A Two-Point Boundary Value Problem with Reflection of the Argument

We consider the following two-point boundary value problems u″x+uπ−x+gx,uπ−x=hx in 0,π,u0=0=uπ, and u″x+uπ−x−gx,uπ−x=−hx in 0,π,u0=0=uπ, by setting h∈L10,π and g:0,π×R⟶R being a Caratheodory function. When a,b∈L10,π, ax≤3 for x∈0,π a.e. with strict inequality on a positive measurable subset of 0,π,...

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Bibliographic Details
Main Author: Nai-Sher Yeh
Format: Article
Language:English
Published: Hindawi Limited 2023-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2023/6010530