Basic Theory of Nonlinear Third-Order q-Difference Equations and Inclusions

被引：28
作者：
Ahmad, Bashir [1 ]
Jose Nieto, Juan [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Univ Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain
来源：
MATHEMATICAL MODELLING AND ANALYSIS | 2013年 / 18卷 / 01期
关键词：
q-difference equations; inclusions; fixed point; extremal solution; SYMMETRIES;
D O I：
10.3846/13926292.2013.760012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the existence of solutions for boundary value problems of the third-order q-difference equations and inclusions. Our results are based on some standard fixed point theorems. In case of inclusion problem, the existence results are obtained for convex as well as nonconvex multi-valued maps. We also discuss the existence of extremal solutions for the inclusion problem.
引用
收藏
页码：122 / 135
页数：14
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