Oscillation Criteria for Certain Fourth-Order Nonlinear Delay Differential Equations
In this article, we establish some new criteria for the oscillation of fourth-order nonlinear delay differential equations of the form ( r 2 ( t ) ( r 1 ( t ) ( y ′ ′ ( t ) ) α ) ′ ) ′ + p ( t ) ( y ′ ′ ( t ) ) α + q ( t ) f ( y ( g ( t ) ) ) = 0 provided that the second-order equation ( r 2 ( t ) z...
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| Veröffentlicht in: | Mediterranean journal of mathematics 2016-10, Vol.13 (5), p.2383-2396 |
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| container_title | Mediterranean journal of mathematics |
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| creator | Grace, Said R. Sun, Shurong Akın, Elvan |
| description | In this article, we establish some new criteria for the oscillation of fourth-order nonlinear delay differential equations of the form
(
r
2
(
t
)
(
r
1
(
t
)
(
y
′
′
(
t
)
)
α
)
′
)
′
+
p
(
t
)
(
y
′
′
(
t
)
)
α
+
q
(
t
)
f
(
y
(
g
(
t
)
)
)
=
0
provided that the second-order equation
(
r
2
(
t
)
z
′
(
t
)
)
′
)
+
p
(
t
)
r
1
(
t
)
z
(
t
)
=
0
is nonoscillatory or oscillatory. |
| doi_str_mv | 10.1007/s00009-015-0630-3 |
| format | Article |
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(
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t
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is nonoscillatory or oscillatory.</description><identifier>ISSN: 1660-5446</identifier><identifier>EISSN: 1660-5454</identifier><identifier>DOI: 10.1007/s00009-015-0630-3</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Criteria ; Differential equations ; Mathematical analysis ; Mathematics ; Mathematics and Statistics</subject><ispartof>Mediterranean journal of mathematics, 2016-10, Vol.13 (5), p.2383-2396</ispartof><rights>Springer Basel 2015</rights><rights>Copyright Springer Science & Business Media 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-c1244c9a8e95ecb085a9fa350e26f9c30375bf9f3b0386a184e3aedebf2effcb3</citedby><cites>FETCH-LOGICAL-c316t-c1244c9a8e95ecb085a9fa350e26f9c30375bf9f3b0386a184e3aedebf2effcb3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00009-015-0630-3$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00009-015-0630-3$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Grace, Said R.</creatorcontrib><creatorcontrib>Sun, Shurong</creatorcontrib><creatorcontrib>Akın, Elvan</creatorcontrib><title>Oscillation Criteria for Certain Fourth-Order Nonlinear Delay Differential Equations</title><title>Mediterranean journal of mathematics</title><addtitle>Mediterr. J. Math</addtitle><description>In this article, we establish some new criteria for the oscillation of fourth-order nonlinear delay differential equations of the form
(
r
2
(
t
)
(
r
1
(
t
)
(
y
′
′
(
t
)
)
α
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′
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+
p
(
t
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(
y
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(
t
)
)
α
+
q
(
t
)
f
(
y
(
g
(
t
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)
)
=
0
provided that the second-order equation
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r
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(
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z
′
(
t
)
)
′
)
+
p
(
t
)
r
1
(
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(
t
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is nonoscillatory or oscillatory.</description><subject>Criteria</subject><subject>Differential equations</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>1660-5446</issn><issn>1660-5454</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kLFOwzAQhi0EEqXwAGyWmA3nOHGdEaUtIFV0KbPluGdwFZLWToa-PS5BiAUv5-H_vzt9hNxyuOcAs4cI6ZUMeMFACmDijEy4lMCKvMjPf_-5vCRXMe4AspKLbEI262h905jedy2tgu8xeENdF2iFoTe-pctuCP0HW4ctBvratY1v0QQ6x8Yc6dw7hwHb3puGLg7DNydekwtnmog3P3NK3paLTfXMVuunl-pxxazgsmeWZ3luS6OwLNDWoApTOiMKwEy60goQs6J2pRM1CCUNVzkKg1usXYbO2VpMyd3I3YfuMGDs9S4d26aVmisFSiaCSik-pmzoYgzo9D74TxOOmoM-ydOjPJ3k6ZM8LVInGzsxZdt3DH_I_5a-AJVYcs0</recordid><startdate>20161001</startdate><enddate>20161001</enddate><creator>Grace, Said R.</creator><creator>Sun, Shurong</creator><creator>Akın, Elvan</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20161001</creationdate><title>Oscillation Criteria for Certain Fourth-Order Nonlinear Delay Differential Equations</title><author>Grace, Said R. ; Sun, Shurong ; Akın, Elvan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-c1244c9a8e95ecb085a9fa350e26f9c30375bf9f3b0386a184e3aedebf2effcb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Criteria</topic><topic>Differential equations</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Grace, Said R.</creatorcontrib><creatorcontrib>Sun, Shurong</creatorcontrib><creatorcontrib>Akın, Elvan</creatorcontrib><collection>CrossRef</collection><jtitle>Mediterranean journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Grace, Said R.</au><au>Sun, Shurong</au><au>Akın, Elvan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Oscillation Criteria for Certain Fourth-Order Nonlinear Delay Differential Equations</atitle><jtitle>Mediterranean journal of mathematics</jtitle><stitle>Mediterr. J. Math</stitle><date>2016-10-01</date><risdate>2016</risdate><volume>13</volume><issue>5</issue><spage>2383</spage><epage>2396</epage><pages>2383-2396</pages><issn>1660-5446</issn><eissn>1660-5454</eissn><abstract>In this article, we establish some new criteria for the oscillation of fourth-order nonlinear delay differential equations of the form
(
r
2
(
t
)
(
r
1
(
t
)
(
y
′
′
(
t
)
)
α
)
′
)
′
+
p
(
t
)
(
y
′
′
(
t
)
)
α
+
q
(
t
)
f
(
y
(
g
(
t
)
)
)
=
0
provided that the second-order equation
(
r
2
(
t
)
z
′
(
t
)
)
′
)
+
p
(
t
)
r
1
(
t
)
z
(
t
)
=
0
is nonoscillatory or oscillatory.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00009-015-0630-3</doi><tpages>14</tpages></addata></record> |
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| language | eng |
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| source | SpringerLink Journals |
| subjects | Criteria Differential equations Mathematical analysis Mathematics Mathematics and Statistics |
| title | Oscillation Criteria for Certain Fourth-Order Nonlinear Delay Differential Equations |
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