Oscillation of nonlinear neutral dynamic equations on time scales
Chhatria, G., Grace, S., Graef, J. (2021). Oscillation of nonlinear neutral dynamic equations on time scales. EKB Journal Management System, 29(1), 1-14. doi: 10.1186/s42787-021-00131-w
G. N. Chhatria; Said R. Grace; John R. Graef. "Oscillation of nonlinear neutral dynamic equations on time scales". EKB Journal Management System, 29, 1, 2021, 1-14. doi: 10.1186/s42787-021-00131-w
Chhatria, G., Grace, S., Graef, J. (2021). 'Oscillation of nonlinear neutral dynamic equations on time scales', EKB Journal Management System, 29(1), pp. 1-14. doi: 10.1186/s42787-021-00131-w
Chhatria, G., Grace, S., Graef, J. Oscillation of nonlinear neutral dynamic equations on time scales. EKB Journal Management System, 2021; 29(1): 1-14. doi: 10.1186/s42787-021-00131-w

Oscillation of nonlinear neutral dynamic equations on time scales

Journal of the Egyptian Mathematical Society
Volume 29, Issue 1, 2021, Pages 1-14    PDF (2.64 M)
Document Type: Original Article
DOI: 10.1186/s42787-021-00131-w
Authors
G. N. Chhatria1; Said R. Grace2; John R. Graef* 3
1Department of Mathematics, Sambalpur University, Sambalpur 768019, India.
2Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt.
3Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA.
Abstract
The authors present necessary and sufcient conditions for the oscillation of a class of
second order non-linear neutral dynamic equations with non-positive neutral coeffcients by using Krasnosel’skii’s fxed point theorem on time scales. The nonlinear function may be strongly sublinear or strongly superlinear.
Keywords
: Oscillation; Nonoscillation; Neutral dynamic equation; Time scales; Fixed point theorem
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