Results 1 to 10 of about 462 (165)
Nonlinear extension of the quantum dynamical semigroup [PDF]
Quantum, 2021 In this paper we consider deterministic nonlinear time evolutions satisfying so called convex quasi-linearity condition. Such evolutions preserve the equivalence of ensembles and therefore are free from problems with signaling.
Jakub Rembieliński, Paweł Caban
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A semigroup approach to nonlinear Lévy processes [PDF]
Stochastic Processes and Their Applications, 2020 We study the relation between Lévy processes under nonlinear expectations, nonlinear semigroups and fully nonlinear PDEs. First, we establish a one-to-one relation between nonlinear Lévy processes and nonlinear Markovian convolution semigroups. Second, we provide a condition on a family of infinitesimal generators $(A_λ)_{λ\inΛ}$ of linear Lévy ...
Michael Kupper +2 more
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Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems
Mathematics, 2021 We consider the Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a finite-dimensional
Alexandre Mauroy
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Controllability of Nonlinear Boundary Value Control Systems in Banach Spaces Using Schauder Fixed Point Theorem [PDF]
Engineering and Technology Journal, 2015 In this paper, sufficient conditions for controllability of nonlinear boundary value control system in Banach spaces are established. The results are obtained by using semigroup theory “compact semigroup”and some techniques of nonlinear functional ...
Naseif J. Al-Jawari, Imad N. Ahmed
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Differentiability of a nonlinear semigroup in L1
Journal of Mathematical Analysis and Applications, 1977 Lawrence C Evans
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Nonlinear Analysis, 2022 The objective of our paper is to investigate the optimal control of semilinear population dynamics system with diffusion using semigroup theory. The semilinear population dynamical model with the nonlocal birth process is transformed into a standard ...
Rohit Patel +4 more
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Existence of Mild Solutions for Nonlocal Evolution Equations with the Hilfer Derivatives
Journal of Function Spaces, 2023 The existence of mild solutions for Hilfer fractional evolution equations with nonlocal conditions in a Banach space is investigated in this manuscript.
Abu Bakr Elbukhari, Zhenbin Fan, Gang Li
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Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay
Journal of Inequalities and Applications, 2007 We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of ...
Hassane Bouzahir
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A Study on the Impact of Nonlinear Source Term in Black-Scholes Option Pricing Model
Abstract and Applied Analysis, 2022 In this work, we study the effect of nonlinear source term in Black-Scholes model by finding the solution of it. We use the mathematical concepts of existence and uniqueness to arrive the conclusion. The transformation of the nonlinear equation into heat
P. Sozhaeswari +3 more
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Regularizing Properties of Nonlinear Semigroups [PDF]
Proceedings of the American Mathematical Society, 1987 It is known that some classes of m m -accretive operators
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