Oscillation theorems for third order nonlinear delay difference equations
Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form \Delta(a_n(\Delta(b_n(\Delta y_n)^{\alpha})))+q_nf(y_{\sigma(n)})=0 to have property ${(\rm A)}$ or to be oscillatory. These conditions improve and complement many known results reported in t...
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Institute of Mathematics of the Czech Academy of Science
2019-04-01
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| Series: | Mathematica Bohemica |
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| Online Access: | http://mb.math.cas.cz/full/144/1/mb144_1_3.pdf |
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doaj-a4f2dbbd3f6448cb9e371eee31e559042020-11-24T21:49:56ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362019-04-011441253710.21136/MB.2018.0019-17MB.2018.0019-17Oscillation theorems for third order nonlinear delay difference equationsKumar S. VidhyaaChinnappa DharumanEthiraju ThandapaniSandra PinelasSufficient conditions are obtained for the third order nonlinear delay difference equation of the form \Delta(a_n(\Delta(b_n(\Delta y_n)^{\alpha})))+q_nf(y_{\sigma(n)})=0 to have property ${(\rm A)}$ or to be oscillatory. These conditions improve and complement many known results reported in the literature. Examples are provided to illustrate the importance of the main results.http://mb.math.cas.cz/full/144/1/mb144_1_3.pdf third order delay difference equation property ${(\rm A)}$ comparison theorem |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kumar S. Vidhyaa Chinnappa Dharuman Ethiraju Thandapani Sandra Pinelas |
| spellingShingle |
Kumar S. Vidhyaa Chinnappa Dharuman Ethiraju Thandapani Sandra Pinelas Oscillation theorems for third order nonlinear delay difference equations Mathematica Bohemica third order delay difference equation property ${(\rm A)}$ comparison theorem |
| author_facet |
Kumar S. Vidhyaa Chinnappa Dharuman Ethiraju Thandapani Sandra Pinelas |
| author_sort |
Kumar S. Vidhyaa |
| title |
Oscillation theorems for third order nonlinear delay difference equations |
| title_short |
Oscillation theorems for third order nonlinear delay difference equations |
| title_full |
Oscillation theorems for third order nonlinear delay difference equations |
| title_fullStr |
Oscillation theorems for third order nonlinear delay difference equations |
| title_full_unstemmed |
Oscillation theorems for third order nonlinear delay difference equations |
| title_sort |
oscillation theorems for third order nonlinear delay difference equations |
| publisher |
Institute of Mathematics of the Czech Academy of Science |
| series |
Mathematica Bohemica |
| issn |
0862-7959 2464-7136 |
| publishDate |
2019-04-01 |
| description |
Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form
\Delta(a_n(\Delta(b_n(\Delta y_n)^{\alpha})))+q_nf(y_{\sigma(n)})=0
to have property ${(\rm A)}$ or to be oscillatory. These conditions improve and complement many known results reported in the literature. Examples are provided to illustrate the importance of the main results. |
| topic |
third order delay difference equation property ${(\rm A)}$ comparison theorem |
| url |
http://mb.math.cas.cz/full/144/1/mb144_1_3.pdf |
| work_keys_str_mv |
AT kumarsvidhyaa oscillationtheoremsforthirdordernonlineardelaydifferenceequations AT chinnappadharuman oscillationtheoremsforthirdordernonlineardelaydifferenceequations AT ethirajuthandapani oscillationtheoremsforthirdordernonlineardelaydifferenceequations AT sandrapinelas oscillationtheoremsforthirdordernonlineardelaydifferenceequations |
| _version_ |
1725886326773907456 |