On Solvability of Solutions of Nonlocal Problem forPseudoparabolic Equations with a Small Parameter
Baktybay Saparbekovich Ablabekov, Ainura Kudaibergenovna Kurmanbaeva
Source abstract
A nonlocal problem with Samarskii-Ionkin conditions for a pseudoparabolic equation with a small parameter is considered. The primary focus is on investigating the solvability of the problem in the case where nonlocal conditions of the second kind degenerate into conditions of the first kind at some points in the interval under consideration.A priori estimates are obtained, and a theorem on the unique solvability of the problem in the space of square-summable functions is proved.
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