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New oscillation criteria of special type second-order non-linear dynamic equations on time scales
By the Riccati transformation technique, we study some new oscillatory properties for the second-order dynamic equation on an arbitrary time scale T . We also establish the Kamenev-type and Philos-type oscillation criteria. At the end, we give examples which illustrate our main results.
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Published in: | Mathematical sciences (Karaj, Iran) Iran), 2018-03, Vol.12 (1), p.25-39 |
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Main Authors: | , , , |
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container_end_page | 39 |
container_issue | 1 |
container_start_page | 25 |
container_title | Mathematical sciences (Karaj, Iran) |
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creator | Negi, Shekhar Singh Abbas, Syed Malik, Muslim Xia, Yong-Hui |
description | By the Riccati transformation technique, we study some new oscillatory properties for the second-order dynamic equation on an arbitrary time scale
T
.
We also establish the Kamenev-type and Philos-type oscillation criteria. At the end, we give examples which illustrate our main results. |
doi_str_mv | 10.1007/s40096-018-0241-9 |
format | article |
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T
.
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T
.
We also establish the Kamenev-type and Philos-type oscillation criteria. At the end, we give examples which illustrate our main results.</description><subject>Applications of Mathematics</subject><subject>Criteria</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Nonlinear equations</subject><subject>Original Research</subject><issn>2008-1359</issn><issn>2251-7456</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNp1UE1PwzAMrRBITLAfwC0S54CTJm1zRBNf0gQXOEchcVGmLumSTmj_noxy4IIPtmW992y_qrpicMMA2tssAFRDgXUUuGBUnVQLziWjrZDNaekBOspqqc6rZc4bKNG2CoRcVOYFv0jM1g-DmXwMxCY_YfKGxJ7kEa03A5kOI5KMNgZHY3KYSIiBDj6gScQdgtl6S3C3_1HIpKhMflsY1gyYL6uz3gwZl7_1onp_uH9bPdH16-Pz6m5NbTlsoh0KbhgwyYWVYOsWZLmy6bBtVP9hJbe9QAnOtK4BVwZGCO7Kl9ZBXTd9fVFdz7pjirs95klv4j6FslIzpWohRMkFxWaUTTHnhL0ek9-adNAM9NFMPZupi5n6aKZWhcNnTi7Y8Inpj_K_pG8EyXcv</recordid><startdate>20180301</startdate><enddate>20180301</enddate><creator>Negi, Shekhar Singh</creator><creator>Abbas, Syed</creator><creator>Malik, Muslim</creator><creator>Xia, Yong-Hui</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20180301</creationdate><title>New oscillation criteria of special type second-order non-linear dynamic equations on time scales</title><author>Negi, Shekhar Singh ; Abbas, Syed ; Malik, Muslim ; Xia, Yong-Hui</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-8e42a101524c50c370500768e769fbc52cf4e50da7d60dbc5a442d225cd0336f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Applications of Mathematics</topic><topic>Criteria</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Nonlinear equations</topic><topic>Original Research</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Negi, Shekhar Singh</creatorcontrib><creatorcontrib>Abbas, Syed</creatorcontrib><creatorcontrib>Malik, Muslim</creatorcontrib><creatorcontrib>Xia, Yong-Hui</creatorcontrib><collection>SpringerOpen</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection><jtitle>Mathematical sciences (Karaj, Iran)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Negi, Shekhar Singh</au><au>Abbas, Syed</au><au>Malik, Muslim</au><au>Xia, Yong-Hui</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>New oscillation criteria of special type second-order non-linear dynamic equations on time scales</atitle><jtitle>Mathematical sciences (Karaj, Iran)</jtitle><stitle>Math Sci</stitle><date>2018-03-01</date><risdate>2018</risdate><volume>12</volume><issue>1</issue><spage>25</spage><epage>39</epage><pages>25-39</pages><issn>2008-1359</issn><eissn>2251-7456</eissn><abstract>By the Riccati transformation technique, we study some new oscillatory properties for the second-order dynamic equation on an arbitrary time scale
T
.
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language | eng |
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subjects | Applications of Mathematics Criteria Mathematics Mathematics and Statistics Nonlinear equations Original Research |
title | New oscillation criteria of special type second-order non-linear dynamic equations on time scales |
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