Results 11 to 20 of about 47,271 (274)
Lyapunov-type Inequalities for Partial Differential Equations [PDF]
Journal of Functional Analysis, 2013 In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $\Omega$. We also consider singular and degenerate elliptic problems with $A_p$ coefficients involving the $p-$Laplace ...
Juan P. Pinasco, Napoli, Pablo L. De
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Lyapunov inequalities for time scales
Journal of Inequalities and Applications, 2002 The theory of time scales has been introduced in order to unify discrete and continuous analysis. We present a Lyapunov inequality for Sturm-Liouville dynamic equations of second order on such time scales, which can be applied to obtain a disconjugacy ...
Ridenhour Jerry +2 more
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Functional Inequalities via Lyapunov conditions [PDF]
, 2010 We review here some recent results by the authors, and various coauthors, on (weak,super) Poincar inequalities, transportation-information inequalities or logarithmic Sobolev inequality via a quite simple and efficient technique: Lyapunov conditions.
Patrick Cattiaux, Arnaud Guillin
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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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On finite-time stability and stabilization of nonlinear hybrid dynamical systems
AIMS Mathematics, 2021 Finite time stability involving dynamical systems whose trajectories converge to a Lyapunov stable equilibrium state in finite time have been studied for both continuous-time and discrete-time systems.
Junsoo Lee, Wassim M. Haddad
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Analysis of some Katugampola fractional differential equations with fractional boundary conditions
Mathematical Biosciences and Engineering, 2021 In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered.
Barbara Łupińska, Ewa Schmeidel
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IEEE Access, 2020 This paper proposes a novel generalized integral inequality based on free matrices and applies it to stability analysis of time-varying delay systems. The proposed integral inequality estimates the upper bound of the augmented quadratic term of the state
Jun Hui Lee, In Seok Park, Poogyeon Park
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A link between the log-Sobolev inequality and Lyapunov condition [PDF]
, 2016 We give an alternative look at the log-Sobolev inequality (LSI in short) for log-concave measures by semigroup tools. The similar idea yields a heat flow proof of LSI under some quadratic Lyapunov condition for symmetric diffusions on Riemannian ...
Liu, Yuan
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Global exponential periodicity of nonlinear neural networks with multiple time-varying delays
AIMS Mathematics, 2023 Global exponential periodicity of nonlinear neural networks with multiple time-varying delays is investigated. Such neural networks cannot be written in the vector-matrix form because of the existence of the multiple delays. It is noted that although the
Huahai Qiu +4 more
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Lyapunov’s inequality on timescales
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wong, Fu-Hsiang +3 more
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