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February 2, 2026Mathematics1 citationsOpen Access

Investigation of Bitsadze–Samarskii Problem for Mixed-Type Equation in a Horizontal Half-Strip

A Bitsadze–Samarskii-Type Problem for a Second-Kind Mixed-Type Equation in a Domain with a Horizontal Half-Strip as Its Elliptic Part

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Authors

РЗР.Т. ЗуннуновRPRoman ParovikAEAkramkhon Ergashev

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Overview

Analysis demonstrates solution uniqueness and existence for a mixed-type equation in an unbounded domain, indicating novel insights into elliptic problems.

Key Points

  • Examine a Bitsadze–Samarskii-type problem for a second-kind mixed-type equation within an unbounded domain.
  • Analyzed uniqueness using the extremum principle.
  • Proved existence via Green's function method.
  • Utilized integral equations method for solution validation.
  • Employed properties of Bessel functions and Gauss hypergeometric function.
  • Proved the uniqueness of solution for the mixed-type problem.
  • Established existence of solutions through specific mathematical methods.
  • Visualizations confirmed correctness from mathematical and physical perspectives.
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Cite This Study

Зуннунов et al. (2026) studied this question.

synapsesocial.com/papers/6980ffa4c1c9540dea812446https://doi.org/10.3390/math14030487
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