Semilinear delay evolution equations with nonlinear  constraints

dc.contributor.author	Padmaprabha, H.G.N.L.
dc.contributor.author	Shanthidevi, K.C.N.
dc.date.accessioned	2023-01-31T06:34:30Z
dc.date.available	2023-01-31T06:34:30Z
dc.date.issued	2014-01-22
dc.identifier.issn	1391-8796
dc.identifier.uri	http://ir.lib.ruh.ac.lk/xmlui/handle/iruor/10542
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Faculty of Science, University of Ruhuna, Matara, Sri Lanka	en_US
dc.subject	Cycle length	en_US
dc.subject	integrated semigroups	en_US
dc.subject	proliferating cell population	en_US
dc.title	Semilinear delay evolution equations with nonlinear constraints	en_US
dc.type	Article	en_US