Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations
Copyright policy )Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations
We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equation is ensured by the divergence of a certain integral. The second one provides the condition of the oscillation in the case where the relevant integral converges, and it can be seen as a Hille–Nehari-type criterion. The use of the results is shown in several examples, in which the Euler-type equation and its perturbations are considered.
- Tomas Bata University in Zlín Czech Republic
- Mendel University Brno Czech Republic
half-linear neutral differential equation, QA1-939, oscillation criteria, modified Riccati technique, Mathematics
half-linear neutral differential equation, QA1-939, oscillation criteria, modified Riccati technique, Mathematics
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