Note on a non-oscillation theorem of Atkinson
We present a general non-oscillation criterion for a second order two-term scalar nonlinear differential equation in the spirit of a classic result by Atkinson [1]. The presentation is simpler than most and can serve to unify many such criteria under one common theme that eliminates the need for spe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/22/abstr.html |
| _version_ | 1831769584308322304 |
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| author | Samuel G. Dube Angelo B. Mingarelli |
| author_facet | Samuel G. Dube Angelo B. Mingarelli |
| author_sort | Samuel G. Dube |
| collection | DOAJ |
| description | We present a general non-oscillation criterion for a second order two-term scalar nonlinear differential equation in the spirit of a classic result by Atkinson [1]. The presentation is simpler than most and can serve to unify many such criteria under one common theme that eliminates the need for specfic techniques in each of the classical cases (sublinear, linear, and superlinear). As is to be expected in a result of this kind, the applications are widespread and include, but are not limited to, linear, sublinear, superlinear differential equations as well as some transcendental cases and some possibly mixed cases. |
| first_indexed | 2024-12-22T07:22:19Z |
| format | Article |
| id | doaj.art-8e67ef746d824fd899545001758e80ac |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T07:22:19Z |
| publishDate | 2004-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-8e67ef746d824fd899545001758e80ac2022-12-21T18:34:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-02-0120042216Note on a non-oscillation theorem of AtkinsonSamuel G. DubeAngelo B. MingarelliWe present a general non-oscillation criterion for a second order two-term scalar nonlinear differential equation in the spirit of a classic result by Atkinson [1]. The presentation is simpler than most and can serve to unify many such criteria under one common theme that eliminates the need for specfic techniques in each of the classical cases (sublinear, linear, and superlinear). As is to be expected in a result of this kind, the applications are widespread and include, but are not limited to, linear, sublinear, superlinear differential equations as well as some transcendental cases and some possibly mixed cases.http://ejde.math.txstate.edu/Volumes/2004/22/abstr.htmlSecond order differential equationsnonlinearnon-oscillation. |
| spellingShingle | Samuel G. Dube Angelo B. Mingarelli Note on a non-oscillation theorem of Atkinson Electronic Journal of Differential Equations Second order differential equations nonlinear non-oscillation. |
| title | Note on a non-oscillation theorem of Atkinson |
| title_full | Note on a non-oscillation theorem of Atkinson |
| title_fullStr | Note on a non-oscillation theorem of Atkinson |
| title_full_unstemmed | Note on a non-oscillation theorem of Atkinson |
| title_short | Note on a non-oscillation theorem of Atkinson |
| title_sort | note on a non oscillation theorem of atkinson |
| topic | Second order differential equations nonlinear non-oscillation. |
| url | http://ejde.math.txstate.edu/Volumes/2004/22/abstr.html |
| work_keys_str_mv | AT samuelgdube noteonanonoscillationtheoremofatkinson AT angelobmingarelli noteonanonoscillationtheoremofatkinson |