Abstract

In this paper the Sturm–Liouville problem with one classical and other nonlocal two-point or integral boundary condition is investigated. There are critical points of the characteristic function analysed. We investigate how distribution of the critical points depends on nonlocal boundary condition parameters.

Highlights

  • A great attention is paid to differential problems with nonlocal boundary conditions

  • In this paper we investigate critical points of real characteristic function

  • The point xcr ∈P i is a critical point of real characteristic function, if γ = 0

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Summary

Introduction

A great attention is paid to differential problems with nonlocal boundary conditions. They are investigated both in foreign and in Lithuanian scientists papers. Differential problems with nonlocal two-point boundary conditions are investigated by A.V. Gulin, V.A. Morozova [1], V.A. Ilyin, E.I. Moiseev [2], N.I. Ionkin, E.A. Valikova [3], M. In this paper the Sturm–Liouville problem with one classical and other nonlocal two-point or integral boundary conditions is analysed. Problems with such boundary conditions were investigated in papers [4,5,6]. In this paper we investigate critical points of real characteristic function. New results on constant and critical points distribution dependence on parameter ξ are presented

Problems with nonlocal boundary conditions
Real characteristic function
Critical points
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