MATCHING METHOD FOR NODAL SOLUTIONS OF BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS

TitleMATCHING METHOD FOR NODAL SOLUTIONS OF BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS
Publication TypeJournal Article
Year of Publication2015
AuthorsKONG, QINGKAI, GEORGE, THOMASEST
Volume19
Issue1
Start Page129
Pagination19
Date Published2015
ISSN1083-2564
AMS34B10, 34B15
Abstract

In this paper, we study the nonlinear boundary value problem consisting of the equation ${ y′′+ \int^{b}_{a}  w(t, τ)f(y, τ) \ dζ(τ) = 0 }$ on  [a, b] and a double Riemann-Stieltjes integral boundary condition. We establish the existence of various nodal solutions of this problem by matching the solutions of two boundary value problems, each of which involves one separated boundary condition and open Riemann-Stieltjes integral boundary condition, at some point in (a, b). We also obtain the conditions for nonexistence of nodal solutions of this boundary value problem.

URLhttp://www.acadsol.eu/en/articles/19/1/10.pdf
Refereed DesignationRefereed
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