First-order boundary value problem with nonlinear boundary condition on time scales
type: Item
instance of: scholarly article
title: First-order boundary value problem with nonlinear boundary condition on time scales
zbMATH Open document ID: 1234.34058
DOI: 10.1155/2011/845107
author: Ya-Hong Zhao
published in: Discrete Dynamics in Nature and Society
publication date: 2012-01-23T00:00:00Z
review text: Summary: This work is concerned with the following first-order dynamic equation on the time scale \(\mathbb T\) \[ x^{\Delta}(t) + p(t)x(\sigma(t)) = f(t, x(t)),\;t \in [0, T]_{\mathbb T} \] with the nonlinear boundary condition \[ x(0) = g(x(\sigma(T))). \] By applying the monotone iterative method, we not only obtain the existence of positive solutions, but also establish iterative schemes for approximating these solutions.
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 5999663
Wikidata QID: Q58655552
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/845107
OpenAlex ID: W2050089330
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description: scientific article; zbMATH DE number 5999663