Quasilinearization Technique for Φ-Laplacian Type Equations. (2nd October 2012)

• Record Type: Journal Article
• Authors: Yermachenko, Inara; Sadyrbaev, Felix
• Other Names: Ricci Paolo Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2012(2012)
• Publication Date: 2012-10-02
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2012/975760
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : An equation d / d t (Φ ( t, x ′ )) + f ( t, x ) = 0 is considered together with the boundary conditions Φ ( a, x ′ ( a ) ) = 0, x ( b ) = 0 . This problem under appropriate conditions can be reduced to quasilinear problem for two-dimensional differential system. The conditions for existence of multiple solutions to the original problem are obtained by multiply applying the quasilinearization technique.