Results 11 to 20 of about 129 (44)
Almost periodic solutions for Abel equations [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 727-735, 1997., 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 solutions of Abel differential equations We obtain several interesting results which improve the results ...
Zeng Weiyao +3 more
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On the stepanov almost periodic solution of a second‐order infinitesimal generator differential equation [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 757-761, 1991., 1991 The Stepanov almost periodic solution of a certain second‐order differential equation in a reflexive Banach space is shown to be almost periodic.
Aribindi Satyanarayan Rao
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Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations [PDF]
Abstract and Applied Analysis, Volume 5, Issue 4, Page 245-263, 2000., 2000 We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution equation and then derive a representation theorem for the solutions of the underlying functional differential equation. The representation theorem is then used to
Bernd Aulbach, Nguyen Van Minh
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Almost periodic skew-symmetric differential systems [PDF]
, 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 ...
Veselý, M.
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Almost periodic generalized solutions of differential equations [PDF]
, 2021 summary:The paper aims to study systems of linear ordinary differential equations in the context of an algebra of almost periodic generalized ultradistributions.
Bouzar, Chikh, Ouikene, Fethia
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Almost Periodic Solutions of C-well-posed Evolution Equations [PDF]
, 2006 This paper is concerned with the existence and uniqueness of almost periodic mild solutions of evolution equations of the form u(t) = Au(t) + ƒ(t) where A is the generator of a holomorphic Csemigroup on a Banach space and ƒ is an almost periodic function.
Minh, Nguyen Van
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Effective Reducibility of Quasi-Periodic Linear Equations close to Constant Coefficients [PDF]
, 2016 Let us consider the differential equation $$ \dot{x}=(A+\varepsilon Q(t,\varepsilon))x, \;\;\;\; |\varepsilon|\le\varepsilon_0, $$ where A is an elliptic constant matrix and Q depends on time in a quasi-periodic (and analytic) way.
Jorba i Monte, Àngel +2 more
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Almost Periodic and Asymptotically Almost Periodic Solutions of Liénard Equations [PDF]
, 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 !
B. A. Shcherbakov +16 more
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Crossing periodic orbits via first integrals [PDF]
, 2020 We characterize the families of periodic orbits of two discontinuous piecewise differential systems in R3 separated by a plane using their first integrals. One of these discontinuous piecewise differential systems is formed by linear differential systems,
Llibre, Jaume +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 521-534, 2001., 2001 We consider abstract differential equations of the form u′(t) = Au(t) + f(t) or u″(t) = Au(t) + f(t) in Banach spaces X, where f(⋅), ℝ → X is almost‐periodic, while A is a linear operator, 𝒟(A) ⊂ X → X. If the solution u(⋅) is likewise almost‐periodic, ℝ → X, we establish connections between their Bohr‐transforms, uˆ(λ) and fˆ(λ).
Samuel Zaidman
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