Continuous approximated solutions of a class of nonlinear integro-differential equations

✍ Scribed by I. Bonzani

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 237 KB
• Volume: 9
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(96)00060-2

✦ Synopsis

The paper deals with the continuous approximation of the solution to the Cauchy problem for a class of nonlinear integro-differential equations. The analysis is developed for a model in mathematical biology and for the semicontinuous Boltzmann equation.

Keywords--Nonlinear integro-differential equations, Initial value problems, Analytic solutions. Some interesting models of mathematical biology or physics can be written in terms of nonlinear differential integral equations. This is the case of the model proposed by Jager and Segel [1] to describe social behaviours of populations with kinetic interactions. In details the model writes