Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional q-derivatives

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作者
Yulin Zhao
Haibo Chen
Qiming Zhang
机构
[1] Hunan University of Technology,School of Science
[2] Central South University,Department of Mathematics
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fractional ; -difference equation; nonhomogeneous boundary value problem; positive solution; multiplicity;
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摘要
In this paper, we study a class of fractional q-difference equations with nonhomogeneous boundary conditions. By applying the classical tools from functional analysis, sufficient conditions for the existence of single and multiple positive solutions to the boundary value problem are obtained in term of the explicit intervals for the nonhomogeneous term. In addition, some examples to illustrate our results are given.
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