Conditional oscillation of half-linear differential equations with periodic coefficients

Petr Hasil

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Displaying similar documents to “Conditional oscillation of half-linear differential equations with periodic coefficients”

Property $A$ of the ${(n + 1)}^{t h}$ order differential equation ${[\frac{1}{r_{1} (t)} (x^{(n)} (t) + p (t) x (t))]}^{'} = f (t, x (t), \dots, x^{(n)} (t))$

Monika Kováčová (2000)

Archivum Mathematicum

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On the oscillation of third-order quasi-linear neutral functional differential equations

Ethiraju Thandapani, Tongxing Li (2011)

Archivum Mathematicum

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The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation ${[a (t) {({[x (t) + p (t) x (δ (t))]}^{''})}^{α}]}^{'} + q (t) x^{α} (τ (t)) = 0, E$ where $α > 0$ , $0 \leq p (t) \leq p_{0} < \infty$ and $δ (t) \leq t$ . By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of () is either oscillatory or converges to zero. These results improve some known results in the literature. Two examples are given to illustrate the main results.

Displaying similar documents to “Conditional oscillation of half-linear differential equations with periodic coefficients”

Property A of the ( n + 1 ) t h order differential equation 1 r 1 ( t ) x ( n ) ( t ) + p ( t ) x ( t ) ' = f ( t , x ( t ) , ⋯ , x ( n ) ( t ) )

On the oscillation of third-order quasi-linear neutral functional differential equations

Property $A$ of the ${(n + 1)}^{t h}$ order differential equation ${[\frac{1}{r_{1} (t)} (x^{(n)} (t) + p (t) x (t))]}^{'} = f (t, x (t), \dots, x^{(n)} (t))$