Non‐existence of global solution for a nonlinear integro‐differential inequality

Non‐existence of global solution for a nonlinear integro‐differential inequality

Nonlinear integro‐differential inequalities involving two arbitrary kernels are considered. Our results generalize some previous cases. The result about non‐existence of global solution in time has been proved. Our method of proof is based on the weak formulation of the problem.

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Veröffentlicht in:Mathematical methods in the applied sciences 2023-09, Vol.46 (14), p.15259-15269
Hauptverfasser: Javed, Sehrish, Kirane, Mokhtar, Malik, Salman A.
Format: Artikel
Sprache:eng
Schlagworte:
blow‐up
nonlinear differential equations
test function method
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Zusammenfassung:Nonlinear integro‐differential inequalities involving two arbitrary kernels are considered. Our results generalize some previous cases. The result about non‐existence of global solution in time has been proved. Our method of proof is based on the weak formulation of the problem.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9376