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Some new Opial-type inequalities
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In this paper, some new Opial-type integrodifferential inequalities in one variable are established, which generalize the existing ones which have a wide range of applications in the study of differential and integral equations.Abstract:
In this paper some new Opial-type integrodifferential inequalities in one variable are established. These generalize the existing ones which have a wide range of applications in the study of differential and integral equations.read more
Citations
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Distribution of zeros and disconjugacy of fourth order differential equations
TL;DR: In this article, the gaps between zeros of nontrivial solutions of fourth order differential equations subject to some boundary conditions, and establish some sufficient conditions for (2, 2)-disconjugacy were studied.
On Opial-Dan's Type Inequalities
CJ Zhao,Wing-Sum Cheung +1 more
TL;DR: In this paper, the authors established some new Opial-type inequalities involving higher order partial derivatives, and provided new estimates on inequalities of these types for special cases of Opial's inequality.
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On Opial-type inequalities with higher order partial derivatives
Chang-Jian Zhao,Wing-Sum Cheung +1 more
TL;DR: The uniqueness of the solution of the initial value problem involvingHigher order partial differential equations involving higher order partial derivatives is proved.
On the Generalization of Opial Type Inequality for Convex Function
TL;DR: In this paper, a generalization of Opial-like inequality for convex mappings is proposed. But this generalization is based on a different approach method, and it is not applicable to the problem of convex mapping.
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Opial type inequalities for double Riemann-Stieltjes integrals
TL;DR: In this paper, the authors established Opial type inequalities for Riemann-Stieltjes integrals of functions with two variables, and obtained inequalities generalize those previously demonstrated.
References
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The Existence-Uniqueness Theorem for an nth Order Linear Ordinary Differential Equation
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An inequality similar to Opial’s inequality
TL;DR: In this article, a sharper version of Opial's original inequality was obtained for linear differential equations of order n, where y(n-1) = O for i=O, 1, n -1 where n? 1.