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Local existence and global nonexistence results for an integro‐differential diffusion system with nonlocal nonlinearities
Author(s) -
Borikhanov Meiirkhan B.,
Torebek Berikbol T.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6878
Subject(s) - mathematics , nonlinear system , diffusion , differential (mechanical device) , mathematical analysis , differential equation , physics , quantum mechanics , thermodynamics
In the present paper, initial problem for the integro‐differential diffusion system with nonlocal nonlinear sources is considered. The results on existence of local mild solutions and nonexistence of global weak solution to the nonlinear integro‐differential diffusion system are presented.