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Integral criteria of oscillation for a third order linear differential equation

Anton Škerlík — 1995

Mathematica Slovaca

Criteria of property $A$ for third order superlinear differential equations

Anton Škerlík — 1993

Mathematica Slovaca

Oscillation theorems for third order nonlinear differential equations

Anton Škerlík — 1992

Mathematica Slovaca

An integral condition of oscillation for equation $y^{'''} + p (t) y^{'} + q (t) y = 0$ with nonnegative coefficients

Anton Škerlík — 1995

Archivum Mathematicum

Our aim in this paper is to obtain a new oscillation criterion for equation $y^{'''} + p (t) y^{'} + q (t) y = 0$ with a nonnegative coefficients which extends and improves some oscillation criteria for this equation. In the special case of equation (*), namely, for equation $y^{'''} + q (t) y = 0$ , our results solve the open question of $C h a n t u r i y a$ .

On a conjecture about an integral criterion for oscillation

Uri Elias; Anton Škerlík — 1998

Archivum Mathematicum

We discuss an open question of Kiguradze and Chanturia about Property $A$ and Property $B$ for the equation $y^{(n)} + p y = 0$ . The proposed integral criterion is proved in a few cases.

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Currently displaying 1 – 5 of 5

Integral criteria of oscillation for a third order linear differential equation

Criteria of property A for third order superlinear differential equations

Oscillation theorems for third order nonlinear differential equations

An integral condition of oscillation for equation y ' ' ' + p ( t ) y ' + q ( t ) y = 0 with nonnegative coefficients

On a conjecture about an integral criterion for oscillation

Criteria of property $A$ for third order superlinear differential equations

An integral condition of oscillation for equation $y^{'''} + p (t) y^{'} + q (t) y = 0$ with nonnegative coefficients