Geodesic
Conditions for the absence of positive solutions of a first order differential inequality with a single delay
Archivum mathematicum, Tome 31 (1995) no. 4, pp. 291-297.

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A sufficient integral condition for the absence of eventually positive solutions of a first order stable type differential inequality with one nondecreasing retarded argument is given. In the special case of equality the result becomes an oscillation criterion.
Classification : 34A40, 34C10, 34K05, 34K11
Keywords: delay; differential inequality; oscillation 
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     author = {Kozakiewicz, Erwin},
     title = {Conditions for the absence of positive solutions of a first order differential inequality with a single delay},
     journal = {Archivum mathematicum},
     pages = {291--297},
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     zbl = {0849.34054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a5/}
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Kozakiewicz, Erwin. Conditions for the absence of positive solutions of a first order differential inequality with a single delay. Archivum mathematicum, Tome 31 (1995) no. 4, pp. 291-297. http://geodesic.mathdoc.fr/item/ARM_1995__31_4_a5/