Results 1 to 10 of about 12,063 (117)

Convergence of Implicit Iterative Processes for Semigroups of Nonlinear Operators Acting in Regular Modular Spaces

Mathematics
This paper focuses on one-parameter semigroups of ρ-nonexpansive mappings Tt:C→C, where C is a subset of a modular space Xρ, the parameter t ranges over [0,+∞), and ρ is a convex modular with the Fatou property. The common fixed points of such semigroups
Wojciech M. Kozlowski
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Remarks on the Generation of Semigroups of Nonlinear Operators on p-Fréchet Spaces, 0 < p < 1

Cubo, 2011
In this paper we study the convergence properties of the Crandall-Liggett sequence , for A a nonlinear operator on some important non-locally convex F-spaces (called p-Fréchet spaces with 0 < p < 1) and the generation of the corresponding strongly ...
Sorin G Gal
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Quasilinear Fractional Order Equations and Fractional Powers of Sectorial Operators

Fractal and Fractional, 2023
The fractional powers of generators for analytic operator semigroups are used for the proof of the existence and uniqueness of a solution of the Cauchy problem to a first order semilinear equation in a Banach space. Here, we use an analogous construction
Vladimir E. Fedorov, Marko Kostić, Tatyana A. Zakharova   +2 more
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Local existence and blowing up phenomena for a class of non-autonomous partial functional differential equations with infinite delay

Nonautonomous Dynamical Systems, 2022
In this work, we study a class of abstract non-autonomous partial functional differential equations with infinite delay. Our main results concern the local existence of the mild solution which can blow up at the finite time.
Diop Mamadou Abdoul, Ezzinbi Khalil, Kyelem Bila Adolphe   +2 more
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Stability analysis of partial differential variational inequalities in Banach spaces

Nonlinear Analysis, 2020
In this paper, we study a class of partial differential variational inequalities. A general stability result for the partial differential variational inequality is provided in the case the perturbed parameters are involved in both the nonlinear mapping ...
Faming Guo, Wei Li, Yi-bin Xiao, Stanisław Migórski   +3 more
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Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations

Advances in Difference Equations, 2020
In this paper, we introduce the concept of square-mean piecewise almost automorphic function. By using the theory of semigroups of operators and the contraction mapping principle, the existence of square-mean piecewise almost automorphic mild solutions ...
Junwei Liu, Ruihong Ren, Rui Xie
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Locally Lipschitz continuous perturbations of linear dissipative operators and nonlinear semigroups [PDF]

Proceedings of the American Mathematical Society, 1987
Locally Lipschitz continuous perturbations of linear m m -dissipative operators in Banach spaces are considered from the point of view of the nonlinear semigroup theory. A necessary and sufficient condition is given for a semilinear operator A + F A + F to be the infinitesimal generator of a ...
Oharu, Shinnosuke, Takahashi, Tadayasu
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A novel dual approach to nonlinear semigroups of Lipschitz operators [PDF]

Transactions of the American Mathematical Society, 2004
The authors investigate the characterization of Lipschitzian semigroups in a Banach space. A Lipschitzian semigroup is a one-parameter semigroup of Lipschitz operators that is strongly continuous in the parameter. It is shown that a Lipschitzian semigroup can be isometrically embedded into a certain \(C_0\)-semigroup.
Peng, Jigen, Xu, Zongben
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Results of semigroup of linear operators generating a nonlinear Schrödinger equation

Open Journal of Mathematical Analysis, 2022
In this paper, we present results of \(\omega\)-order preserving partial contraction mapping generating a nonlinear Schrödinger equation. We used the theory of semigroup to generate a nonlinear Schrödinger equation by considering a simple application of Lipschitz perturbation of linear evolution equations.
J. B. Omosowon, A. Y. Akinyele, F. Y. Aderibigbe   +2 more
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DIFFUSION OF A CONTAMINANT WITH INHOMOGENEOUS BOUNDARY CONDITIONS

Pesquimat, 2014
We prove the existence of solution for a mathematic model of diffusion of a contaminant using the Nonlinear Semigroups Theory, by means of afin operators. We also study a realistic model by means of satura tíon effects.
Yolanda Silvia Santiago Ayala, Luis Enrique Carrillo Díaz, Santiago César Rojas Romero   +2 more
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