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Asymptotic properties of the solutions of the equation $\dot{z} = f (t, z)$ with a complex-valued function $f$

Josef Kalas (1981)

Archivum Mathematicum

Asymptotic properties of third order delay differential equations

Jozef Džurina (1995)

Czechoslovak Mathematical Journal

Asymptotic properties of third order functional dynamic equations on time scales

I. Kubiaczyk, S. H. Saker (2011)

Annales Polonici Mathematici

The purpose of this paper is to study the asymptotic properties of nonoscillatory solutions of the third order nonlinear functional dynamic equation ${[p (t) {[{(r (t) x^{Δ} (t))}^{Δ}]}^{γ}]}^{Δ} + q (t) f (x (τ (t))) = 0$ , t ≥ t₀, on a time scale , where γ > 0 is a quotient of odd positive integers, and p, q, r and τ are positive right-dense continuous functions defined on . We classify the nonoscillatory solutions into certain classes $C_{i}$ , i = 0,1,2,3, according to the sign of the Δ-quasi-derivatives and obtain sufficient conditions in order that $C_{i} = \emptyset$ . Also, we establish...

Asymptotic properties of third-order delay trinomial differential equations.

Džurina, J., Komariková, R. (2011)

Abstract and Applied Analysis

Asymptotic properties of third-order differential equations with deviating argument

Jozef Džurina (1994)

Czechoslovak Mathematical Journal

Asymptotic properties of trinomial delay differential equations

Jozef Džurina, Renáta Kotorová (2008)

Archivum Mathematicum

The aim of this paper is to study asymptotic properties of the solutions of the third order delay differential equation ${(\frac{1}{r (t)} y^{'} (t))}^{''} - p (t) y^{'} (t) + g (t) y (τ (t)) = 0 . *$ Using suitable comparison theorem we study properties of Eq. () with help of the oscillation of the second order differential equation.

Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order

Francisco Bernis (1984)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Asymptotic relationship between solutions of two linear differential systems

Jozef Miklo (1998)

Mathematica Bohemica

In this paper new generalized notions are defined: $Ψ$ -boundedness and $Ψ$ -asymptotic equivalence, where $Ψ$ is a complex continuous nonsingular $n \times n$ matrix. The $Ψ$ -asymptotic equivalence of linear differential systems $y^{'} = A (t) y$ and $x^{'} = A (t) x + B (t) x$ is proved when the fundamental matrix of $y^{'} = A (t) y$ is $Ψ$ -bounded.

Asymptotic representations of some classes of solutions of nonautonomous ordinary differential $n$ -th order equations which somewhat are close to linear equations are established.

Currently displaying 1161 – 1180 of 1233

Previous Page 59 Next

Displaying 1161 – 1180 of 1233

Asymptotic properties of the solutions of the equation $\dot{z} = f (t, z)$ with a complex-valued function $f$

Asymptotic properties of third order delay differential equations

Asymptotic properties of third order functional dynamic equations on time scales

Asymptotic properties of third-order delay trinomial differential equations.

Asymptotic properties of third-order differential equations with deviating argument

Asymptotic properties of trinomial delay differential equations

Asymptotic rates of decay for some nonlinear ordinary differential equations and variational problems of arbitrary order

Asymptotic relationship between solutions of two linear differential systems

Asymptotic relationship between solutions of two systems of differential equations

Asymptotic relationships between the solutions of two second order differential equations

Asymptotic relationships between the solutions of two systems of differential equations

Asymptotic relationships between two higher order ordinary differential equations.

Asymptotic representations of oscillatory solutions of a nonlinear equation.

Asymptotic representations of solutions of the nonautonomous ordinary differential $n$ -th order equations

Asymptotic shape of solutions to nonlinear eigenvalue problems.

Asymptotic solution of nonlinear moment equations for constant-rate aerosol reactors.

Asymptotic solutions for mixed-type equations with a small deviation.

Asymptotic solutions of forced nonlinear second order differential equations and their extensions.

Asymptotic Stability Analysis of ...-Methods for Functional Differential Equations.

Asymptotic stability and instability with respect to part of variables for solutions to impulsive systems.

Currently displaying 1161 – 1180 of 1233