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Local extrema of positive solutions of nonlinear functional differential equations (CROSBI ID 254196)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Chatzarakis, George E ; Horvat Dmitrović, Lana ; Pašić, Mervan Local extrema of positive solutions of nonlinear functional differential equations // Electronic journal of differential equations, 2018 (2018), 158; 1-11

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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Podaci o izdanju

2018 (158)

2018.

1-11

objavljeno

1072-6691

Povezanost rada

Matematika

Indeksiranost