Existence and Regularity for Boundary Cauchy Problems with Infinite Delay
Author(s) -
JungChan Chang
Publication year - 2014
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2014/379698
Subject(s) - uniqueness , mathematics , cauchy distribution , boundary (topology) , cauchy boundary condition , mathematical analysis , class (philosophy) , population , boundary value problem , cauchy problem , cauchy's convergence test , work (physics) , initial value problem , mixed boundary condition , computer science , mechanical engineering , demography , artificial intelligence , sociology , engineering
The aim of this work is to investigate a class of boundary Cauchy problems with infinite delay. We give some sufficient conditions ensuring the uniqueness, existence, and regularity of solutions. For illustration, we apply the result to an age dependent population equation, which covers some special cases considered in some recent papers
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