On the conditions for the solvability of boundary-value problems for higher-order equations with discontinuous coefficients

DOI10.1134/S0001434622010254zbMath1485.35117arXiv2104.01025OpenAlexW4213415911MaRDI QIDQ2113420

Bahrom Yusuphanovich Irgashev

Publication date: 14 March 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01025

zbMATH Keywords

uniform convergenceVandermonde determinantself-adjoint problemdiscontinuous coefficientsmall denominatorseven order equation

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for PDEs of mixed type (35M12)

Cites Work

• The Dirichlet problem for a loaded mixed-type equation in a rectangular domain
• The Dirichlet problem for higher-order partial differential equations
• A. A. Dezin's problem for inhomogeneous Lavrent'ev-Bitsadze equation
• A Dirichlet problem for an equation of mixed type with a discontinuous coefficient
• The Dirichlet problem for the vibrating string equation
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