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Complex oscillation of a second order linear differential equation with entire coefficients of (α,β)-order

Belaïdi Benharrat, Biswas Tanmay

Silesian Journal of Pure and Applied Mathematics

2021

Vol. 11, iss. 1

1--21

In this paper we study distribution of zeros and growth of solutions of second order linear equations depending on the coeﬃcients of the equation and their (α, β)-order. We obtain results in general form, which considerably extend some results from [21].

Oscillatory results for second-order noncanonical delay differential equations

Dzurina Jozef, Jadlovska Irena, Stavroulakis Ioannis P.

Opuscula Mathematica

2019

Vol. 39, no. 4

483--495

The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation [formula] under the condition [formula]. Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.