq i\leq n\), \(x=(x_ 1,x_ 2,...,x_ n)\). The system is said to be cooperative or competitive according as \(\partial F_ i/x_ j\geq\) or \(\leq 0(i\neq j)\).
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Periodic Solutions of Integrodifferential Equations

Journal of the London Mathematical Society, 1985
The author is investigating the existence of periodic solutions to the integrodifferential equation of Volterra type \[ (1)\quad x'(t)=h(t,x(t))+\int^{t}_{-\infty}q(t,s,x(s))ds, \] under the basic assumptions that \(h: R\times R^ n\to R^ n\), and \(q: R\times R\times R^ n\to R^ n\) are both continuous, h is periodic in t with period T, and \(q(t+T,s+T ...
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The Bifurcation of T-periodic Solutions into nT-periodic Solutions and TORI

1977
My lecture on bifurcation and stability of solutions which branch from forced T-periodic solutions is based on the recent work of G. IOOSS and myself [1] and on my forthcoming paper on factorization theorems [2]. In general, forced T-periodic solutions bifurcate into subharmonic solutions with a fixed period τ(τ=nT; n=1,2,3,4) independent of the ...
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Existence Theorems for Periodic Solutions and Almost Periodic Solutions

1975
First of all, we shall state some fixed point theorems without proofs. The following theorem is due to Brouwer. For the proof, see [5].
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Periodic solutions

2018
JinRong Wang, Michal Fečkan
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