Positive solutions of functional difference equations with <it>p</it>-Laplacian operator
oleh: Song Chang-Xiu
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2006-01-01 |
Deskripsi
<p/> <p>The author studies the boundary value problems with <it>p</it>-Laplacian functional difference equation Δ<it>φ</it><sub><it>p</it></sub>(Δ<it>x</it>(<it>t</it>)) + <it>r</it>(<it>t</it>)<it>f</it>(<it>x</it><sub><it>t</it></sub>) = 0, <it>t</it> ∈ [0, <it>N</it>], <it>x</it><sub>0</sub> = <it>ψ</it> ∈ <it>C</it><sup>+</sup>, <it>x</it>(0) - <it>B</it><sub>0</sub>(Δ<it>x</it>(0)) = 0, Δ<it>x</it>(<it>N</it>+1) = 0. By using a fixed point theorem in cones, sufficient conditions are established for the existence of twin positive solutions.</p>