Solutions to resonant boundary value problem with boundary conditions involving Riemann-Stieltjes integrals

Igor Kossowski; Katarzyna Szymańska-Dębowska

doi:10.3934/dcdsb.2018019

Article Contents

2018, Volume 23, Issue 1: 275-281. Doi: 10.3934/dcdsb.2018019

This issue Previous Article Optimal control problem for a viscoelastic beam and its galerkin approximation Next Article Arzelà-Ascoli's theorem in uniform spaces

Solutions to resonant boundary value problem with boundary conditions involving Riemann-Stieltjes integrals

Igor Kossowski^, and
Katarzyna Szymańska-Dębowska

Institute of Mathematics, Lódź University of Technology, 90-924 Lódź, ul. Wólczańska 215, Poland

* Corresponding author: Igor Kossowski
* Corresponding author: Igor Kossowski

Received: September 30, 2016

Published: November 2017

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Abstract

We study the nonlinear boundary value problem consisting of a system of second order differential equations and boundary conditions involving a Riemann-Stieltjes integrals. Our proofs are based on the generalized Miranda Theorem.

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Mathematics Subject Classification: Primary: 34B10; Secondary: 34B15, 47H11.

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