Approximation by First-Order Linear Differential Equations with an Initial Condition. (15th August 2016)

• Record Type: Journal Article
• Authors: Roh, Jaiok; Jung, Soon-Mo
• Other Names: Hassi Seppo Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-08-15
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/2406158
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We will consider a continuously differentiable function y : I → R satisfying the inequality p t y ′ t - q t y t - r t ≤ ε for all t ∈ I and y t 0 - α ≤ δ for some t 0 ∈ I and some α ∈ R . Then we will approximate y by a solution z of the linear equation p t z ′ t - q t z t - r ( t ) = 0 with z ( t 0 ) = α .