Geodesic
Oscillatory and asymptotic behaviour of solutions of advanced functional equations
Archivum mathematicum, Tome 29 (1993) no. 3-4, pp. 161-166 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we compare the asymptotic behaviour of the advanced functional equation \[ L_nu(t)-F\big (t,u[g(t)]\big )= 0\] with the asymptotic behaviour of the set of ordinary functional equations \[ \alpha _iu(t)-F\big (t,u(t)\big )= 0. \] On the basis of this comparison principle the sufficient conditions for property (B) of equation (*) are deduced.
In this paper we compare the asymptotic behaviour of the advanced functional equation \[ L_nu(t)-F\big (t,u[g(t)]\big )= 0\] with the asymptotic behaviour of the set of ordinary functional equations \[ \alpha _iu(t)-F\big (t,u(t)\big )= 0. \] On the basis of this comparison principle the sufficient conditions for property (B) of equation (*) are deduced.
Classification : 34C10, 34K15, 34K99
Keywords: comparison theorem; advanced argument; property (B) 
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     title = {Oscillatory and asymptotic behaviour of solutions of advanced functional equations},
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Džurina, Jozef. Oscillatory and asymptotic behaviour of solutions of advanced functional equations. Archivum mathematicum, Tome 29 (1993) no. 3-4, pp. 161-166. http://geodesic.mathdoc.fr/item/ARM_1993_29_3-4_a4/

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