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On oscillation of nonlinear delay differential equations
1987
Quarterly of Applied Mathematics
Preserved Fulltext
Necessary, sufficient, and necessary and sufficient conditions are obtained for all solutions of the nonlinear differential equation + £ 9jf(y(t ~ Tj)) = 0, t> 0, (*) 7 = 1 to be oscillatory. These conditions are expressed in terms of the characteristic equation of the corresponding linear " variational" equation % + £ wi* -T,) = o. '> °-(**) j-1 Our results show that for a certain class of nonlinear functions /, (*) oscillates if and only if (**) oscillates. As an application of our results,
doi:10.1090/qam/885177
fatcat:yeibmknwyreelcju7d77affpua