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- Title
OSCILLATION CRITERIA FOR THE SECOND ORDER LINEAR FUNCTIONAL - DIFFERENTIAL EQUATIONS WITH LOCALLY INTEGRABLE COEFFICIENTS.
- Authors
GRIGORIAN, G. A.
- Abstract
The Riccati equation method is used to establish some oscillatory criteria for the second order linear functional - differential equations of multiple terms with locally integrable coefficients. An interval oscillation criterion for the second order linear functional - differential equations is proved. We have obtained a generalization of an oscillation theorem of L. Berezanski and E. Braverman, a generalization of the well known Fite's oscillation criterion and a new global solvability criterion for the second order linear functional - differential equations with advanced and retarded arguments.
- Subjects
RICCATI equation; ABSORPTION coefficients; DIFFERENTIAL equations; OSCILLATIONS; BRAVERMAN, E.
- Publication
Sarajevo Journal of Mathematics, 2018, Vol 14, Issue 1, p71
- ISSN
1840-0655
- Publication type
Article
- DOI
10.5644./SJM/14.1.07