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PERIODIC AND ALMOST-PERIODIC SOLUTIONS OF RECURRENT MULTIPLICATIVE SECOND-ORDER EQUATIONS
Современная наука и инновации, 2022 Solutions of the recurrent multiplicative equation of a special kind are considered. The values of the parameters of the equation are defined, for which the solutions are periodic, almost periodic or combine properties of a geometric progression and ...
Victor Grigorievich Rudenko +2 more
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Almost Periodic Solutions of Abstract Impulsive Volterra Integro-Differential Inclusions
Fractal and Fractional, 2023 In this paper, we introduce and systematically analyze the classes of (pre-)(B,ρ,(tk))-piecewise continuous almost periodic functions and (pre-)(B,ρ,(tk))-piecewise continuous uniformly recurrent functions with values in complex Banach spaces.
Wei-Shih Du +2 more
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Asymptotically almost periodic and almost periodic solutions for a class of evolution equations
Electronic Journal of Differential Equations, 2004 In this paper we study the existence of asymptotically almost periodic and almost periodic solutions for the partial evolution equation $$ frac{d}{dt} (x(t)+g(t,x(t))=Ax(t)+f(t,Bx(t)), $$ where $A$ is the infinitesimal generator of an analytic semigroup ...
Eduardo Hernandez M. +2 more
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Almost Periodic Solutions of First-Order Ordinary Differential Equations
Mathematics, 2018 Approaches to estimate the number of almost periodic solutions of ordinary differential equations are considered. Conditions that allow determination for both upper and lower bounds for these solutions are found.
Seifedine Kadry +3 more
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The frequencies of almost periodic solutions of almost periodic differential equations [PDF]
Journal of the Australian Mathematical Society, 1974 AbstractAlmost periodic solutions of a first order almost periodic differential equation in Rp are shown to have less than p basic frequencies additional to the basic frequencies of the almost periodic right hand of the equation.
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Electronic Journal of Differential Equations, 2011 In this paper we study the existence of almost periodic solutions of an autonomous neutral functional differential equation with Stepanov-almost periodic terms in a Banach space.
Md. Maqbul
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On almost periodic solutions for undamped systems with almost periodic forcing [PDF]
Proceedings of the American Mathematical Society, 1972 Using the method of averaging, we give sufficient conditions for the existence of an almost periodic solution of an undamped oscillatory system with almost periodic forcing, and show that these can be applied to a Duffing equation with almost periodic forcing provided the nonlinear term is sufficiently small, and the natural frequency of the linear ...
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Construction of almost periodic sequences with given properties
Electronic Journal of Differential Equations, 2008 We define almost periodic sequences with values in a pseudometric space X and we modify the Bochner definition of almost periodicity so that it remains equivalent with the Bohr definition.
Michal Vesely
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Electronic Journal of Differential Equations, 2006 In this note, we establish the existence of asymptotically almost periodic and almost periodic solutions for a class of partial integrodifferential equations.
Eduardo Hernandez M. +1 more
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Almost periodic and almost automorphic solutions of lineardifferential equations
Discrete and Continuous Dynamical Systems, 2013 We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear non-homogeneous di erential (or di erence) equation in a Banach space, with almost periodic (respectively, almost automorphic, recurrent) coe cients. Under some conditions we prove that one of the following alternatives is ful lled: (i) There
Caraballo Garrido, Tomás, Cheban, David
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