Existence of Solutions for m-point Boundary Value Problems on a Half-Line. (17th August 2009)

• Record Type: Journal Article
• Authors: Yu, Changlong; Guo, Yanping; Ji, Yude
• Other Names: Eloe Paul Academic Editor.
• Is Part Of: Advances in difference equations. Volume 2009(2009)
• Publication Date: 2009-08-17
• Subjects: Difference equations -- Periodicals; 515.625
• DOI: 10.1155/2009/609143
• Languages: English
• ISSNs: 1687-1847

Abstract

Abstract : By using the Leray-Schauder continuation theorem, we establish the existence of solutions form -point boundary value problems on a half-linex ″ ( t ) + f ( t, x ( t ), x ′ ( t ) ) = 0, 0 < t < + ∞, x ( 0 ) = ∑ i = 1 m − 2 α i x ( η i ), lim t → + ∞ x ′ ( t ) = 0, whereα i ∈ R, ∑ i = 1 m − 2 α i ≠ 1 and0 < η 1 < η 2 < ⋯ < η m − 2 < + ∞ are given.