Results 31 to 40 of about 451,129 (278)
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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Almost Periodic Viscosity Solutions of Nonlinear Parabolic Equations
Boundary Value Problems, 2009 We generalize the comparison result 2007 on Hamilton-Jacobi equations to nonlinear parabolic equations, then by using Perron's method to study the existence and uniqueness of time almost periodic viscosity solutions of nonlinear parabolic equations ...
Shilin Zhang, Daxiong Piao
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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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, 2015 In this paper, we first propose a concept of weighted pseudo-almost periodic functions on time scales and study some basic properties of weighted pseudo-almost periodic functions on time scales.
Li, Yongkun, Zhao, Lili
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On periodic solutions of 2-periodic Lyness difference equations [PDF]
, 2012 We study the existence of periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/u_n, where {a_n} is a cycle with positive values a,b and with positive initial conditions.
GUY BASTIEN +4 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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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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Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument [PDF]
, 2015 We consider a new model for shunting inhibitory cellular neural networks, retarded functional differential equations with piecewise constant argument. The existence and exponential stability of almost periodic solutions are investigated.
Akhmet, Marat +2 more
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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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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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