Pregled bibliografske jedinice broj: 952040
Local extrema of positive solutions of nonlinear functional differential equations
Local extrema of positive solutions of nonlinear functional differential equations // Electronic journal of differential equations, 2018 (2018), 158; 1-11 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 952040 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Local extrema of positive solutions of nonlinear functional differential equations
Autori
Chatzarakis, George E ; Horvat Dmitrović, Lana ; Pašić, Mervan
Izvornik
Electronic journal of differential equations (1072-6691) 2018
(2018), 158;
1-11
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Functional differential equations ; local non-monotonicity ; integral criteria ; Rayleigh quotient ; delay ; advance ; super-sub linear nonlinearity
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
