Study of nonlinear Pachpatte’s inequalities on time scales
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DOI: 10.1186/s13662-019-2333-8
Abstract: In this paper, we develop a fundamental dynamic inequality, a generalization of comparison theorem and reproduce the proofs of some nonlinear integral Pachpatte’s inequalities by using their continuous analogue. We also unify and extend these… read more here.
Keywords: time scales; study nonlinear; pachpatte; nonlinear pachpatte ... See more keywords
Some Generalizations of (∇∇)Δ-Gronwall-Bellman-Pachpatte Dynamic Inequalities on Time Scales with Application
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DOI: 10.3390/sym14091823
Abstract: As a new usage of Leibniz integral rule on time scales, we proved some new extensions of dynamic Gronwall–Pachpatte-type inequalities on time scales. Our results extend some existing results in the literature. Some integral and… read more here.
Keywords: time; pachpatte; inequalities time; dynamic inequalities ... See more keywords