Positive solutions of q-difference equation

By Moustafa El-Shahed, Hassan Atef Hassan. 2009

96 citations recorded by the source corpus.

In this paper we investigate the existence of positive solutions of the q-difference equation ―D 2 q u(t) = a(t) f(u(t)) with some boundary conditions by applying a fixed point theorem in cones.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/054404e7cb5fee92bff22326b8a89334cce00f8d

How researchers see this paper

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In Applied Mathematics

1. Rui A. C. Ferreira
2. Bessem Samet
3. Mohamed Jleli
4. Allan Peterson
5. Lynn Erbe
6. Baoguo Jia
7. Carlos Lizama
8. Christopher S. Goodrich

In Modeling and Simulation

1. Rui A. C. Ferreira
2. Lynn Erbe
3. Allan Peterson
4. Baoguo Jia
5. Bessem Samet
6. Mohamed Jleli
7. Carlos Lizama
8. Christopher S. Goodrich

Citations in the corpus

• Nontrivial solutions for fractional q-difference boundary value problems (2010, background): “If we let α = 2 in the function G, then we get a particular case of the Green function obtained in [16], namely, G(x, t) = {”