On the Unique Solution of a Partial Integro-Differential Equation on C z w u ∞ and Related Problems

Mubariz Garayev ()
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Mubariz Garayev: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2025, vol. 13, issue 20, 1-11

Abstract: We investigate uniqueness of the solution of a partial Duhamel equation in three dimensions in a subspace of infinite differentiable functions on the cube [ 0 , 1 ] × [ 0 , 1 ] × [ 0 , 1 ] . Some other related questions are also discussed.

Keywords: Duhamel product; Duhamel equation; unique solution; integro-differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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