Results 61 to 70 of about 3,180,013 (158)
Total Positivity: an application to positive linear operators and to their limiting semigroups
Journal of Numerical Analysis and Approximation Theory, 2007 Some shape-preserving properties of positive linear operators, involving higher order convexity and Lipschitz classes, are investigated from the point of view of weak Tchebycheff systems and total positivity in the sense of Karlin [8].
Antonio Attalienti, Ioan Raşa
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A theorem of Rolewicz's type for measurable evolution families in Banach spaces
Electronic Journal of Differential Equations, 2001 Let $varphi$ be a positive and non-decreasing function defined on the real half-line and ${mathcal U}$ be a strongly measurable, exponentially bounded evolution family of bounded linear operators acting on a Banach space and satisfing a certain ...
Constantin Buse, Sever S. Dragomir
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Transport equations in cell population dynamics I
Electronic Journal of Differential Equations, 2010 In this article, we study a cell proliferating model, where each cell is characterized by its degree of maturity and its maturation velocity. The boundary conditions in this model generalize the known biological rules. We consider also the degenerate
Mohamed Boulanouar
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Existence of solutions to a nonlinear fractional diffusion equation with exponential growth
Nonlinear AnalysisIn this paper, we study a Cauchy problem for a space–time fractional diffusion equation with exponential nonlinearity. Based on the standard Lp-Lq estimates of strongly continuous semigroup generated by fractional Laplace operator, we investigate the ...
Jia Wei He +3 more
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A Characterization of Semilinear Dense Range Operators and Applications
Abstract and Applied Analysis, 2013 We characterize a broad class of semilinear dense range operators given by the following formula, , where , are Hilbert spaces, , and is a suitable nonlinear operator.
H. Leiva, N. Merentes, J. Sanchez
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Preservation of Mean-Square Lyapunov Exponents for Nonautonomous Stochastic Evolution Equations
AxiomsWe study the long-time behavior of nonlinear stochastic evolution equations in a separable Hilbert space driven by a Q-Wiener process. The linear part of the equation is generated by a strongly continuous semigroup with an exponential dichotomy, which ...
Dmytro Shtefan +2 more
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Optimal control solution for Pennes' equation using strongly continuous semigroup [PDF]
, 2014 summary:A distributed optimal control problem on and inside a homogeneous skin tissue is solved subject to Pennes' equation with Dirichlet boundary condition at one end and Rubin condition at the other end.
Malek, Alaeddin, Abbasi, Ghasem
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The Semigroup and the Inverse of the Laplacian on the Heisenberg Group
Cubo, 2010 By decomposing the Laplacian on the Heisenberg group into a family of parametrized partial differential operators Lt ,t ∈ R {0}, and using parametrized Fourier-Wigner transforms, we give formulas and estimates for the strongly continuous one ...
APARAJITA DASGUPTA, M.W WONG
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International Journal of Mathematics and Mathematical Sciences, 2011 Let E be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E*.
Rattanaporn Wangkeeree
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Periods of strongly continuous semigroups
, 2011 In this paper, we study the set of periods of (chaotic) strongly continuous semigroups. We prove a relationship between eigenvalues on the imaginary axis of the generator of a strongly continuous semigroup and the set of periods of the semigroup itself ...
Juan B. Seoane-Sepúlveda +5 more
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