Mathematical Methods in the Applied Sciences

Volume 42, Issue 3 pp. 861-870

RESEARCH ARTICLE

Nonexistence of nontrivial global solutions for nonlocal in time differential inequalities

Awatif Alqahtani,

Awatif Alqahtani

Department of Mathematics, College of Science, King Saud University, Riyadh, 11451 Saudi Arabia

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Mohamed Jleli,

Mohamed Jleli

Department of Mathematics, College of Science, King Saud University, Riyadh, 11451 Saudi Arabia

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Bessem Samet,

Corresponding Author

Bessem Samet

[email protected]

orcid.org/0000-0002-6769-3417

Department of Mathematics, College of Science, King Saud University, Riyadh, 11451 Saudi Arabia

Correspondence

Bessem Samet, Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia.

Email: [email protected]

Communicated by: H. Ammari

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Awatif Alqahtani,

Awatif Alqahtani

Department of Mathematics, College of Science, King Saud University, Riyadh, 11451 Saudi Arabia

Search for more papers by this author

Mohamed Jleli,

Mohamed Jleli

Department of Mathematics, College of Science, King Saud University, Riyadh, 11451 Saudi Arabia

Search for more papers by this author

Bessem Samet,

Corresponding Author

Bessem Samet

[email protected]

orcid.org/0000-0002-6769-3417

Department of Mathematics, College of Science, King Saud University, Riyadh, 11451 Saudi Arabia

Correspondence

Bessem Samet, Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia.

Email: [email protected]

Communicated by: H. Ammari

Search for more papers by this author

First published: 18 November 2018

https://doi.org/10.1002/mma.5388

Citations: 1

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Abstract

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.

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Volume42, Issue3

February 2019

Pages 861-870

Nonexistence of nontrivial global solutions for nonlocal in time differential inequalities

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Nonexistence of nontrivial global solutions for nonlocal in time differential inequalities

Abstract

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