Results 31 to 40 of about 6,469 (186)
Effective Boundary Conditions for the Heat Equation with Interior Inclusion
, 2020 Of concern is the scenario of a heat equation on a domain that contains a thin layer, on which the thermal conductivity is drastically different from that in the bulk.
Huicong Wang
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Quantitative Estimates of the Threshold Phenomena for Propagation in Reaction-Diffusion Equations [PDF]
SIAM Journal on Applied Dynamical Systems, 2019 We focus on the (sharp) threshold phenomena arising in some reaction-diffusion equations supplemented with some compactly supported initial data. In the so-called ignition and bistable cases, we prove the first sharp quantitative estimate on the (sharp ...
M. Alfaro, A. Ducrot, Grégory Faye
semanticscholar +1 more source
On the (p,h)-convex function and some integral inequalities
, 2014 In this paper, we introduce a new class of (p,h)-convex functions which generalize P-functions and convex, h,p,s-convex, Godunova-Levin functions, and we give some properties of the functions.
Z. Fang, Renjie Shi
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
International Journal of Apllied Mathematics, 2019 We present a new inequality which involves the Caputo fractional derivative of the product of two continuously differentiable functions, and establish its various properties. The inequality and its properties enable us to construct potential time-varying
B. K. Lenka
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Phi-entropy inequalities and Fokker-Planck equations [PDF]
, 2010 We present new $\Phi$-entropy inequalities for diffusion semigroups under the curvature-dimension criterion. They include the isoperimetric function of the Gaussian measure.
Bolley, François, Gentil, Ivan
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 14, Page 721-739, 2004., 2004 We study a family of diffusion models for compounded risk reserves which account for the investment income earned and for the inflation experienced on claim amounts. We are interested in the models in which the dividend payments are paid from the risk reserves.
S. Shao, C. L. Chang
wiley +1 more source
Polynomial stability of the wave equation with distributed delay term on the dynamical control
Nonautonomous Dynamical Systems, 2021 Using the frequency domain approach, we prove the rational stability for a wave equation with distributed delay on the dynamical control, after establishing the strong stability and the lack of uniform stability.
Silga Roland, Bayili Gilbert
doaj +1 more source
Adaptive stabilization of continuous‐time systems through a controllable modified estimation model
Mathematical Problems in Engineering, Volume 2004, Issue 2, Page 109-131, 2004., 2004 This paper presents an indirect adaptive control scheme of continuous‐time systems. The estimated plant model is controllable and then the adaptive scheme is free from singularities. Such singularities are avoided through a modification of the estimated plant parameter vector so that its associated Sylvester matrix is guaranteed to be nonsingular. That
M. de la Sen
wiley +1 more source
Perturbational Blowup Solutions to the 2-Component Camassa-Holm Equations [PDF]
, 2010 In this article, we study the perturbational method to construct the non-radially symmetric solutions of the compressible 2-component Camassa-Holm equations.
Camassa +25 more
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Abstract and Applied Analysis, Volume 2004, Issue 11, Page 935-955, 2004., 2004 We prove the global existence and study decay properties of the solutions to the wave equation with a weak nonlinear dissipative term by constructing a stable set in H1(ℝn).
Abbès Benaissa, Soufiane Mokeddem
wiley +1 more source