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Differential and integral inequalities with applications to stability and control

Differential and integral inequalities play an important role in the qualitative theory of both deterministic and stochastic systems. It is well known that Gronwall–Bellman Type inequalities in differential or integral form and other similar inequalities can provide differential estimates for the solutions of dynamical systems. Differential and integral inequalities can also be applied to prove a variety of properties of a solution of dynamical systems. Moreover, the combination of differential and integral inequalities and the concept of a Lyapunov control function will be an effective framework for investigating the stability performance of the solutions of dynamical systems.

This thematic series collects excellent original research papers related to differential and integral inequalities and its applications to stability and control.

Edited by: Honglei Xu, Cedric Yiu, and Jianxiong Ye

  3. This paper is devoted to studying the approximate controllability for second-order impulsive differential inclusions with infinite delay. For proving the main results, we use the results related to the cosine ...

    Authors: Kottakkaran Sooppy Nisar and Velusamy Vijayakumar
    Citation: Journal of Inequalities and Applications 2022 2022:53
    Content type: Research Published on:

  4. A branch of mathematical science known as chemical graph theory investigates the implications of connectedness in chemical networks. A few researchers have looked at the solutions of fractional differential eq...

    Authors: Wajahat Ali, Ali Turab and Juan J. Nieto
    Citation: Journal of Inequalities and Applications 2022 2022:5
    Content type: Research Published on:

  6. The main aim of this paper is to investigate various types of Ulam stability and Mittag-Leffler stability of linear differential equations of first order with constant coefficients using the Aboodh transform m...

    Authors: Ramdoss Murali, Arumugam Ponmana Selvan, Sanmugam Baskaran, Choonkil Park and Jung Rye Lee
    Citation: Journal of Inequalities and Applications 2021 2021:133
    Content type: Research Published on: