International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 975760, 11 pages
http://dx.doi.org/10.1155/2012/975760
Research Article

Quasilinearization Technique for -Laplacian Type Equations

Inara Yermachenko1 and Felix Sadyrbaev1,2

1Faculty of Natural Sciences and Mathematics, Daugavpils University, Daugavpils, LV-5400, Latvia
2Institute of Mathematics and Computer Science, University of Latvia, Riga, LV-1459, Latvia

Received 31 March 2012; Revised 8 August 2012; Accepted 4 September 2012

Academic Editor: Paolo Ricci

Copyright © 2012 Inara Yermachenko and Felix Sadyrbaev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An equation is considered together with the boundary conditions , . 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.