Results 31 to 40 of about 29,963 (198)
Non ultracontractive heat kernel bounds by Lyapunov conditions [PDF]
, 2013 Nash and Sobolev inequalities are known to be equivalent to ultracontractive properties of heat-like Markov semigroups, hence to uniform on-diagonal bounds on their kernel densities.
Bolley, François +2 more
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Lyapunov-Type Inequalities for Conformable BVP
Journal of Applied Mathematics and Physics, 2018 In this paper, we present Lyapunov-type inequality for conformable BVP with the conformable fractional derivative of order 1≤2 and 2≤3 with corresponding boundary conditions. We obtain the Lyapunov-type inequality by a construction Green’s function and get its corresponding maximum value.
Xia Wang, Run Xu
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Journal of Function Spaces, 2019 The aim of this paper is to generalize the Choquet-like integral with respect to a nonmonotonic fuzzy measure for generalized real-valued functions and set-valued functions, which is based on the generalized pseudo-operations and σ-⊕-measures ...
Ting Xie, Zengtai Gong
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Mathematics, 2023 The authors obtain existence and uniqueness results for a nonlinear fractional pantograph boundary value problem containing a variable order Hadamard fractional derivative. This type of model is appropriate for applications involving processes that occur
John R. Graef +2 more
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Smale flows on $\mathbb{S}^2\times\mathbb{S}^1$
, 2014 In this paper, we use abstract Lyapunov graphs as a combinatorial tool to obtain a complete classification of Smale flows on $\mathbb{S}^2\times\mathbb{S}^1$.
de Rezende, Ketty A. +2 more
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Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System
Discrete Dynamics in Nature and Society, 2013 This paper proposes a new delay-depended stability criterion for a class of delayed Lur'e systems with sector and slope restricted nonlinear perturbation.
Zixin Liu +3 more
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A generalized Lyapunov-type inequality in the frame of conformable derivatives
Advances in Difference Equations, 2017 We prove a generalized Lyapunov-type inequality for a conformable boundary value problem (BVP) of order α ∈ ( 1 , 2 ] $\alpha \in (1,2]$ . Indeed, it is shown that if the boundary value problem ( T α c x ) ( t ) + r ( t ) x ( t ) = 0 , t ∈ ( c , d ) , x (
Thabet Abdeljawad +2 more
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Lyapunov-type inequalities for generalized one-dimensional Minkowski-curvature problems
Journal of Inequalities and Applications, 2020 In this paper, we consider some types of scalar equations and systems of generalized one-dimensional Minkowski-curvature problems. Using an inequality technique, we establish several new Lyapunov-type inequalities for the problems considered. Our results
Haidong Liu
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Lyapunov-type inequalities for nonlinear systems
Journal of Mathematical Analysis and Applications, 2007 The authors consider a nonlinear system of differential equations in the form \[ \begin{aligned} & x'(t) = \alpha _1 (t)x(t) + \beta _1 (t)\left| {u(t)} \right| ^{\gamma - 2}u(t), \\ & u'(t) = - \beta _2 (t)\left| {x(t)} \right| ^{\beta - 2}x(t) - \alpha _1 (t)u(t),\end{aligned} \tag{1} \] containing as special cases the well-known equations of Emden ...
Tiryaki, Aydin +2 more
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The best constant of Sobolev inequality corresponding to anti-periodic boundary value problem
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper we establish the best constant of $\mathcal{L}^{p}$ Sobolev inequality for a function with anti-periodic boundary conditions. The best constant is expressed by $\mathcal{L}^q$ norm of $(M-1)$-th order Euler polynomial.
Jozef Kiseľák
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