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Oscillation and non-oscillation of half-linear differential equations with coeffcients determined by functions having mean values
- Source :
- Open Mathematics, Vol 16, Iss 1, Pp 507-521 (2018)
- Publication Year :
- 2018
- Publisher :
- De Gruyter, 2018.
-
Abstract
- The paper belongs to the qualitative theory of half-linear equations which are located between linear and non-linear equations and, at the same time, between ordinary and partial differential equations. We analyse the oscillation and non-oscillation of second-order half-linear differential equations whose coefficients are given by the products of functions having mean values and power functions. We prove that the studied very general equations are conditionally oscillatory. In addition, we find the critical oscillation constant.
Details
- Language :
- English
- ISSN :
- 23915455 and 20180047
- Volume :
- 16
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.622b1cde63b4bf1b0fd445db5c4081e
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2018-0047