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On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions

على فئة من معادلات التطور متعددة المراحل مع الظروف الأولية غير المحلية
Authors: Fairouz Zouyed; Faouzia Rebbani; Nadjib Boussetila;

On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions

Abstract

The existence and uniqueness of the strong solution for a multitime evolution equation with nonlocal initial conditions are proved. The proof is essentially based on a priori estimates and on the density of the range of the operator generated by the considered problem.

Keywords

Numerical Solution, Composite material, Artificial intelligence, Class (philosophy), Initial value problems for linear higher-order PDEs, Evolution equation, Epistemology, Operator (biology), Mathematical analysis, Biochemistry, Gene, Range (aeronautics), Numerical Methods for Singularly Perturbed Problems, QA1-939, FOS: Mathematics, Global Well-Posedness of Nonlinear Wave Equations, Mathematical Physics, Numerical Analysis, Applications of operator theory to differential and integral equations, Applied Mathematics, A priori and a posteriori, Applied mathematics, A priori estimates in context of PDEs, Computer science, Nonlocal Partial Differential Equations and Boundary Value Problems, Materials science, FOS: Philosophy, ethics and religion, Chemistry, Philosophy, Linear differential equations in abstract spaces, Physical Sciences, Repressor, Uniqueness, Transcription factor, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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