Results 111 to 120 of about 28,949 (123)

Lyapunov-Type Inequalities for Partial Differential Equations

2021
In this chapter, we give a survey of the most basic results on Lyapunov-type inequalities for partial differential equations. We also sketch some recent developments related to this type of inequalities.
Ravi P. Agarwal, Martin Bohner, Abdullah Özbekler   +2 more
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Lyapunov‐type inequalities for singular elliptic partial differential equations

Mathematical Methods in the Applied Sciences, 2020
We establish Lyapunov‐type inequalities for a class of singular elliptic partial differential equations. As an application of Lyapunov‐type inequalities, we obtain lower bounds for the first eigenvalue of the associated singular elliptic partial differential equations.
Dharmendra Kumar, Jagmohan Tyagi
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Lyapunov-type inequalities for the fractional p-sub-Laplacian

Advances in Operator Theory, 2020
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Kassymov, Aidyn, Suragan, Durvudkhan
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Lyapunov Type Integral Inequalities for Certain Differential Equations

gmj, 1997
Abstract In the present paper we establish Lyapunov type integral inequalities related to the zeros of solutions of certain second-order differential equations by using elementary analysis. We also present some immediate applications of our results to study the asymptotic behavior of solutions of the corresponding differential equations.
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A Lyapunov‐type inequality with the Katugampola fractional derivative

Mathematical Methods in the Applied Sciences, 2018
In this work we consider the higher order fractional differential equation with derivative defined in the sense of Katugampola. We present some equivalent integral form of the considered boundary value problem and using properties of an appropriate Green function and prove fractional counterpart of the Lyapunov inequality.
Barbara Łupińska, Tatiana Odzijewicz
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Lyapunov-type Inequalities and Applications to PDE

2005
This work is devoted to the study of resonant nonlinear boundary problems with Neumann boundary conditions. First, we consider the linear case doing a careful analysis which involves Lyapunov-type inequalities with the Lp— norms of the coefficient function.
A. Cañada, J.A. Montero, S. Villegas
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On Lyapunov type inequalities for symmetric functions

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
The author used mainly the Popoviciu inequality and the Bellman inequality to derive and prove some new Lyapunov-type inequalities for symmetric functions. Furthermore, the results obtained in some special cases yield the Mitrinović, Bullen and Vasić inequality and the Marcus-Lopes inequality.
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A Note on Multivariate Lyapunov-Type Inequality

2014
We transfer the recent obtained result of univariate Lyapunov-type inequality for third order differential equations to the multivariate setting of a shell via the polar method. Our result is better than the result of Anastassiou [Appl. Math. Letters, 24 (2011), 2167-2171] for third order partial differential equations.
AKTAŞ, Mustafa, ÇAKMAK, Devrim
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Lyapunov‐type inequality to general second‐order elliptic equations

Mathematical Methods in the Applied Sciences
We establish Lyapunov‐type inequality for equations concerning general class of second‐order non‐symmetric elliptic operators with singular coefficients. Our approach is based on the probabilistic representation of solutions and stochastic calculus. We also discuss a Lyapunov‐type inequality for equations pertaining to second‐order symmetric operator ...
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Levin- and Lyapunov-Type Inequalities

2005
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