Results 71 to 80 of about 600,406 (168)
Effective Dynamics of a Tracer Particle Interacting with an Ideal Bose Gas
, 2012 We study a system consisting of a heavy quantum particle, called tracer particle, coupled to an ideal gas of light Bose particles, the ratio of masses of the tracer particle and a gas particle being proportional to the gas density. All particles have non-
Deckert, D. -A. +3 more
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A vector field method for relativistic transport equations with applications
, 2015 We adapt the vector field method of Klainerman to the study of relativistic transport equations. First, we prove robust decay estimates for velocity averages of solutions to the relativistic massive and massless transport equations, without any compact ...
Fajman, David +2 more
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Exponentially stable solution of mathematical model of agents dynamics on time scales
Advances in Difference Equations, 2019 This work is an attempt at studying leader-following model on the arbitrary time scale. The step size is treated as a function of time. Our purpose is establishing conditions ensuring a leader-following consensus for any time scale basing on the Grönwall
Ewa Schmeidel +2 more
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, 2017 In this paper we address a particular fluid-solid interaction problem in which the solid object is lying at the bottom of a layer of fluid and moves under the forces created by waves travelling on the surface of this layer.
Benyo, Krisztian
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Integral inequalities similar to Gronwall inequality
Electronic Journal of Differential Equations, 2007 In the present paper, we establish some nonlinear integral inequalities for functions of one variable, with a further generalization functions with n independent variables.
Hassane Khellaf, Mohamed Denche
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Finite-Time Stability of Fractional-Order BAM Neural Networks with Distributed Delay
Abstract and Applied Analysis, 2014 Based on the theory of fractional calculus, the generalized Gronwall inequality and estimates of mittag-Leffer functions, the finite-time stability of Caputo fractional-order BAM neural networks with distributed delay is investigated in this paper.
Yuping Cao, Chuanzhi Bai
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An Asymptotic Behavior Property of High-Order Nonlinear Dynamic Equations on Time Scales
AxiomsIn this work, by using one dynamic Gronwall–Bihari-type integral inequality on time scales, an interesting asymptotic behavior property of high-order nonlinear dynamic equations on time scales was obtained, which also generalized two classical results ...
Yuan Yuan, Qinghua Ma
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, 2008 This paper deals with a class of integrodifferential impulsive periodic systems on Banach space. Using impulsive periodic evolution operator given by us, the -periodic PC-mild solution is introduced and suitable Poincaré operator is constructed.
Jin Rong Wang +3 more
semanticscholar +1 more source
Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales
Discrete Dynamics in Nature and Society, 2018 In this paper, the bounds on the solutions of certain delay dynamic integrodifferential systems on time scales are considered. Based on a new Gronwall-Bellman type delay integral inequality, we can estimate the boundedness of solutions to ...
Min Fan, Yazhou Tian
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An impulsive nonlinear singular version of the Gronwall-Bihari inequality
Journal of Inequalities and Applications, 2006 We find bounds for a Gronwall-Bihari type inequality for piecewise continuous functions. Unlike works in the prior literature, here we consider inequalities involving singular kernels in addition to functions with delays.
Tatar Nasser-Eddine
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