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Displaying 361 – 380 of 806

On oscillation of solutions of forced nonlinear neutral differential equations of higher order

N. Parhi, Radhanath N. Rath (2003)

Czechoslovak Mathematical Journal

In this paper, necessary and sufficient conditions are obtained for every bounded solution of ${[y (t) - p (t) y (t - τ)]}^{(n)} + Q (t) G (y (t - σ)) = f (t), t \geq 0, (*)$ to oscillate or tend to zero as $t \to \infty$ for different ranges of $p (t)$ . It is shown, under some stronger conditions, that every solution of $(*)$ oscillates or tends to zero as $t \to \infty$ . Our results hold for linear, a class of superlinear and other nonlinear equations and answer a conjecture by Ladas and Sficas, Austral. Math. Soc. Ser. B 27 (1986), 502–511, and generalize some known results.

On oscillation of solutions of linear deviating differential equation

Rudolf Oláh (1985)

Archivum Mathematicum

On oscillation of solutions of linear ordinary differential equations

Chanturia, Teimuraz A. (1986)

Equadiff 6

On oscillation of solutions of nonlinear retarded differential equation of Emden-Fowler type

Rudolf Oláh (1984)

Czechoslovak Mathematical Journal

On oscillations of solutions and their derivatives in a nonlinear third-order differential equation

Staněk, Svatoslav (1988)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On oscillatory linear differential equations of third order

N. Parhi, Seshadev Padhi (2001)

Archivum Mathematicum

Sufficient conditions are obtained in terms of coefficient functions such that a linear homogeneous third order differential equation is strongly oscillatory.

The paper deals with the oscillation of a differential equation $L_{4} y + P (t) L_{2} y + Q (t) y \equiv 0$ as well as with the structure of its fundamental system of solutions.

Currently displaying 361 – 380 of 806

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Displaying 361 – 380 of 806

On oscillation of solutions of forced nonlinear neutral differential equations of higher order

On oscillation of solutions of linear deviating differential equation

On oscillation of solutions of linear ordinary differential equations

On oscillation of solutions of nonlinear retarded differential equation of Emden-Fowler type

On oscillations of solutions and their derivatives in a nonlinear third-order differential equation

On oscillatory linear differential equations of third order

On oscillatory properties of an $n$ -th order system of differential equations with deviating arguments.

On oscillatory properties of an $n$ -th-order system of linear differential equations with deviating arguments.

On oscillatory properties of second order systems of ordinary differential equations.

On oscillatory properties of solutions of a certain nonlinear third order differential equation

On oscillatory properties of solutions of functional differential equations.

On oscillatory solution of the differential equations of the $n$ -th order

On oscillatory solutions of differential inequalities

On oscillatory solutions of fourth order ordinary differential equations

On oscillatory solutions of nonlinear differential equations of the $n$ -th order vanishing at infinity

On oscillatory solutions of third order differential equation with quasiderivatives.

On oscillatory solutions of third-order linear differential equations

On perturbed iterative linear differential equations of order $n$ .

On proper oscillatory and vanishing-at-infinity solutions of differential equations with a deviating argument.

On proper oscillatory solutions of the nonlinear differential equations of the $n$ -th order

Currently displaying 361 – 380 of 806