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Nonexistence of nontrivial global solutions for nonlocal in time differential inequalities
Author(s) -
Alqahtani Awatif,
Jleli Mohamed,
Samet Bessem
Publication year - 2019
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.5388
Subject(s) - mathematics , nonlinear system , sobolev space , inequality , type (biology) , differential (mechanical device) , mathematical analysis , physics , ecology , quantum mechanics , biology , thermodynamics
In this paper, some nonlocal in time differential inequalities of Sobolev type are considered. Using the nonlinear capacity method, sufficient conditions for the nonexistence of nontrivial global classical solutions are provided.