Oscillation of Bounded Solutions of Delay Differential Equations
The purpose of this paper is to give new oscillation criteria for second-order delay differential equations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>y</mi><mrow><...
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2024-12-01
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| author | Jozef Dzurina |
| author_facet | Jozef Dzurina |
| author_sort | Jozef Dzurina |
| collection | DOAJ |
| description | The purpose of this paper is to give new oscillation criteria for second-order delay differential equations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>y</mi><mrow><mo>″</mo></mrow></msup><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><mi>p</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mi>y</mi><mrow><mo>(</mo><mi>τ</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>)</mo></mrow><mo>.</mo></mrow></semantics></math></inline-formula> We introduce a new technique for the elimination of bounded nonoscillatory solutions. |
| format | Article |
| id | doaj-art-d44d2b15dd0641e4948a22222d77d7f9 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-d44d2b15dd0641e4948a22222d77d7f92025-01-10T13:18:05ZengMDPI AGMathematics2227-73902024-12-011314910.3390/math13010049Oscillation of Bounded Solutions of Delay Differential EquationsJozef Dzurina0Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Letná 9, 042 00 Košice, SlovakiaThe purpose of this paper is to give new oscillation criteria for second-order delay differential equations <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>y</mi><mrow><mo>″</mo></mrow></msup><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><mi>p</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mi>y</mi><mrow><mo>(</mo><mi>τ</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>)</mo></mrow><mo>.</mo></mrow></semantics></math></inline-formula> We introduce a new technique for the elimination of bounded nonoscillatory solutions.https://www.mdpi.com/2227-7390/13/1/49second differential equationsdelay argumentmonotonic propertiesoscillation |
| spellingShingle | Jozef Dzurina Oscillation of Bounded Solutions of Delay Differential Equations Mathematics second differential equations delay argument monotonic properties oscillation |
| title | Oscillation of Bounded Solutions of Delay Differential Equations |
| title_full | Oscillation of Bounded Solutions of Delay Differential Equations |
| title_fullStr | Oscillation of Bounded Solutions of Delay Differential Equations |
| title_full_unstemmed | Oscillation of Bounded Solutions of Delay Differential Equations |
| title_short | Oscillation of Bounded Solutions of Delay Differential Equations |
| title_sort | oscillation of bounded solutions of delay differential equations |
| topic | second differential equations delay argument monotonic properties oscillation |
| url | https://www.mdpi.com/2227-7390/13/1/49 |
| work_keys_str_mv | AT jozefdzurina oscillationofboundedsolutionsofdelaydifferentialequations |