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Oscillatory criteria via linearization of half-linear second order delay differential equations

100%

Baculikova B. , Dzurina J.

Opuscula Mathematica

2020

tom Vol. 40, no. 5

523--536

In the paper, we study oscillation of the half-linear second order delay differential equations of the form [formula]. We introduce new monotonic properties of its nonoscillatory solutions and use them for linearization of considered equation which leads to new oscillatory criteria. The presented results essentially improve existing ones.

About oscillatory behavior of solutions when passing from difference to differential equations

100%

Komashynska I. , Ateiwi A.

2005

tom Vol. 38, nr 4

867--874

We study a second order difference equations. We obtain conditions of preservation of solutions when passmg from difference to differential equations.

Second order evolution equations with nonlocal conditions

58%

Benchohra M. , Nieto J. J. , Rezoug N.

Demonstratio Mathematica

2017

tom Vol. 50, nr 1

309--319

In this paper, we shall establish sufficient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces. Our approach is based on the concepts of Hausdorff measure, noncompactness and Tikhonoff’s fixed point theorem. We give an example for illustration.