Pregled bibliografske jedinice broj: 293237
On approximations of solutions of second order linear differential equations
On approximations of solutions of second order linear differential equations // Numerical Methods and Approximation Theory / Milovanović, Gradimir (ur.).
Niš: Faculty of Electronic Engineering, University of Niš, 1984. str. 107-112 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
On approximations of solutions of second order linear differential equations
Autori
Vrdoljak, Božo
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Numerical Methods and Approximation Theory
/ Milovanović, Gradimir - Niš : Faculty of Electronic Engineering, University of Niš, 1984, 107-112
Skup
Numerical Methods and Approximation Theory
Mjesto i datum
Niš, Srbija, 26.09.1984. - 28.09.1984
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
linear differential equation; stability of solutions; approximation of solutions
Sažetak
The paper deals with second order linear differential equation with functional coefficients. For the corresponding sufficient conditions we obtain results on approximation of certain classes of Cauchy's solutions and on behaviour and stability of all solutions. The results were obtained by transforming the second order linear equation to a respective linear system of equations and by studing solutions of that system with respect to the "circular" neighbourhood of an integral curve. The obtained results are generalized to a quasi-linear equation as well.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split