Existence of Stationary Solutions for some Systems of Integro-Differential Equations

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Authors

  • Vitali Vougalter Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 2E4, Canada Author
  • Vitaly Volpert Institute Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France Author

DOI:

https://doi.org/10.5890/DNC.2016.03.008

Abstract

The article deals with the existence of solutions of a system of nonlocal reaction-diffusion equations which appears in population dynamics. The proof relies on a fixed point technique. Solvability conditions for elliptic operators in unbounded domains which fail to satisfy the Fredholm property are being used.

References

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[24] Vougalter, V. and Volpert,V. (2015), Existence of stationary solutions for some integro-differential equations with superdiffusion. Preprint.

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PublishedMarch 2016

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Vougalter, V., & Volpert, V. (2026). Existence of Stationary Solutions for some Systems of Integro-Differential Equations. Discontinuity, Nonlinearity, and Complexity, 5(1), 75-84. https://doi.org/10.5890/DNC.2016.03.008