Results 11 to 20 of about 4,782,663 (283)
Almost periodicand asymptotically almost periodic solutions of Liénard equations [PDF]
Discrete and Continuous Dynamical Systems - B, 2011 The aim of this paper is to study the almost periodic and asymptotically almost periodic solutions on (0,+1) of the Li´enard equation x′′ + f(x)x′ + g(x) = F(t), where F : T ! R (T = R+ or R) is an almost periodic or asymptotically almost periodic function and g : (a, b) ! R is a strictly decreasing function.
Caraballo Garrido, Tomás, Cheban, David
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Remotely Almost Periodic Solutions of Ordinary Differential Equations [PDF]
Journal of Mathematics, 2021 In this paper, we analyze the existence and uniqueness of remotely almost periodic solutions for systems of ordinary differential equations. The existence and uniqueness of remotely almost periodic solutions are achieved by using the results about the ...
C. Maulén +3 more
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Almost periodic solutions for Abel equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1997 Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic ...
Zeng Weiyao +3 more
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Asymptotically almost periodic and almost periodic solutions for a class of partial integrodifferential equations [PDF]
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 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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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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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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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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Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay [PDF]
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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Weighted pseudo almost periodic solutions for functional differential equations [PDF]
Electronic Journal of Differential Equations, 2007 By means of the exponential dichotomy method and the properties of the weighted pseudo almost periodic functions, sufficient conditions are obtained for the existence of weighted pseudo almost periodic solutions of functional differential equations ...
Yuantong Xu, Liuwei Zhang
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