Results 11 to 20 of about 165 (138)
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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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 ...
Oharu, Shinnosuke, Takahashi, Tadayasu
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Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
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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 +2 more
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Single-Mode and Dual-Mode Nongomogeneous Dissipative Structures in the Nonlocal Model of Erosion
Моделирование и анализ информационных систем, 2015 We consider a periodic boundary-value problem for a nonlinear equation with the deviating spatial argument in the case when the deviation is small. This equation is called a spatially nonlocal erosion equation.
A. M. Kovaleva, D. A. Kulikov
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Asynchronous exponential growth of semigroups of nonlinear operators
Journal of Mathematical Analysis and Applications, 1992 The authors analyze the property of asynchronous exponential growth for the abstract nonlinear differential equation \(z'(t)= Az(t)+ F(z(t))\), \(t\geq 0\), \(z(0)= x\in X\), where \(A\) is the infinitesimal generator of a semigroup of linear operators in the Banach space \(X\) and \(F\) is a nonlinear operator in \(X\). Asynchronous exponential growth
Gyllenberg, M, Webb, G.F
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Developments in Modular Space Fixed Point Theory
MathematicsThis survey article offers a snapshot view of the present state of fixed point theory within modular spaces, highlighting fundamental principles and their applications.
Wojciech M. Kozlowski
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
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