| Gronwll-Bellman Type Nonlinear Sums-Difference Inequalities and Applications in Difference Equations |
| Received:November 09, 2017 Revised:January 13, 2018 |
| Key Words:
sum-difference inequality power monotonicity boundary value problem boundedness
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11561019) and the Fundamental Research Funds for the Central Universities (Grant No.2012017yjsy141). |
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| Abstract: |
| In this paper, we establish some general sums-difference inequalities with two variables. The inequalities involve finite sum and every term contains the unknown function of the composite function with the power of $p_i$. In the end, we study boundedness of the solution of the difference equations as applications. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2018.04.007 |
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