Abstract:
This paper deals with semilinear delay evolution equations with nonlinear
constraints. To find an integral solution to this problem, semilinear delay
evolution equation with nonlinear constraints is converted into the abstract
functional differential equation with non-densely defined generators and
solved as an inhomogeneous cauchy problem. Since non-densely defined
generators are used, it is possible to use integrated semigroup approach to
solve this problem. Age structured proliferating cell population with
inherited cycle length, including delay terms, is modeled as a semilinear
delay evolution equation with nonlinear constraints and obtained an integral
solution for this model by using the above method.
