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A Class of Volterra-Fredholm Type Difference Inequality and Its Application in Engineering

Ricai Luo, Wu-Sheng Wang

Abstract


In this paper, we discuss a class of Volterra-Fredholm type difference inequality with iterated summation. By adopting novel analysis techniques, such as: change of variable, amplification method, difference and integration, inverse function, the upper bounds of the embedded unknown functions are estimated explicitly. The derived results can be applied in the study of solutions of difference equations in engineering.

Keywords


Volterra-Fredholm type difference inequality; Iterated summation; Analysis technique; Estimation.

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