Local extrema of positive solutions of nonlinear functional differential equations (CROSBI ID 254196)
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Podaci o odgovornosti
Chatzarakis, George E ; Horvat Dmitrović, Lana ; Pašić, Mervan
engleski
Local extrema of positive solutions of nonlinear functional differential equations
We study the positive solutions of a general class of second- order functional differential equations, which includes delay, advanced, and delay-advanced equations. We establish integral conditions on the coefficients on a given bounded interval J such that every positive solution has a local maximum in J. Then, we use the connection between that integral condition and Rayleigh quotient to get a sufficient condition that is easier to be applied. Several examples are provided to demonstrate the importance of our results.
Functional differential equations ; local non-monotonicity ; integral criteria ; Rayleigh quotient ; delay ; advance ; super-sub linear nonlinearity
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