Open Mathematics (Dec 2022)

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

  • Yu Yang-Yang,
  • Wang Fu-Zhang

DOI
https://doi.org/10.1515/math-2022-0552
Journal volume & issue
Vol. 20, no. 1
pp. 1785 – 1799

Abstract

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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