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Some notes on one oscillatory condition of neutral differential equations

100%
Mihalíková B., Chomová E.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2006
|
tom 26
|
nr 1
103-112
EN
The aim of this paper is to present sufficient conditions for all bounded solutions of the second order neutral differential equations of the form (r(t)(x(t) - px(t-τ))')' - q(t)f(x(σ(t))) = 0 to be oscillatory and to compare some existing results.
2

Oscillations of neutral differential systems

100%
Mihalíková B.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
1999
|
tom 19
|
nr 1-2
5-15
EN
The aim of this paper is to present the sufficient conditions for oscillation of solutions of the system of differential equations of neutral type.
3
Content available remote

Oscillatory and nonoscillatory solutions of neutral differential equations

80%
Tanaka S.
Annales Polonici Mathematici
|
2000
|
tom 73
|
nr 2
169-184
EN
Neutral differential equations are studied. Sufficient conditions are obtained to have oscillatory solutions or nonoscillatory solutions. For the existence of solutions, the Schauder-Tikhonov fixed point theorem is used.
4

Global attractor for nonlinear recurrence of second order

80%
Bobrowski D.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
1997
|
tom 17
|
nr 1-2
83-88
EN
This paper contains some sufficient condition for the point zero to be a global attractor for nonlinear recurrence of second order.
5
Content available remote

Oscillation results for second order nonlinear differential equations

80%
Džurina J., Lacková D.
Open Mathematics
|
2004
|
tom 2
|
nr 1
57-66
EN
In this paper, the authors present some new results for the oscillation of the second order nonlinear neutral differential equations of the form $$\left( {r\left( t \right)\psi \left( {x\left( t \right)} \right)\left[ {x\left( t \right) + p\left( t \right)x\left( {\tau \left( t \right)} \right)} \right]^\prime } \right)^\prime + q\left( t \right)f\left( {x\left[ {\sigma \left( t \right)} \right]} \right) = 0$$ . Easily verifiable criteria are obtained that are also new for differential equations without neutral term i.e. for p(t)≡0.
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