On a Nonlocal Problem of the Bitsadze–Samarskii Type for an Elliptic Equation with Degeneration

• Published in: Lobachevskii journal of mathematics Vol. 46; no. 1; pp. 447 - 455
• Main Authors: Kadirkulov, B. J., Begimqulov, F. X.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.01.2025; Springer Nature B.V
• Subjects: Algebra; Analysis; Degeneration; Differential equations; Eigenvalues; Eigenvectors; Geometry; Integral equations; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Probability Theory and Stochastic Processes; Spectral methods; eigenfunctions; eigenvalues; degenerate equation; basis property; modified Bessel equation; 2010 Mathematics Subject Classification: 34G10,35R11,34A08; Bitsadze–Samarskii type problem; completeness; extremum principle; Riesz basis

In this research, a nonlocal Bitsadze–Samarskii type problem is investigated for a degenerate elliptic equation in a vertical half-strip This problem relates the value of the unknown function on the right boundary to the value of the function at an interior point of the domain. The uniqueness of the...