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.
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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     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/

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[3] Kozakiewicz E.: Conditions for the absence of positive solutions of first order differential inequalities with deviating arguments. 4th. Int. Coll. on Differential Equations, pp. 157-161, D. Bainov and V. Covachev (eds.), VSP 1994. | MR | Zbl

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