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http://dx.doi.org/10.14403/jcms.2011.24.4.3

EXISTENCE OF POSITIVE SOLUTIONS FOR BVPS TO INFINITE DIFFERENCE EQUATIONS WITH ONE-DIMENSIONAL p-LAPLACIAN  

Liu, Yuji (Department of Mathematics Hunan Institute of Science and Technology)
Publication Information
Journal of the Chungcheong Mathematical Society / v.24, no.4, 2011 , pp. 639-663 More about this Journal
Abstract
Motivated by Agarwal and O'Regan ( Boundary value problems for general discrete systems on infinite intervals, Comput. Math. Appl. 33(1997)85-99), this article deals with the discrete type BVP of the infinite difference equations. The sufficient conditions to guarantee the existence of at least three positive solutions are established. An example is presented to illustrate the main results. It is the purpose of this paper to show that the approach to get positive solutions of BVPs by using multi-fixed-point theorems can be extended to treat BVPs for infinite difference equations. The strong Caratheodory (S-Caratheodory) function is defined in this paper.
Keywords
one-dimension p-Laplacian difference equation; multipoint boundary value problem; positive solution; strong Caratheodory function;
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