Necessary and sufficient conditions for oscillation of second-order differential equations with nonpositive neutral coefficients

In this work, we present necessary and sufficient conditions for oscillation of all solutions of a second-order functional differential equation of type (r(t)(z'(t))^\gamma)' +\sum_{i=1}^m q_i(t)x^{\alpha_i}(\sigma_i(t))=0, \quad t\geq t_0, where $z(t)=x(t)+p(t)x(\tau(t))$. Under the...

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Bibliographic Details
Main Authors: Arun K. Tripathy, Shyam S. Santra
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2021-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/146/2/mb146_2_6.pdf