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Periodic and Unbounded Solutions of Periodic Systems
Bulletin of the Malaysian Mathematical Sciences SocietyzbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New results on time scales of pseudo Weyl almost periodic solution of delayed QVSICNNs
Computational and Applied Mathematics, 2022Adnène Arbi, Najeh Tahri
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Periodic Solutions of Periodic Systems
1994In this chapter we study the existence, stability and isolation of periodic solutions belonging to n-dimensional systems of periodic nonlinear differential equations of the form ẋ = f (t, x) where f is periodic in t with some period T > 0: f (t + T, x) = f (t,x).
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On the existence of periodic solutions and almost periodic solutions for nonlinear systems
Nonlinear Analysis: Theory, Methods & Applications, 1995The author presents dissipative type conditions which guarantee the existence and uniqueness of bounded, periodic and almost periodic solutions of a system \(x'= A(t, x)+ f(t)\), where the right-hand side is corresponding periodic or almost periodic.
Kato, Shigeo, Imai, Masato
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A periodic solution of the takacs equation
Journal of Soviet Mathematics, 1986Translation 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, 1971Conditions 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, 2011The 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 +3 more
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Almost Periodic Solutions for Limit Periodic Systems
SIAM Journal on Applied Mathematics, 1972A 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, 2003Summary: 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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