Iterated oscillation criteria for delay dynamic equations of first order

B. Karpuz; O. Öcalan; Martin Bohner

doi:10.1155/2008/458687

Iterated oscillation criteria for delay dynamic equations of first order

B. Karpuz
, O. Öcalan
, Martin Bohner

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain new sufficient conditions for the oscillation of all solutions of first-order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential and difference equations. Examples, some of which coincide with well-known results on particular time scales, are provided to illustrate the applicability of our results.

Original language	American English
Journal	Advances in Difference Equations
DOIs	https://doi.org/10.1155/2008/458687
State	Published - Jan 1 2008

Keywords

Delay dynamic equations
oscillation

Disciplines

Mathematics
Statistics and Probability

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title = "Iterated oscillation criteria for delay dynamic equations of first order",

abstract = " We obtain new sufficient conditions for the oscillation of all solutions of first-order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential and difference equations. Examples, some of which coincide with well-known results on particular time scales, are provided to illustrate the applicability of our results.",

keywords = "Delay dynamic equations, oscillation",

author = "B. Karpuz and O. {\"O}calan and Martin Bohner",

year = "2008",

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doi = "10.1155/2008/458687",

language = "American English",

journal = "Advances in Difference Equations",

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TY - JOUR

T1 - Iterated oscillation criteria for delay dynamic equations of first order

AU - Karpuz, B.

AU - Öcalan, O.

AU - Bohner, Martin

PY - 2008/1/1

Y1 - 2008/1/1

N2 - We obtain new sufficient conditions for the oscillation of all solutions of first-order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential and difference equations. Examples, some of which coincide with well-known results on particular time scales, are provided to illustrate the applicability of our results.

AB - We obtain new sufficient conditions for the oscillation of all solutions of first-order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential and difference equations. Examples, some of which coincide with well-known results on particular time scales, are provided to illustrate the applicability of our results.

KW - Delay dynamic equations

KW - oscillation

UR - https://scholarsmine.mst.edu/math_stat_facwork/157

U2 - 10.1155/2008/458687

DO - 10.1155/2008/458687

M3 - Article

SN - 1687-1847

JO - Advances in Difference Equations

JF - Advances in Difference Equations

ER -

Iterated oscillation criteria for delay dynamic equations of first order

Abstract

Keywords

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