Results 261 to 270 of about 67,397 (299)

Almost-periodic solutions of impulse systems

Ukrainian Mathematical Journal, 1987
Some sufficient conditions for almost periodicity of solutions and for regularity of impulse differential operators are given.
Perestyuk, N. A., Akhmetov, M. U.
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Almost Periodic Solutions for Limit Periodic Systems

SIAM Journal on Applied Mathematics, 1972
A system of ordinary differential equations with limit periodic t-dependence has associated with it a sequence of approximating systems with periodic t-dependence. If each of these approximating systems has a periodic solution, sufficient conditions are given on these solutions under which the original system has an almost periodic solution. Additional
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Almost Periodic Solutions

2011
This chapter presents existence and stability of almost periodic solutions of the following system \( {\frac{dx(t)}{dt}} = A(t)x(t) + f(t,x(\theta_{\upsilon (t) - p1} ),x(\theta_{\upsilon (t) - p2} ), \ldots ,x(\theta_{\upsilon (t) - pm} )), \) (7.1) where \( x \in \mathbb{R}^{n} ,\;t \in \mathbb{R}, \) υ(t) = 1 if θ i ≤ t < θ i+1, i = …,-2,-1,0,1,2,…,
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Almost Periodic Solutions

2012
In the present chapter, we shall state some basic existence and uniqueness results for almost periodic solutions of impulsive differential equations. Applications to real world problems will also be discussed.
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On Almost Periodic Solutions of Differential Equations

The Annals of Mathematics, 1959
(1.1) Z= F(z, p, t) It is assumed that for p a=0,c system (1.1) possesses a stable almost periodic solution p(p,,, t). It is further assumed that F(z, 1f, t) for a fixed p is almost periodic in t uniformly with respect to z in a cylindrical neighborhood of p(p,0, t) of radius ;r > 0.
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Almost Periodic Solutions of Functional Equations

Journal of Mathematical Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Almost Periodic Solutions of the KdV Equation

SIAM Review, 1976
In this talk we discuss the almost periodic behavior in time of space periodic solutions of the KdV equation \[ u_t + uu_x + u_{xxx} = 0.\] We present a new proof, based on a recursion relation of Lenart, for the existence of an infinite sequence of conserved functionals $F_n (u)$ of form$\int {P_n (u)dx} $, $P_n $ a polynomial in u and its derivatives;
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Asymptotically Almost Periodic and Almost Periodic Solutions for Partial Neutral Integrodifferential Equations

Zeitschrift für Analysis und ihre Anwendungen, 2007
In this paper we study the existence of \ap\ and \aap\ solutions for a class of partial neutral functional integro-differential equation with unbounded delay.
Henríquez, Hernán, Hernández M., Eduardo, Dos Santos, José   +2 more
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Stability of Periodic or Almost Periodic Solutions

2018
In this chapter we study the asymptotic behavior of solutions as \({t } \rightarrow + \infty \), mainly in the case where \({h:}\ \mathbb {R} \rightarrow {H}\) is periodic or more generally almost periodic. As already mentioned in Remark 8.4.2, essentially nothing is known in this direction if f is non-linear.
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Almost Periodic Solutions of Nonlinear Equations that are not Necessarily Almost Periodic in Bochner’s Sense

Ukrainian Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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