Gronwll-Bellman Type Nonlinear Sums-Difference Inequalities and Applications in Difference Equations
Received:November 09, 2017  Revised:January 13, 2018
Key Word: sum-difference inequality   power   monotonicity   boundary value problem   boundedness  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11561019) and the Fundamental Research Funds for the Central Universities (Grant No.2012017yjsy141).
Author NameAffiliation
Zizun LI School of Mathematics, Sichuan University, Sichuan 610064, P. R. China 
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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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