Remarks on a paper of C. Huang.
The author considers a second-order linear differential equation. By using the Lyapunov inequality, some new interval oscillation and nonoscillation criteria are obtained. The criteria depend on the local integrability of the coefficient in a finite interval not as usual on the half-line. The results extend and improve some well-known oscillation and nonoscillation results. A comparison with the results of Hill for oscillations of second-order linear equations also are given. These results are extended to second-order linear delay differential equations. To illustrate the main results, the author applies the results, to the Euler equation and proves that the results are sharp.
Ordinary and delay differential equations
scientific article; zbMATH DE number 2056503