A new class of nonlinear Gronwall–Bellman delay integral inequalities with power and its applications

Author:

Fang Bo,Liu Yujiao,Xu RunORCID

Abstract

AbstractIn this paper, we establish some new delay Gronwall–Bellman integral inequalities with power, which can be used as a convenient tool to study the qualitative properties of solutions to differential and integral equations. We also give some examples to illustrate the application of our results to obtain the estimation for the solution of the integral and differential equations.

Funder

National Science Foundation of China

National Science Foundition of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference26 articles.

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4. Lakshmikantham, V., Leela, S.: Differential and Integral Inequalities, Theory and Applications. Academic Press, New York (1969)

5. EI-Owaidy, H., Ragab, A., Abdeldaim, A.: On some new integral inequalities of Gronwall–Bellman type. Appl. Math. Comput. 106, 289–303 (1999)

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