Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments
The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [𝑎(𝑡)[𝑥″(𝑡)]𝛾]′=𝑞(𝑡)𝑓(𝑥[𝜏(𝑡)])+𝑝(𝑡)ℎ(𝑥[𝜎(𝑡)]). Both cases ∫∞𝑎−1/𝛾(𝑠)d𝑠=∞ and ∫∞𝑎−1/𝛾(𝑠)d𝑠<∞ are considered. We deduce...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/857860 |
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| author | B. Baculíková |
| author_facet | B. Baculíková |
| author_sort | B. Baculíková |
| collection | DOAJ |
| description | The aim of this paper is to offer sufficient conditions for property
(B) and/or the oscillation of the third-order nonlinear functional differential
equation with mixed arguments [𝑎(𝑡)[𝑥″(𝑡)]𝛾]′=𝑞(𝑡)𝑓(𝑥[𝜏(𝑡)])+𝑝(𝑡)ℎ(𝑥[𝜎(𝑡)]). Both cases ∫∞𝑎−1/𝛾(𝑠)d𝑠=∞ and ∫∞𝑎−1/𝛾(𝑠)d𝑠<∞ are considered. We
deduce properties of the studied equations via new comparison theorems. The
results obtained essentially improve and complement earlier ones. |
| format | Article |
| id | doaj-art-7825c247ad614a909148ce81705f5b13 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7825c247ad614a909148ce81705f5b132025-02-03T05:46:45ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/857860857860Properties of Third-Order Nonlinear Functional Differential Equations with Mixed ArgumentsB. Baculíková0Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, SlovakiaThe aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [𝑎(𝑡)[𝑥″(𝑡)]𝛾]′=𝑞(𝑡)𝑓(𝑥[𝜏(𝑡)])+𝑝(𝑡)ℎ(𝑥[𝜎(𝑡)]). Both cases ∫∞𝑎−1/𝛾(𝑠)d𝑠=∞ and ∫∞𝑎−1/𝛾(𝑠)d𝑠<∞ are considered. We deduce properties of the studied equations via new comparison theorems. The results obtained essentially improve and complement earlier ones.http://dx.doi.org/10.1155/2011/857860 |
| spellingShingle | B. Baculíková Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments Abstract and Applied Analysis |
| title | Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments |
| title_full | Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments |
| title_fullStr | Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments |
| title_full_unstemmed | Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments |
| title_short | Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments |
| title_sort | properties of third order nonlinear functional differential equations with mixed arguments |
| url | http://dx.doi.org/10.1155/2011/857860 |
| work_keys_str_mv | AT bbaculikova propertiesofthirdordernonlinearfunctionaldifferentialequationswithmixedarguments |