Asymptotic properties of third order delay differential equations
Asymptotic properties of third-order differential equations with deviating argument
Asymptotic properties of trinomial delay differential equations
The aim of this paper is to study asymptotic properties of the solutions of the third order delay differential equation Using suitable comparison theorem we study properties of Eq. () with help of the oscillation of the second order differential equation.
Asymptotic relationship between solutions of two linear differential systems
In this paper new generalized notions are defined: -boundedness and -asymptotic equivalence, where is a complex continuous nonsingular matrix. The -asymptotic equivalence of linear differential systems and is proved when the fundamental matrix of is -bounded.
Asymptotic representations of oscillatory solutions of a nonlinear equation.
Asymptotic representations of solutions of the nonautonomous ordinary differential -th order equations
Asymptotic representations of some classes of solutions of nonautonomous ordinary differential -th order equations which somewhat are close to linear equations are established.
Asymptotic solutions of forced nonlinear second order differential equations and their extensions.
Asymptotical properties of the Wronski determinant of a certain class of linear differential equations of the 2nd order
Asymptotically almost automorphic solutions of differential equations with piecewise constant argument
This paper is concerned with the existence and uniqueness of asymptotically almost automorphic solutions to differential equations with piecewise constant argument. To study that, we first introduce several notions about asymptotically almost automorphic type functions and obtain some properties of such functions. Then, on the basis of a systematic study on the associated difference system, the existence and uniqueness theorem is established. Compared with some earlier results, we do not assume...
Asymptotically almost periodic and almost periodic solutions for a class of evolution equations.
Asymptotics of some classes of non-oscillatory solutions of second-order half-linear differential equations
Asymptotique de solutions oscillantes d'équations différentielles
Asymptotische Eigenschaften einer perturbierten iterierten Differentialgleichung
Asymptotische Eigenschaften von Lösungen der Differentialgleichung im nichtoszillatorischen Fall
Asymptotische Entwicklungen der Lösungen der Differentialgleichung im nichtoszillatorischen Fall
Aufspaltungen linearer gewöhnlicher Differentialoperatoren und der zugehörigen Greenschen Funktion.
Averaging for ordinary differential equations perturbed by a small parameter
In this paper, we prove and discuss averaging results for ordinary differential equations perturbed by a small parameter. The conditions we assume on the right-hand sides of the equations under which our averaging results are stated are more general than those considered in the literature. Indeed, often it is assumed that the right-hand sides of the equations are uniformly bounded and a Lipschitz condition is imposed on them. Sometimes this last condition is relaxed to the uniform continuity in...
Averaging in an ordinary differential equation.
Averaging method for differential equations perturbed by dynamical systems
In this paper, we are interested in the asymptotical behavior of the error between the solution of a differential equation perturbed by a flow (or by a transformation) and the solution of the associated averaged differential equation. The main part of this redaction is devoted to the ascertainment of results of convergence in distribution analogous to those obtained in [10] and [11]. As in [11], we shall use a representation by a suspension flow over a dynamical system. Here, we make an assumption...
Averaging method for differential equations perturbed by dynamical systems
In this paper, we are interested in the asymptotical behavior of the error between the solution of a differential equation perturbed by a flow (or by a transformation) and the solution of the associated averaged differential equation. The main part of this redaction is devoted to the ascertainment of results of convergence in distribution analogous to those obtained in [10] and [11]. As in [11], we shall use a representation by a suspension flow over a dynamical system. Here, we make an assumption...