Existence of Positive Solutions for Third-Order m-Point Boundary Value Problems with Sign-Changing Nonlinearity on Time Scales. (10th December 2012)

• Record Type: Journal Article
• Authors: Tokmak, Fatma; Karaca, Ilkay Yaslan
• Other Names: Su Yongfu Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-12-10
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/506716
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : A four-functional fixed point theorem and a generalization of Leggett-Williams fixed point theorem are used, respectively, to investigate the existence of at least one positive solution and at least three positive solutions for third-order m -point boundary value problem on time scales with an increasing homeomorphism and homomorphism, which generalizes the usual p -Laplacian operator. In particular, the nonlinear term f ( t, u ) is allowed to change sign. As an application, we also give some examples to demonstrate our results.