Nonlinear neutral integro-differential equations, stability by fixed point and inverses of delays

Abdelouaheb Ardjouni, Ahcene Djoudi, Hocine Gabsi
2017 Novi Sad Journal of Mathematics  
A class of second order nonlinear neutral integro-differential equations with variable delays is investigated. We give new conditions ensuring that the zero solution is asymptotically stable by means of the fixed point theory. Our work extends and improves previous results in the literature. An example is given to illustrate our claim.
doi:10.30755/nsjom.04574 fatcat:ams4odplzjatlib5xdrpaxw5l4