Oscillation of Solutions to Third-Order Nonlinear Neutral Dynamic Equations on Time Scales
Yang-Cong Qiu,
Kuo-Shou Chiu,
Said R. Grace,
Qingmin Liu,
Irena Jadlovská
Affiliations
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
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.