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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.

Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations

63%

Akdad A.-N., Ezzinbi K., Souden L.

Nonautonomous Dynamical Systems

2015

tom 2

nr 1

In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.

Ograniczanie wyników

1 Nonautonomous Dynamical Systems

1 Open Mathematics

1 Akdad A.-N.

1 Džurina J.

1 Ezzinbi K.

1 Lacková D.

1 Souden L.

1 2015

1 2004

Wyniki wyszukiwania

Oscillation results for second order nonlinear differential equations

Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations