×

Oscillation criteria of second-order generalized Emden-Fowler delay differential equations with a sub-linear neutral term. (Chinese. English summary) Zbl 07403564

Summary: In this paper, we study the oscillation of second order generalized Emden-Fowler delay differential equations with a sub-linear neutral term. Under the irregularity condition, by using Riccati transformation and the inequalities technique, several simple new oscillation criteria of this kind of equations to ensure that every solution oscillates are established. These oscillation criteria generalize and improve the classical research results including those adapted to Euler equations established in previous literatures. Finally, some examples to verify the wide application of these oscillation criteria are given in this paper.

MSC:

34K11 Oscillation theory of functional-differential equations
34K40 Neutral functional-differential equations
PDF BibTeX XML Cite