Nonoscillatory Solutions to Higher-Order Nonlinear Neutral Dynamic Equations

Symmetry

Irena Jadlovská¹  Dhaou Lassoued²  Tongxing Li³  Yang-Cong Qiu⁴ 

[1] Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, B. Němcovej 32, 042 00 Košice, Slovakia;Département de Mathématiques, Faculté des Sciences de Gabès, Université de Gabès, Cité Erriadh, Gabès 6072, Tunisia;LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi 276005, China;School of Humanities, Shunde Polytechnic, Foshan 528333, China;

关键词: nonoscillatory behavior;    existence;    nonlinear neutral dynamic equation;    higher-order;    time scale;   

DOI  :  10.3390/sym11030302

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown