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Oscillation criteria for a class of nonlinear fourth order neutral differential equations
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| Zeitschriftentitel: | Mathematica Slovaca |
|---|---|
| Personen und Körperschaften: | |
| In: | Mathematica Slovaca, 63, 2013, 2, S. 243-262 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Walter de Gruyter GmbH
|
| Schlagwörter: |
| author_facet |
Tripathy, A. Tripathy, A. |
|---|---|
| author |
Tripathy, A. |
| spellingShingle |
Tripathy, A. Mathematica Slovaca Oscillation criteria for a class of nonlinear fourth order neutral differential equations General Mathematics |
| author_sort |
tripathy, a. |
| spelling |
Tripathy, A. 1337-2211 0139-9918 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.2478/s12175-012-0096-8 <jats:title>Abstract</jats:title> <jats:p>In this paper, sufficient conditions are obtained for oscillation of a class of nonlinear fourth order mixed neutral differential equations of the form (E)$$\left( {\frac{1} {{a\left( t \right)}}\left( {\left( {y\left( t \right) + p\left( t \right)y\left( {t - \tau } \right)} \right)^{\prime \prime } } \right)^\alpha } \right)^{\prime \prime } = q\left( t \right)f\left( {y\left( {t - \sigma _1 } \right)} \right) + r\left( t \right)g\left( {y\left( {t + \sigma _2 } \right)} \right)$$ under the assumption $$\int\limits_0^\infty {\left( {a\left( t \right)} \right)^{\tfrac{1} {\alpha }} dt} = \infty .$$ where α is a ratio of odd positive integers. (E) is studied for various ranges of p(t).</jats:p> Oscillation criteria for a class of nonlinear fourth order neutral differential equations Mathematica Slovaca |
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10.2478/s12175-012-0096-8 |
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Walter de Gruyter GmbH, 2013 |
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Walter de Gruyter GmbH, 2013 |
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1337-2211 0139-9918 |
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2013 |
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Walter de Gruyter GmbH |
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Mathematica Slovaca |
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49 |
| title |
Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_unstemmed |
Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_full |
Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_fullStr |
Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_full_unstemmed |
Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_short |
Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_sort |
oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| topic |
General Mathematics |
| url |
http://dx.doi.org/10.2478/s12175-012-0096-8 |
| publishDate |
2013 |
| physical |
243-262 |
| description |
<jats:title>Abstract</jats:title>
<jats:p>In this paper, sufficient conditions are obtained for oscillation of a class of nonlinear fourth order mixed neutral differential equations of the form (E)$$\left( {\frac{1}
{{a\left( t \right)}}\left( {\left( {y\left( t \right) + p\left( t \right)y\left( {t - \tau } \right)} \right)^{\prime \prime } } \right)^\alpha } \right)^{\prime \prime } = q\left( t \right)f\left( {y\left( {t - \sigma _1 } \right)} \right) + r\left( t \right)g\left( {y\left( {t + \sigma _2 } \right)} \right)$$ under the assumption $$\int\limits_0^\infty {\left( {a\left( t \right)} \right)^{\tfrac{1}
{\alpha }} dt} = \infty .$$ where α is a ratio of odd positive integers. (E) is studied for various ranges of p(t).</jats:p> |
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| container_start_page | 243 |
| container_title | Mathematica Slovaca |
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| description | <jats:title>Abstract</jats:title> <jats:p>In this paper, sufficient conditions are obtained for oscillation of a class of nonlinear fourth order mixed neutral differential equations of the form (E)$$\left( {\frac{1} {{a\left( t \right)}}\left( {\left( {y\left( t \right) + p\left( t \right)y\left( {t - \tau } \right)} \right)^{\prime \prime } } \right)^\alpha } \right)^{\prime \prime } = q\left( t \right)f\left( {y\left( {t - \sigma _1 } \right)} \right) + r\left( t \right)g\left( {y\left( {t + \sigma _2 } \right)} \right)$$ under the assumption $$\int\limits_0^\infty {\left( {a\left( t \right)} \right)^{\tfrac{1} {\alpha }} dt} = \infty .$$ where α is a ratio of odd positive integers. (E) is studied for various ranges of p(t).</jats:p> |
| doi_str_mv | 10.2478/s12175-012-0096-8 |
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| imprint | Walter de Gruyter GmbH, 2013 |
| imprint_str_mv | Walter de Gruyter GmbH, 2013 |
| institution | DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Zwi2, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14 |
| issn | 1337-2211, 0139-9918 |
| issn_str_mv | 1337-2211, 0139-9918 |
| language | English |
| last_indexed | 2024-03-01T14:04:39.279Z |
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| physical | 243-262 |
| publishDate | 2013 |
| publishDateSort | 2013 |
| publisher | Walter de Gruyter GmbH |
| record_format | ai |
| recordtype | ai |
| series | Mathematica Slovaca |
| source_id | 49 |
| spelling | Tripathy, A. 1337-2211 0139-9918 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.2478/s12175-012-0096-8 <jats:title>Abstract</jats:title> <jats:p>In this paper, sufficient conditions are obtained for oscillation of a class of nonlinear fourth order mixed neutral differential equations of the form (E)$$\left( {\frac{1} {{a\left( t \right)}}\left( {\left( {y\left( t \right) + p\left( t \right)y\left( {t - \tau } \right)} \right)^{\prime \prime } } \right)^\alpha } \right)^{\prime \prime } = q\left( t \right)f\left( {y\left( {t - \sigma _1 } \right)} \right) + r\left( t \right)g\left( {y\left( {t + \sigma _2 } \right)} \right)$$ under the assumption $$\int\limits_0^\infty {\left( {a\left( t \right)} \right)^{\tfrac{1} {\alpha }} dt} = \infty .$$ where α is a ratio of odd positive integers. (E) is studied for various ranges of p(t).</jats:p> Oscillation criteria for a class of nonlinear fourth order neutral differential equations Mathematica Slovaca |
| spellingShingle | Tripathy, A., Mathematica Slovaca, Oscillation criteria for a class of nonlinear fourth order neutral differential equations, General Mathematics |
| title | Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_full | Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_fullStr | Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_full_unstemmed | Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_short | Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_sort | oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| title_unstemmed | Oscillation criteria for a class of nonlinear fourth order neutral differential equations |
| topic | General Mathematics |
| url | http://dx.doi.org/10.2478/s12175-012-0096-8 |