Garuda Documents : THE EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION TO A NONLINEAR CAUCHY PROBLEM ASSOCIATED WITH A NONLOCAL REACTION-DIFFUSION SYSTEM

TitleTHE EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION TO A NONLINEAR CAUCHY PROBLEM ASSOCIATED WITH A NONLOCAL REACTION-DIFFUSION SYSTEM
Author Order1 of 3
Accreditation4
AbstractWe study the existence and uniqueness of a mild solution to a nonlinear Cauchy problem associated with a nonlocal reaction diffusion system by employing the properties of analytic semigroup operator generated by the linear part of the problem which is sectorial and then applying Banach Fixed Point Theorem to the problem. We show that the problem has a unique mild solution under a Lipschitz condition on the nonlinear part of the problem. An example as an application of the result obtained is also given.
Publisher NameJurusan Matematika FMIPA Universitas Jenderal Soedirman
Publish Date2019-12-27
Publish Year2019
DoiDOI: 10.20884/1.jmp.2019.11.2.2264
Citation
SourceJurnal Ilmiah Matematika dan Pendidikan Matematika
Source IssueVol 11 No 2 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Source Page19-28
Urlhttp://jos.unsoed.ac.id/index.php/jmp/article/view/2264/1319
AuthorBAMBANG HENDRIYA GUSWANTO, S.Si, M.Si, Ph.D
File1300508.pdf