TY - JOUR
AU - Guswanto, Bambang Hendriya
AU - Bin Admon, Mohd. Ariff
AU - Binti Lim Boon Chye, Nur Natasha
PY - 2019/12/27
TI - THE EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION TO A NONLINEAR CAUCHY PROBLEM ASSOCIATED WITH A NONLOCAL REACTION-DIFFUSION SYSTEM
JF - Jurnal Ilmiah Matematika dan Pendidikan Matematika; Vol 11 No 2 (2019): Jurnal Ilmiah Matematika dan Pendidikan MatematikaDO - 10.20884/1.jmp.2019.11.2.2264
KW -
N2 - We 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.
UR - http://jos.unsoed.ac.id/index.php/jmp/article/view/2264