Solutions to quasi-linear differential equations with iterated deviating arguments. (English) Zbl 1320.34107
Summary: We establish sufficient conditions for the existence and uniqueness of solutions to quasi-linear differential equations with iterated deviating arguments in a complex Banach space. The results are obtained by using the semigroup theory for parabolic equations and fixed point theorems. The main results are illustrated by an example.
MSC:
34K30 | Functional-differential equations in abstract spaces |
47N20 | Applications of operator theory to differential and integral equations |
39B12 | Iteration theory, iterative and composite equations |