Alqahtani, Awatif; Jleli, Mohamed; Samet, Bessem Nonexistence of nontrivial global solutions for nonlocal in time differential inequalities. (English) Zbl 1516.35566 Math. Methods Appl. Sci. 42, No. 3, 861-870 (2019). Summary: 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. Cited in 1 Document MSC: 35R45 Partial differential inequalities and systems of partial differential inequalities 35B33 Critical exponents in context of PDEs 35B44 Blow-up in context of PDEs 26A33 Fractional derivatives and integrals Keywords:differential inequalities of Sobolev type; nonexistence; nonlocal in time; nontrivial global classical solution PDFBibTeX XMLCite \textit{A. Alqahtani} et al., Math. Methods Appl. Sci. 42, No. 3, 861--870 (2019; Zbl 1516.35566) Full Text: DOI