Oscillatory criteria for the second order linear ordinary differential equations

Year, pages: 2019, 857 - 870

The Riccati equation method is used to establish three new oscillatory criteria for the second order linear ordinary differential equations. We show that the first of these criteria in the continuous case of the coefficient function (potential) of the equation implies the J. Deng's oscillatory criterion. An extremal oscillatory condition for the Mathieu's equation is obtained. The obtained results are compared with some known oscillatory criteria.

Grigorian, G. 2019. Oscillatory criteria for the second order linear ordinary differential equations. In Mathematica Slovaca, vol. 69, no.4, pp. 857-870. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0274

Grigorian, G. (2019). Oscillatory criteria for the second order linear ordinary differential equations. Mathematica Slovaca, 69(4), 857-870. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0274

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava