An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems. (16th December 2015)

• Record Type: Journal Article
• Authors: Li, Yongxiang; Shang, Yaya
• Other Names: Sadarangani Kishin Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-12-16
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/287253
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : An existence result of positive solutions is obtained for the fully second-order boundary value problem - u ′′ ( t ) = f ( t, u ( t ), u ′ ( t ) ), t ∈ [ 0, 1 ], u ( 0 ) = u ( 1 ) = 0, wheref : [ 0, 1 ] × R + × R → R is continuous. The nonlinearityf ( t, x, y ) may be sign-changing and superlinear growth onx andy . Our discussion is based on the method of lower and upper solution.