Results 21 to 30 of about 37,334 (161)
Abstract and Applied Analysis, 2011 Firstly, we propose a concept of uniformly almost periodic functions on almost periodic time scales and investigate some basic properties of them. When time scale T=ℝ or ℤ, our definition of the uniformly almost periodic functions is equivalent to the ...
Yongkun Li, Chao Wang
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Existence and Stability of Almost Periodic Solutions in Almost Periodic Systems
Publications of the Research Institute for Mathematical Sciences, 1976 where x$ are real, k is a positive integer and a^(f) are almost periodic functions of t. Under some conditions on ##(£), Theorem 1 shows that the trivial solution of the first approximation of system (1-1) is uniformly asymptotically stable in a subspace IT of R (see Definition 2) .
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Almost periodic skew-symmetric differential systems
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We analyse solutions of almost periodic skew-symmetric homogeneous linear differential systems. We prove that in any neighbourhood of such a system there exists an almost periodic skew-symmetric system which does not possess any non-trivial almost ...
Michal Veselý
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Almost Periodic Solutions for Some Convolution Equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We use the theory of Fourier series for almost periodic functions to looking for complex-valued functions f which are almost periodic on R and satisfy the following ...
Corduneanu Silvia-Otilia
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Advances in Difference Equations, 2019 We study almost periodic solutions for a class of nonlinear second-order differential equations involving reflection of the argument. We establish existence results of almost periodic solutions as critical points by a variational approach.
Peiguang Wang +4 more
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Regularity of almost periodic solutions of Poisson equation [PDF]
Ufa Mathematical Journal, 2020 This paper discusses some regularity of almost periodic solutions of the Poisson's equation $-Δu = f$ in $\mathbb{R}^n$, where $f$ is an almost periodic function. It has been proved by Sibuya [Almost periodic solutions of Poisson's equation. Proc. Amer. Math.
Muhamadiev, Èrgashev, Nazarov, Murtazo
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Almost periodic upper and lower solutions
Journal of Differential Equations, 2003 Consider the second-order equation \((*) \;\ddot{u} = f(t,u,\dot{u}),\) where \(f\) is continuous and \(T\)-periodic in \(t\). If \(f\) satisfies a Nagumo condition, then the method of upper and lower solutions is a powerful tool to establish the existence of \(T\)-periodic solutions of \((*)\).
R. Ortega, M.E. Tarallo
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Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay
Advances in Difference Equations, 2007 For periodic and almost periodic functional difference equations with finite delay, the existence of periodic and almost periodic solutions is obtained by using stability properties of a bounded solution.
Yihong Song
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ASYMPTOTIC EQUIVALENCE OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF PERTURBED ALMOST PERIODIC SYSTEMS [PDF]
Glasgow Mathematical Journal, 2010 AbstractThe solutions of a perturbed linear ordinary differential equation (ODE) system are studied. Provided that some integrability and oddness conditions are satisfied, we show that they are asymptotically equivalent at t = ±∞ to the solutions of the unperturbed one.
Pinto, Manuel +2 more
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Almost Periodic Solutions of Differential Equations with Generalized Piecewise Constant Delay
MathematicsIn this paper, we investigate differential equations with generalized piecewise constant delay, DEGPCD in short, and establish the existence and stability of a unique almost periodic solution that is exponentially stable.
Kuo-Shou Chiu
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