Oscillation of Solutions to Third-Order Nonlinear Neutral Dynamic Equations on Time Scales

Yang-Cong Qiu, Kuo-Shou Chiu, Said R. Grace, Qingmin Liu and Irena Jadlovská
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Yang-Cong Qiu: School of Humanities, Shunde Polytechnic, Foshan 528333, China
Kuo-Shou Chiu: Departamento de Matemática, Facultad de Ciencias Básicas, Universidad Metropolitana de Ciencias de la Educación, José Pedro Alessandri 774, Santiago 7760197, Chile
Said R. Grace: Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt
Qingmin Liu: School of Control Science and Engineering, Shandong University, Jinan 250061, China
Irena Jadlovská: Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 040 01 Kosice, Slovakia

Mathematics, 2021, vol. 10, issue 1, 1-12

Abstract: In this paper, we are concerned with the oscillation of solutions to a class of third-order nonlinear neutral dynamic equations on time scales. New oscillation criteria are presented by employing the Riccati transformation and integral averaging technique. Two examples are shown to illustrate the conclusions.

Keywords: third-order; neutral dynamic equation; time scale; oscillation; nonlinear (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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