Solvability for a nonlocal dispersal model governed by time and space integrals

Abstract

This work is to analyze a nonlocal dispersal model governed by a Volterra type integral and two space integrals. A weighted integral is included, and an existence result of solutions for this model is proved. We assume a suitably Hartman-type sign condition and use a sufficiently regular measure of noncompactness. Finally, the degree theory referring to condensing operators is applied.

Keywords

• nonlocal dispersal model
• volterra type integral
• space integral
• regular measure of noncompactness
• hartman-type sign condition
• 45k05
• 47h08
• 34b10