Characteristic of unique positive solution for a fractional q-difference equation with multistrip boundary conditions
Ren, Jing ; Zhai, Chengbo
Mathematical Communications, Tome 2012 (2012) no. 0, / Harvested from Mathematical Communications
We study a new fractional $q$-difference equation $m$-point boundary value problem supplemented with Riemann-Stieltjes integral, while the nonlinear terms are increasing. Using a fixed point theorem in cones, good characteristic of unique positive solution dependent on the parameter $\lambda>0$ are established. An example demonstrating the main results is presented.
Publié le : 2012-12-01
Classification:  fractional $q$-difference equations; existence and uniqueness; multistrip boundary conditions,  26A33; 34B15; 33D05; 34B27; 39A13
@article{mc3067,
     author = {Ren, Jing and Zhai, Chengbo},
     title = {Characteristic of unique positive solution for a fractional q-difference equation with multistrip boundary conditions},
     journal = {Mathematical Communications},
     volume = {2012},
     number = {0},
     year = {2012},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc3067}
}
Ren, Jing; Zhai, Chengbo. Characteristic of unique positive solution for a fractional q-difference equation with multistrip boundary conditions. Mathematical Communications, Tome 2012 (2012) no. 0, . http://gdmltest.u-ga.fr/item/mc3067/