Article

Boundary Value Problem for a Fourth-Order Equation of the Parabolic-Hyperbolic Type with Multiple Characteristics with Slopes Greater Than One

Yu. P. ApakovNamangan Engineering Construction Institute, 160103, Namangan, UzbekistanS. M. Mamajonov

Russian Mathematicsjournal2022en

ABI

Abstract

In this paper, we consider a boundary value problem for a fourth-order equation of the parabolic-hyperbolic type with multiple characteristics with slopes greater than one. In the pentagonal domain, the problem is reduced to considering the Volterra integral equation of the second kind and the unique solvability of the formulated boundary value problem is proved.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Advanced Mathematical Physics Problems

Identifiers

DOI: 10.3103/s1066369x22040016

Citations and references

Cited by 2 11 references

Metrics — AkademScholar · Coming soon