一类非线性差分不等式中未知函数的估计及其应用

Abstract

Abstract:

In this paper, we establish a class of nonlinear difference inequalities, where the inequalities consist of multiple iterated sums, and composite function of nonlinear function and unknown function. Firstly, the upper bounds of the unknown functions are given by technique of monotonization, amplification method, the mean-value theorem for integrals, technique of change of variable, difference and summation. Finally, we apply our derived results to the study of the estimation of solutions of difference equations.

Key words: Volterra-Fredholm type difference inequality, Multiple iterated sums, Technique of monotonization, The mean-value theorem for integrals, Estimation

CLC Number:

O178

Huang Chunmiao, Wang Wusheng. Estimation of Unknown Function on A Class of Nonlinear Difference Inequality and Application[J].Acta mathematica scientia,Series A, 2015, 35(5): 895-909.

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References

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Estimation of Unknown Function on A Class of Nonlinear Difference Inequality and Application

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