INITIAL BOUNDARY-VALUE PROBLEM FOR AN INHOMOGENEOUS MIXED-TYPE PARTIAL DIFFERENTIAL EQUATION WITH TWO DEGENERATION LINES

Authors

  • Sharipov J. I. Mirza Ulugbek National University of Uzbekistan

Keywords:

Mixed-type, ill-posed boundary-value problem, a priori estimates, conditional stability of the solution, uniqueness of the solution, well-posedness set.

Abstract

In this section, we consider a boundary-value problem for an inhomogeneous mixed-type partial differential equation with two degeneracy lines. We obtain a representation of the solution, derive an a priori estimate for the solution, and obtain theorems proving its uniqueness and conditional stability on the solution's well-posedness set.

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Published

2026-06-08

Issue

Vol. 4 No. 6 (2026): ESMJ

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

INITIAL BOUNDARY-VALUE PROBLEM FOR AN INHOMOGENEOUS MIXED-TYPE PARTIAL DIFFERENTIAL EQUATION WITH TWO DEGENERATION LINES. (2026). European Science Methodical Journal, 4(6), 7-18. https://europeanscience.org/index.php/3/article/view/1764