Geodesic
Oscillation theorems for neutral differential equations with the quasi-derivatives
Archivum mathematicum, Tome 30 (1994) no. 4, pp. 293-300 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The authors study the n-th order nonlinear neutral differential equations with the quasi – derivatives $L_n[x(t)+(-1)^r P(t) x(g(t))]+\delta Q(t) f(x(h(t))) = 0,$ where $\ n \ge 2,\ r \in \lbrace 1,2\rbrace ,\ $ and $ \delta = \pm 1.$ There are given sufficient conditions for solutions to be either oscillatory or they converge to zero.
The authors study the n-th order nonlinear neutral differential equations with the quasi – derivatives $L_n[x(t)+(-1)^r P(t) x(g(t))]+\delta Q(t) f(x(h(t))) = 0,$ where $\ n \ge 2,\ r \in \lbrace 1,2\rbrace ,\ $ and $ \delta = \pm 1.$ There are given sufficient conditions for solutions to be either oscillatory or they converge to zero.
Classification : 34C10, 34K15, 34K25, 34K40, 34K99
Keywords: neutral differential equation; oscillatory (nonoscillatory) solution; quasi derivatives 
@article{ARM_1994_30_4_a6,
     author = {R\r{u}\v{z}i\v{c}kov\'a, M. and \v{S}p\'anikov\'a, E.},
     title = {Oscillation theorems for neutral differential equations with the quasi-derivatives},
     journal = {Archivum mathematicum},
     pages = {293--300},
     year = {1994},
     volume = {30},
     number = {4},
     mrnumber = {1322574},
     zbl = {0819.34046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1994_30_4_a6/}
}
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Růžičková, M.; Špániková, E. Oscillation theorems for neutral differential equations with the quasi-derivatives. Archivum mathematicum, Tome 30 (1994) no. 4, pp. 293-300. http://geodesic.mathdoc.fr/item/ARM_1994_30_4_a6/