Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The System of Differential Equations Associated With Involutions

Version 1 : Received: 14 September 2021 / Approved: 15 September 2021 / Online: 15 September 2021 (15:19:50 CEST)

How to cite: Dekhkonov, F.N.U. The System of Differential Equations Associated With Involutions. Preprints 2021, 2021090269 (doi: 10.20944/preprints202109.0269.v1). Dekhkonov, F.N.U. The System of Differential Equations Associated With Involutions. Preprints 2021, 2021090269 (doi: 10.20944/preprints202109.0269.v1).

Abstract

In this paper, we consider with a class of system of differential equations whose argument transforms are involution. In this an initial value problem for a differential equation with involution is reduced to an initial value problem for a higher order ordinary differential equation. Than either two initial conditions are necessary for a solution, the equation is then reduced to a boundary value problem for a higher order ODE.

Keywords

Involution; linear differential equation; fixed point; boundary value problem

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