Adapted Riccati technique and non-oscillation of linear and half-linear equations
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Year of publication | 2018 |
Type | Article in Periodical |
Magazine / Source | Applied Mathematics Letters |
MU Faculty or unit | |
Citation | HASIL, Petr; Jakub JURÁNEK and Michal VESELÝ. Adapted Riccati technique and non-oscillation of linear and half-linear equations. Applied Mathematics Letters. KIDLINGTON, OXFORD OX5 1GB, ENGLAND: PERGAMON-ELSEVIER SCIENCE LTD, 2018, vol. 82, August 2018, p. 98-105. ISSN 0893-9659. Available from: https://doi.org/10.1016/j.aml.2018.03.003. |
web | http://dx.doi.org/10.1016/j.aml.2018.03.003 |
Doi | https://doi.org/10.1016/j.aml.2018.03.003 |
Keywords | Riccati technique; p-Laplacian; half-linear equation; non-oscillation criterion; Riccati equation; oscillation theory; linear differential equation |
Description | The aim of this paper is to mention a generalization of the adapted Riccati equation and, using this method, to prove a non-oscillatory result concerning half-linear differential equations with coefficients having mean values. Note that this result is new even for linear equations. |
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