On the Existence in the Sense of Sequences of Stationary Solutions for Some Systems of Non-Fredholm Integro-differential Equations

We prove the existence in the sense of sequences of stationary solutions for some systems of reaction–diffusion type equations in the appropriate H2 spaces. It is established that, under reasonable technical conditions, the convergence in L1 of the integral kernels yields the existence and the convergence in H2 of the solutions. The nonlocal elliptic problems contain the second-order differential operators with and without Fredholm property. © 2018, Springer Nature Switzerland AG.

Authors
Vougalter V.1 , Volpert V. 2, 3
Publisher
Birkhauser Verlag AG
Number of issue
5
Language
English
Status
Published
Number
205
Volume
15
Year
2018
Organizations
  • 1 Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4, Canada
  • 2 Institute Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 3 Peoples’ Friendship University of Russia, Ulitsa Miklukho-Maklaya, 6, Moscow, 117198, Russian Federation
Keywords
non-Fredholm operators; Solvability conditions; stationary solutions; systems of integro-differential equations
Date of creation
04.02.2019
Date of change
04.02.2019
Short link
https://repository.rudn.ru/en/records/article/record/36308/