Mathematical modeling

High-order differential equations with bisectorial operators on R

N. M. Skripka, V. E. Fedorov

Chelyabinsk State University

Abstract: The evolutionary linear equations resolved with respect to the m-th order derivative on R, without initial conditions, are investigated. A class of bisectorial operators has been introduced. The existence of a unique solution is proved for an equation with a bisectorial operator.

Keywords: differential equation without initial conditions, bisectorial operator, unique solvability

UDC: 517.9

DOI: 10.25587/2411-9326-2025-2-111-112