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Asymptotic forms of solutions of half-linear ordinary differential equation $(| u^{'} |^{α - 1} u^{'})^{'} = α (1 + b (t)) {| u |}^{α - 1} u$ are investigated under a smallness condition and some signum conditions on $b (t)$ . When $α = 1$ , our results reduce to well-known ones for linear ordinary differential equations.

Asymptotic forms of weakly increasing positive solutions for quasilinear ordinary differential equations.

Kamo, Ken-ichi, Usami, Hiroyuki (2007)

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

Asymptotic formulas for solutions of functional-differential equations

Ján Futák (1986)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Asymptotic formulas for solutions of the equation ${[p (t) y^{'}]}^{'} = q (t) y + r (t)$

Miloš Ráb (1974)

Archivum Mathematicum

Asymptotic integration of a nonhomogeneous differential equation with integrable coefficients

Thomas G. Hallam (1971)

Czechoslovak Mathematical Journal

Asymptotic numerical method for singularly perturbed third order ordinary differential equations with a discontinuous source term.

Valanarasu, T., Ramanujam, T. (2007)

Novi Sad Journal of Mathematics

Asymptotic properties of derivatives of central dispersions of the $k$ -th kind for the differential equation $y^{''} = q (t) y$

Staněk, Svatoslav (1977)

Czechoslovak Mathematical Journal

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

Josef Kalas (1981)

Archivum Mathematicum

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Displaying 61 – 80 of 96

Asymptotic behaviour of the solutions of a certain type of the third order differential equations

Asymptotic equivalence of differential equations with Stepanoff-bounded functional perturbation

Asymptotic equivalence of second order differential equations

Asymptotic expansion formulas for the maximum of solutions to diffusive logistic equations.

Asymptotic expansions of canards with poles. Application to the stationary unidimensional Schrödinger equation.

Asymptotic expansions of solutions of the equation ${(p (x) y^{'})}^{'} - q (x) y = 0$ with complex-valued coefficients

Asymptotic forms of solutions of perturbed half-linear ordinary differential equations

Asymptotic forms of weakly increasing positive solutions for quasilinear ordinary differential equations.

Asymptotic formulas for solutions of functional-differential equations

Asymptotic formulas for solutions of the equation ${[p (t) y^{'}]}^{'} = q (t) y + r (t)$

Asymptotic integration of a nonhomogeneous differential equation with integrable coefficients

Asymptotic numerical method for singularly perturbed third order ordinary differential equations with a discontinuous source term.

Asymptotic properties of derivatives of central dispersions of the $k$ -th kind for the differential equation $y^{''} = q (t) y$

Asymptotic properties of one differential equation with unbounded delay

Asymptotic properties of solutions of a certain third-order differential equation with an oscillatory restoring term

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

Asymptotic properties of solutions of differential systems with deviating argument

Asymptotic properties of solutions of differential systems with deviating arguments

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

Currently displaying 61 – 80 of 96