Results 11 to 20 of about 29,963 (198)
Lyapunov-type inequalities for n-dimensional quasilinear systems
Electronic Journal of Differential Equations, 2013 In this article, inspired by the paper of Yang et al [12], we establish new versions of Lyapunov-type inequalities for a certain class of Dirichlet quasilinear systems.
Mustafa Fahri Aktas
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LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS [PDF]
Journal of the Australian Mathematical Society, 2020 AbstractIn this article, we establish a Lyapunov-type inequality for the following extremal Pucci’s equation:$$\begin{eqnarray}\left\{\begin{array}{@{}ll@{}}{\mathcal{M}}_{\unicode[STIX]{x1D706},\unicode[STIX]{x1D6EC}}^{+}(D^{2}u)+b(x)|Du|+a(x)u=0 & \text{in}~\unicode[STIX]{x1D6FA},\\ u=0 & \text{on}~\unicode[STIX]{x2202}\unicode[STIX]{x1D6FA},\
J. TYAGI, R. B. VERMA
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
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On the Lyapunov Type Inequality
Russian Mathematics, 2020 The author's main result concernes an estimate on the zeros of the solutions to a linear equation of the type \[ x''+p(t)x'(t)+q(t)x=0. \] When \(p(t)\) is identically equal to zero, Lyapunov provided the following result: if \(x(t)\) is a solution such that \(x(a)=x(b)=0\) and \(x(t)\ne0\) for every \(t\in(a,b)\), then \[ \int_a^b|q(t)|\,dt\ge\frac{4}{
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Lyapunov-type inequalities for third order nonlinear equations
Differential Equations & Applications, 2022 We derive Lyapunov-type inequalities for general third order nonlinear equations involving multiple $ψ$-Laplacian operators of the form \begin{equation*} (ψ_{2}((ψ_{1}(u'))'))' + q(x)f(u) = 0, \end{equation*} where $ψ_{2}$ and $ψ_{1}$ are odd, increasing functions, $ψ_{2}$ is super-multiplicative, $ψ_{1}$ is sub-multiplicative, and $\frac{1}{ψ_{1}}$ is
Behrens, Brian, Dhar, Sougata
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Eigenvalues of Curvature, Lyapunov exponents and Harder-Narasimhan filtrations [PDF]
, 2016 Inspired by Katz-Mazur theorem on crystalline cohomology and by Eskin-Kontsevich-Zorich's numerical experiments, we conjecture that the polygon of Lyapunov spectrum lies above (or on) the Harder-Narasimhan polygon of the Hodge bundle over any Teichm ...
Yu, Fei
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Fractional operators with exponential kernels and a Lyapunov type inequality
Advances in Difference Equations, 2017 In this article, we extend fractional calculus with nonsingular exponential kernels, initiated recently by Caputo and Fabrizio, to higher order. The extension is given to both left and right fractional derivatives and integrals.
Thabet Abdeljawad
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On Lyapunov-type inequality for a class of quasilinear systems
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we establish a new Lyapunov-type inequality for quasilinear systems. Our result in special case reduces to the result of Watanabe et al. [J. Inequal. Appl. 242(2012), 1-8]. As an application, we also obtain lower bounds for the eigenvalues
Devrim Cakmak
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Nonlinear Analysis, 2020 This paper concerns the issues of exponential stability in Lagrange sense for a class of stochastic Cohen–Grossberg neural networks (SCGNNs) with Markovian jump and mixed time delay effects.
Iswarya Manickam +4 more
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Mathematics, 2019 We consider a coupled system of partial differential equations involving Laplacian operator, on a rectangular domain with zero Dirichlet boundary conditions. A Lyapunov-type inequality related to this problem is derived.
Mohamed Jleli, Bessem Samet
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