EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 21 – 40 of 44

On asymptotic properties of a strongly nonlinear differential equation

Ladislav Adamec (2001)

Czechoslovak Mathematical Journal

The paper describes asymptotic properties of a strongly nonlinear system $\dot{x} = f (t, x)$ , $(t, x) \in ℝ \times ℝ^{n}$ . The existence of an $⌊ n / 2 ⌋$ parametric family of solutions tending to zero is proved. Conditions posed on the system try to be independent of its linear approximation.

On the convergence of a time-variant linear differential equation arising in identification

Dirk Aeyels, Rodolphe Sepulchre (1994)

Kybernetika

Relationship between different types of stability for linear almost periodic systems in Banach spaces.

Cheban, D.N. (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Some stability and boundedness results for the solutions of certain fourth order differential equations

Cemil Tunç (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with $p \equiv 0$ and the boundedness of all solutions of the equation (1.1) with $p \neq 0$ . Our result includes and improves several results in the literature ([4], [5], [8]).

Stability and boundedness of controllable continuous flows

František Tumajer (1988)

Aplikace matematiky

In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.

Stability of periodic solutions in extended Gierer-Meinhardt model.

Lian, Jin-Guo (2009)

Applied Mathematics E-Notes [electronic only]

Stable closed orbits in plane autonomous dynamical systems.

Dieter Erle (1979)

Journal für die reine und angewandte Mathematik

Substitution method for generalized linear differential equations

Dana Fraňková (1991)

Mathematica Bohemica

The generalized linear differential equation $d x = d [a (t)] x + d f$ where $A, f \in B V_{n}^{l o c} (J)$ and the matrices $I - Δ^{-} A (t), I + Δ^{+} A (t)$ are regular, can be transformed $\frac{d y}{d s} = B (s) y + g (s)$ using the notion of a logarithimc prolongation along an increasing function. This method enables to derive various results about generalized LDE from the well-known properties of ordinary LDE. As an example, the variational stability of the generalized LDE is investigated.