On Solvability of Solutions of Nonlocal Problem forPseudoparabolic Equations with a Small Parameter

Authors

  • Baktybay Saparbekovich Ablabekov Author
  • Ainura Kudaibergenovna Kurmanbaeva Author

Keywords:

nonlocal problem, pseudoparabolic equation, small parameter, parabolic equation, solvability

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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Published

2025-12-31

Issue

Vol. 1 No. 1 (2025): Journal of Modern Mathematical Studies

Section

Articles

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Articles published in Journal of Modern Mathematical Studies are distributed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). Authors retain copyright and grant the journal the right of first publication.