Asymptotic form of the solutions of ordinary differential equations ...

ASYMPTOTIC SOLUTIONS OF ORDINARY DIFFERENTIAL ...

The amplitudes φ/ of the expansion (2.39) satisfy the transport equations (1.29) corresponding to the phase S3_y in U+ C\Up. PROOF. 1. We ...

Asymptotic analysis of solutions of ordinary differential equations ...

Abstract. Ordinary differential equations of the form $ \tau(y)- \lambda ^{2m} \varrho(x) y=0, \qquad \tau(y) =\sum_{k,s=0}^m(\tau_{k ...

Asymptotic theory of second order differential equations with two ...

Thus, it would appear that the behavior of solutions of. (1.') over the entire region ~,, which contains two simple turning points, is obtainable by the ...

asymptotic forms of weakly increasing positive solutions for ...

called weakly increasing solutions to quasilinear ordinary differential equations. 1. Introduction. In this paper we consider the equation.

Asymptotic behavior of increasing positive solutions of second order ...

The existence and asymptotic behavior at infinity of increasing positive solutions of second order quasilinear ordinary differential ...

(PDF) Solvability and asymptotic behavior of solutions of ordinary ...

Asymptotic behavior of solutions of ordinary differential equations in the case where the right part is a product of two differential expressions with ...

differential equations - Asymptotic solution of a system of ODEs

But I need to know an asymptotic expansion of a[u] as u→∞. Even the coefficient of the lowest order term ∼1/u ...

FUNCTIONAL DIFFERENTIAL EQUATIONS ASYMPTOTIC ... - EMIS

In the present article we study the asymptotic behavior of solutions of a linear ordinary differential equation of order n with a turning point of degree k, ...

Asymptotic analysis of solutions of ordinary differential equations ...

Keywords: differential equations with distribution coefficients, asymp- totics with respect to the spectral parameter, Birkhoff asymptotics, spectral.

Asymptotic Forms of Slowly Decaying Positive Solutions of ...

Article on Asymptotic Forms of Slowly Decaying Positive Solutions of Quasilinear Ordinary Differential Equations with Critical Exponents, ...

Asymptotic forms of solutions of half-linear ordinary differential ...

Summary: Asymptotic forms of solutions of half-linear ordinary differential equation $\big (|u^{\prime }|^{\alpha -1}u^{\prime }\big )^{\prime }= \alpha ...

asymptotic behavior of solutions to second-order differential ...

More articles devoted to this type of equations can be found in the list of references. The following equation for a pendulum has the ordinary ...

Asymptotic properties of solutions of ordinary differential equations

It is well known (see, e.g, [39]) that if (1.4) holds, then the linear equation (1.6) is nonoscillatory. In [60], a complete analysis of the asymptotic behavior ...

Asymptotic formulas for solutions of a singular linear ordinary ...

By use of the theory of asymptotic expansions for first-order linear systems of ordinary differential equations, asymptotic formulas are obtained for the ...

On Asymptotic Methods in The Theory of Differential Equations of ...

the solutions in the form of asymptotic formulae in the parameter λ, when λ → ∞, or, that is the same, the asymptotic integration theory, became to develop very ...

Asymptotic representations of solutions of the nonautonomous ...

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

Asymptotic solvers for ordinary differential equations with multiple ...

ordinary differential equations (ODEs) of the form ... It is readily seen that the method, typical of standard, Taylor expansion-based ODE solvers, becomes.

Asymptotics of Solutions of Linear Differential Equations with ... - MDPI

This study is devoted to the description of the asymptotic expansions of solutions of linear ordinary differential equations with ...

Relaxation and asymptotic expansion of controlled stiff differential ...

The control of relaxation-type systems of ordinary differential equations is investigated using the Hamilton-Jacobi-Bellman equation.

Asymptotic Theory for a General Second-Order Differential Equation

An asymptotic theory developed for a second-order differential equation. We obtain the form of solutions for some class of the coefficients for large x.