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Displaying 361 – 380 of 388

Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations.

Gühring, Gabriele, Räbiger, Frank (1999)

Abstract and Applied Analysis

Asymptotic properties of one differential equation with unbounded delay

Zdeněk Svoboda (2012)

Mathematica Bohemica

We study the asymptotic behavior of the solutions of a differential equation with unbounded delay. The results presented are based on the first Lyapunov method, which is often used to construct solutions of ordinary differential equations in the form of power series. This technique cannot be applied to delayed equations and hence we express the solution as an asymptotic expansion. The existence of a solution is proved by the retract method.

Asymptotic properties of solutions of a second order nonlinear delay differential equation

Ján Ohriska (1981)

Mathematica Slovaca

Asymptotic properties of solutions of the differential equation ${A_{n - 1}^{- 1} (t) \dots {[A_{1}^{- 1} (t) y^{'}]}^{'} \dots}^{'} = A_{n} (t) y + F (t)$

Ivo Res (1979)

Archivum Mathematicum

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 361 – 380 of 388

Previous Page 19 Next

Displaying 361 – 380 of 388

Asymptotic properties of mild solutions of nonautonomous evolution equations with applications to retarded differential equations.

Asymptotic properties of one differential equation with unbounded delay

Asymptotic properties of solutions of a second order nonlinear delay differential equation

Asymptotic properties of solutions of the differential equation ${A_{n - 1}^{- 1} (t) \dots {[A_{1}^{- 1} (t) y^{'}]}^{'} \dots}^{'} = A_{n} (t) y + F (t)$

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

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

Asymptotic stability for dynamic equations on time scales.

Asymptotic stability of linear differential equations in Banach spaces

Asymptotic stability of switching systems.

Asymptotic theory for a critical case for a general fourth-order differential equation.

Asymptotically linear solutions for some linear fractional differential equations.

Asymptotics for some nonlinear damped wave equation : finite time convergence versus exponential decay results

Asymptotische Eigenschaften der Differentialgleichung $y^{''} + 2 a_{1} (x) y^{'} + a_{2} (x) y = 0$

Currently displaying 361 – 380 of 388