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  • In the paper the second order half-linear delay differential equation with coefficient r (in the differential term) and c (in the second term) is studied under the condition on the convergence of the integral involving the coefficient r. The oscillation criterion proved by Sun and Meng (2006, Theorem 2.2) is carefully examined and improved by simplifying and sharpening the estimates used in the original proof and removing unnecessary assumptions. Among others, using elementary arguments we show that an arbitrary positive nondecreasing weight function from this criterion can be safely and with no loss of generality replaced by a constant function. An extension to other related equations, such as neutral equations is also provided.
  • In the paper the second order half-linear delay differential equation with coefficient r (in the differential term) and c (in the second term) is studied under the condition on the convergence of the integral involving the coefficient r. The oscillation criterion proved by Sun and Meng (2006, Theorem 2.2) is carefully examined and improved by simplifying and sharpening the estimates used in the original proof and removing unnecessary assumptions. Among others, using elementary arguments we show that an arbitrary positive nondecreasing weight function from this criterion can be safely and with no loss of generality replaced by a constant function. An extension to other related equations, such as neutral equations is also provided. (en)
Title
  • Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006)
  • Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006) (en)
skos:prefLabel
  • Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006)
  • Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006) (en)
skos:notation
  • RIV/62156489:43410/14:00224973!RIV15-GA0-43410___
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  • P(GAP201/10/1032)
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  • 1 December 2014
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  • 42128
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  • RIV/62156489:43410/14:00224973
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  • half-linear differential equation; oscillation criteria (en)
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  • US - Spojené státy americké
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  • [1F9095159743]
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  • Applied Mathematics and Computation
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  • 248
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  • Mařík, Robert
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  • 345124800026
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  • 0096-3003
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  • 10.1016/j.amc.2014.09.100
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  • 43410
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