On a class of integro-differential equations modeling complex systems with nonlinear interactions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On a class of integro-differential equations modeling complex systems with nonlinear interactions

Authors:	L. Arlotti

Affiliation:	^a Dipartimento di Ingegneria Civile, Università di Udine, Udine, Italy ^b Dipartimento di Matematica, Politecnico di Torino, Torino, Italy ^c Institute of Applied Mathematics and Mechanics, University of Warsaw, Warsaw, Poland

Abstract:	This work deals with the qualitative analysis of the initial value problem for a class of large systems of interacting entities in the framework of the mathematical kinetic theory for active particles. The contents are specifically focused on the case where the system interacts with the outer environment and the entities are subject to nonlinearly additive interactions.

Keywords:	Complexity Kinetic theory Cauchy problem Nonlinear interactions
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