Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay

Abstract

Abstract We study the existence of compact almost automorphic solutions for a class of integral equations with time-dependent and state-dependent delay. An application to a blowflies model and a transmission lines model is carried out to support the theoretical finding.

Keywords

• almost periodic and almost automorphic solutions
• integral equations; neutral equation
• state-dependent delay
• Nicholson’s model
• lossless transmission lines