Second-order impulsive differential systems with mixed and several delays

Advances in Difference Equations

Khaled Mohamed Khedher¹  Taher A. Nofal²  Omar Bazighifan³  Shyam Sundar Santra⁴  Apurba Ghosh⁴ 

[1] Department of Civil Engineering, College of Engineering, King Khalid University, 61421, Abha, Saudi Arabia;Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, 8000, Nabeul, Tunisia;Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia;Department of Mathematics, Faculty of Education, Seiyun University, 50512, Hadhramout, Yemen;Department of Mathematics, Faculty of Science, Hadhramout University, 50512, Hadhramout, Yemen;Department of Mathematics, JIS College of Engineering, 741235, Kalyani, India;

关键词: Oscillation;    Delay;    Neutral;    Lebesgue’s dominated convergence theorem;    34C10;    34K11;   

DOI  :  10.1186/s13662-021-03474-x

来源: Springer

【 摘 要 】

In this work, we present new necessary and sufficient conditions for the oscillation of a class of second-order neutral delay impulsive differential equations. Our oscillation results complement, simplify and improve recent results on oscillation theory of this type of nonlinear neutral impulsive differential equations that appear in the literature. An example is provided to illustrate the value of the main results.

【 授权许可】

CC BY