Nonoscillatory Solutions to Higher-Order Nonlinear Neutral Dynamic Equations
Yang-Cong Qiu,
Irena Jadlovská,
Dhaou Lassoued,
Tongxing Li
Affiliations
Yang-Cong Qiu
School of Humanities, Shunde Polytechnic, Foshan 528333, China
Irena Jadlovská
Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, B. Němcovej 32, 042 00 Košice, Slovakia
Dhaou Lassoued
Département de Mathématiques, Faculté des Sciences de Gabès, Université de Gabès, Cité Erriadh, Gabès 6072, Tunisia
Tongxing Li
LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi 276005, China
For a class of nonlinear higher-order neutral dynamic equations on a time scale, we analyze the existence and asymptotic behavior of nonoscillatory solutions on the basis of hypotheses that allow applications to equations with different integral convergence and divergence of the reciprocal of the coefficients. Two examples are presented to demonstrate the efficiency of new results.