Results 31 to 40 of about 78 (78)
A spectral mapping theorem for semigroups solving PDEs with nonautonomous past
Abstract and Applied Analysis, Volume 2003, Issue 16, Page 933-951, 2003., 2003 We prove a spectral mapping theorem for semigroups solving partial differential equations with nonautonomous past. This theorem is then used to give spectral conditions for the stability of the solutions of the equations.
Genni Fragnelli
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Semigroup estimates and fast-slow dynamics in parabolic-hyperbolic systems
Advances in Nonlinear Analysis, 2018 We present a general procedure to describe slow dynamics in parabolic-hyperbolic systems, under suitable assumptions on the terms appearing in the equations. In particular, our strategy relies in semigroup estimates for the evolution system associated to
Strani Marta
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Large diffusivity finite‐dimensional asymptotic behaviour of a semilinear wave equation
Journal of Applied Mathematics, Volume 2003, Issue 8, Page 409-427, 2003., 2003 We study the effects of large diffusivity in all parts of the domain in a linearly damped wave equation subject to standard zero Robin‐type boundary conditions. In the linear case, we show in a given sense that the asymptotic behaviour of solutions verifies a second‐order ordinary differential equation.
Robert Willie
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S. +3 more
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A note on the spectral operators of scalar type and semigroups of bounded linear operators
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 10, Page 635-640, 2002., 2002 It is shown that, for the spectral operators of scalar type, the well‐known characterizations of the generation of C0‐ and analytic semigroups of bounded linear operators can be reformulated exclusively in terms of the spectrum of such operators, the conditions on the resolvent of the generator being automatically met and the corresponding semigroup ...
Marat V. Markin
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions (NLCs) in Banach spaces.
Mallika D. +3 more
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On an abstract evolution equation with a spectral operator of scalar type
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 9, Page 555-563, 2002., 2002 It is shown that the weak solutions of the evolution equation y′(t) = Ay(t), t ∈ [0, T) (0 < T ≤ ∞), where A is a spectral operator of scalar type in a complex Banach space X, defined by Ball (1977), are given by the formula y(t) = e tAf, t ∈ [0, T), with the exponentials understood in the sense of the operational calculus for such operators and the ...
Marat V. Markin
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Semigroup theory applied to options
Journal of Applied Mathematics, Volume 2, Issue 3, Page 131-139, 2002., 2002 Black and Scholes (1973) proved that under certain assumptions about the market place, the value of a European option, as a function of the current value of the underlying asset and time, verifies a Cauchy problem. We give new conditions for the existence and uniqueness of the value of a European option by using semigroup theory.
D. I. Cruz-Báez +1 more
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On nonautonomous second‐order differential equations on Banach space
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 1, Page 45-54, 2001., 2001 We show the existence and uniqueness of classical solutions of the nonautonomous second‐order equation: u″(t) = A(t)u′(t) + B(t)u(t) + f(t), 0 ≤ t ≤ T; u(0) = x0, u′(0) = x1 on a Banach space by means of operator matrix method and apply to Volterra integrodifferential equations.
Nguyen Thanh Lan
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Conical maximal regularity for elliptic operators via Hardy spaces
, 2017 International audienceWe give a technically simple approach to the maximal regularity problem in parabolic tent spaces for second order, divergence form, complex valued elliptic operators.
Yi Huang, Huang, Yi
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