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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 1, Pages 49–58 (Mi ivm7171)

This article is cited in 11 papers

A nonlocal boundary-value problem with conormal derivative for a mixed-type equation with two inner degeneration lines and various orders of degeneracy

M. S. Salakhitdinov, B. I. Islomov

Chair of Differential Equations, National University of Uzbekistan, Tashkent, Republic of Uzbekistan

Abstract: We prove the unique solvability of the boundary value problem with conormal derivative for a mixed-type equation with two inner degeneration lines and with various orders of degeneracy.

Keywords: mixed-type equation, problem with conormal derivative, degeneration lines, extremum principle, Fredholm integral equation.

UDC: 517.956

Received: 28.05.2009


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:1, 42–49

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© Steklov Math. Inst. of RAS, 2024