A nonlinear delay integral equation related to infectious diseases

Abstract

A class of nonlinear integral equations with delay, related to infectious diseases, is studied. Making use of some tools from operators theory, we deal with the well-posedness in an adequate functional space, approximation of solution, estimates of lower/upper solutions and the data dependence of solutions.

Keywords

• nonlinear delay integral equation
• existence/uniqueness
• approximation
• lower/upper solutions
• data dependence