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Oscillation results for second order nonlinear differential equations

100%

Džurina J., Lacková D.

Open Mathematics

2004

tom 2

nr 1

57-66

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.

Oscillations of linear integro-differential equations

88%

Olach R., Šamajová H.

Open Mathematics

2005

tom 3

nr 1

98-104

Sufficient conditions which guarantee that certain linear integro-differential equation cannot have a positive solution are established.

Ograniczanie wyników

2 Open Mathematics

1 Džurina J.

1 Lacková D.

1 Olach R.

1 Šamajová H.

1 2005

1 2004

Wyniki wyszukiwania

Oscillation results for second order nonlinear differential equations

Oscillations of linear integro-differential equations