Hacettepe Journal of Mathematics and Statistics, 2021 We improve some fixed point theorems by stating a fixed point result for semigroups of monotone operators in the setting of ordered Banach spaces with a normal cone. We illustrate the usefulness of our results by proving the existence and conditional unicity of a solution of an initial value problem for discontinuous nonlinear functional-differential ...
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The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]
Probability Theory and Related Fields, 2010 Ito's construction of Markovian solutions to stochastic equations driven by a Lévy noise is extended to nonlinear distribution dependent integrands aiming at the effective construction of linear and nonlinear Markov semigroups and the corresponding processes with a given pseudo-differential generator.
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Semigroup Forum, 1987 The author extends a previous result due to Crandall and Evans for the existence of a mild solution of the abstract Cauchy problem: \[ u'(t)+Au(t)\ni F(t,u(t)). \]
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Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
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Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]
J Math Biol, 2023 Walker C.
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Computation of nonparametric, mixed effects, maximum likelihood, biosensor data based-estimators for the distributions of random parameters in an abstract parabolic model for the transdermal transport of alcohol. [PDF]
Math Biosci Eng, 2023 Asserian L, Luczak SE, Rosen IG.
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Difference Approximation of Nonlinear Evolution Equations and Semigroups of Nonlinear Operators
Publications of the Research Institute for Mathematical Sciences, 1974 Kenmochi, Nobuyuki, Oharu, Sinnosuke
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On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]
Philos Trans A Math Phys Eng Sci, 2021 Benedetti I, Obukhovskii V, Taddei V.
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Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion. [PDF]
J Math Biol, 2021 Kang H, Ruan S.
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Semigroup applications everywhere. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Nagel R, Rhandi A.
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