Some New Half-Linear Integral Inequalities on Time Scales and Applications

Liu, Haidong

doi:10.1155/2019/9860302

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2020

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Cited by 3 publications

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“…During the last few years, a lot of dynamic inequalities have been extended by many authors. See [25][26][27][28][29][30][31][32][33][34][35][36][37]. For example, Anderson [28] considered the following nonlinear integral inequality in two independent variables on time scale pairs: © The Author(s) 2020.…”

Section: Introductionmentioning

confidence: 99%

Some generalized Volterra–Fredholm type dynamical integral inequalities in two independent variables on time scale pairs

Liu

Yin

2020

Adv Differ Equ

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In this paper, we study some new Volterra-Fredholm type dynamical integral inequalities in two independent variables on time scale pairs, which provide explicit bounds on unknown functions. These inequalities generalize and extend some known inequalities and can be used as effective tools in the qualitative theory of certain classes of partial dynamic equations on time scales. Finally, an example is provided to illustrate the usefulness of our result.

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