The Stieltjes string model with external load

作者:

Highlights:

摘要

The following model p(t)u′(t)−p(0)φ1(u)−∫0t(gu)(s)dQ(s)=F(t)of the Stieltjes string on segment [0, l] with a nonlocal boundary value condition u(0)=φ0(u) is considered. Optimal conditions on a unique solvability of the mentioned problem are established.

论文关键词:Stieltjes string,Nonlocal boundary value condition,Lebesgue–Stieltjes integral,Functional-differential equation and inequality

论文评审过程:Received 16 November 2017, Revised 28 February 2018, Accepted 13 May 2018, Available online 18 June 2018, Version of Record 18 June 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.05.026