Results 11 to 20 of about 1,584 (227)
An exponential limit formula for nonlinear semigroups [PDF]
Transactions of the American Mathematical Society, 1970 In recent papers, many writers have developed the theory of semigroups of operators generated by nonlinear accretive operators. In the present paper, we construct this semigroup by means of an exponential limit formula, and then use this means of obtaining the semigroup to prove an approximation theorem that is a direct generalization of the Kato ...
Joel L. Mermin
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Robust observability for regular linear systems under nonlinear perturbation
Electronic Journal of Differential Equations, 2015 In this article, we consider the admissibility and exact observability of a class of semilinear systems obtained by nonlinear perturbation for regular linear systems.
Weisheng Jiang, Bin Liu, Zhibing Zhang
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Semigroup analysis of structured parasite populations [PDF]
, 2010 Motivated by the modelling of structured parasite populations in aquaculture we consider a class of physiologically structured population models, where individuals may be recruited into the population at different sizes in general. That is, we consider a
Green, Darren +5 more
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The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]
, 2011 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 ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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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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Plasticity Models and Nonlinear Semigroups
Journal of Mathematical Analysis and Applications, 1997 The authors investigate an initial boundary value problem for an elastic-plastic material modeled by a constitutive law for which the hysteretic dependence between stress and strain is described by a system of variational inequalities. The problem is posed as an evolution equation in a Hilbert space.
Showalter, R.E, Shi, Peter
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Note on Nonlinear Contraction Semigroups [PDF]
Proceedings of the American Mathematical Society, 1969 1. Let X be a Banach space and let { F(£); 0^£< » } be a family of nonlinear operators from X into itself satisfying the following conditions: (i) T(0)=I (the identity) and T{£+7]) = T{£)T{v) for ?, t?^0. (ii) ||r(£)x-7X£);y||=g||x-3,|| for x, y EX. (iii) limj_o+ ||F(£)x — x|| =0 for xEX.
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Mathematical and Computational Applications, 2021 In the present paper, we consider an important problem from the application perspective in science and engineering, namely, one-dimensional porous–elastic systems with nonlinear damping, infinite memory and distributed delay terms.
Abdelkader Moumen +3 more
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Existence and Uniqueness of Mild Solution for Mixed type of Integro-Differential Equation [PDF]
مجلة التربية والعلم, 2018 In this paper, we study the existence and uniqueness of a mild solution of a nonlinear mixed Volterra – Fredholm integro-differential equation with nonlocal condition in Banach space. Furthermore, we study continuouce dependence of mild solution.
Akram H. Mahmood, Sara F. Abdullah
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Metric domains, holomorphic mappings and nonlinear semigroups
Abstract and Applied Analysis, 1998 We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas.
Simeon Reich, David Shoikhet
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