Characteristics of solutions of nonlinear neutral integro-differential equation via Chandrasekhar integral

H. H. G. Hashem, Hessah O. Alrashidi
2021 Journal of Mathematics and Computer Science  
In this paper, we shall study the existence of at least one continuous solution for a nonlinear neutral differential equation via Chandrasekhar integral. Next, continuous dependence of the solution of that equation on the delay functions will be studied. Also, we use Kransnoselskii theorem to prove the existence of solutions and estimate upper and lower bounds for solutions defined in unbounded interval. Some particular cases and remarks are presented to illustrate our results.
doi:10.22436/jmcs.024.02.08 fatcat:s6ykp2csjjcgbb2jwj6nsjvkqe