Open Mathematics (Dec 2022)
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.
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