On existence and uniqueness of solutions to a pantograph type equation

Authors

DOI:

https://doi.org/10.21914/anziamj.v62.15885

Keywords:

hyperbolic partial differential equations, funtional partial differential equations, Cauchy problems

Abstract

We show existence and uniqueness of solutions to an initial boundary value problem that entails a pantograph type functional partial differential equation with two advanced nonlocal terms. The problem models cell growth and division into two daughter cells of different sizes. There is a paucity of information about the solution to the problem for an arbitrary initial cell distribution.

doi:10.1017/S144618112100002X

Author Biographies

Muhammad Mohsin, Lahore University of Management Sciences

Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan

Ali Ashher Zaidi, Lahore University of Management Sciences

Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan

Published

2021-04-25

Issue

Section

Special Issue for Renown Researcher