Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients
This paper considers difference equations with continuous time, piecewise linear delay functions, and oscillatory coefficients. We present new conditions on the coefficients that provide the oscillatory property of the solutions of the considered difference equations. The given criteria are compared...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/8/1325 |
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| author | George E. Chatzarakis Hajnalka Péics Andrea Rožnjik |
| author_facet | George E. Chatzarakis Hajnalka Péics Andrea Rožnjik |
| author_sort | George E. Chatzarakis |
| collection | DOAJ |
| description | This paper considers difference equations with continuous time, piecewise linear delay functions, and oscillatory coefficients. We present new conditions on the coefficients that provide the oscillatory property of the solutions of the considered difference equations. The given criteria are compared to the existing oscillatory conditions in the literature using examples. |
| format | Article |
| id | doaj-art-30df9beb983f4e748e224ed90a5e2ea8 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-30df9beb983f4e748e224ed90a5e2ea82025-08-20T03:13:58ZengMDPI AGMathematics2227-73902025-04-01138132510.3390/math13081325Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory CoefficientsGeorge E. Chatzarakis0Hajnalka Péics1Andrea Rožnjik2Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), 15122 Marousi, Athens, GreeceFaculty of Civil Engineering, University of Novi Sad, Kozaračka 2/A, 24000 Subotica, SerbiaFaculty of Civil Engineering, University of Novi Sad, Kozaračka 2/A, 24000 Subotica, SerbiaThis paper considers difference equations with continuous time, piecewise linear delay functions, and oscillatory coefficients. We present new conditions on the coefficients that provide the oscillatory property of the solutions of the considered difference equations. The given criteria are compared to the existing oscillatory conditions in the literature using examples.https://www.mdpi.com/2227-7390/13/8/1325difference equationcontinuous timepiecewise linear delay functionoscillating coefficientsoscillatory solutions |
| spellingShingle | George E. Chatzarakis Hajnalka Péics Andrea Rožnjik Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients Mathematics difference equation continuous time piecewise linear delay function oscillating coefficients oscillatory solutions |
| title | Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients |
| title_full | Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients |
| title_fullStr | Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients |
| title_full_unstemmed | Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients |
| title_short | Oscillation Criteria for Delay Difference Equations with Continuous Time, Piecewise Linear Delay Functions, and Oscillatory Coefficients |
| title_sort | oscillation criteria for delay difference equations with continuous time piecewise linear delay functions and oscillatory coefficients |
| topic | difference equation continuous time piecewise linear delay function oscillating coefficients oscillatory solutions |
| url | https://www.mdpi.com/2227-7390/13/8/1325 |
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