Results 21 to 30 of about 174,550,829 (158)
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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A class of abstract quasi-linear evolution equations of second order [PDF]
, 1999 In this paper we study the abstract quasi-linear evolution equation of second order formula here in a general banach space z. it is well-known that the abstract quasi-linear theory due to kato [10, 11] is widely applicable to quasi-linear partial ...
NAOKI TANAKA, Tanaka, Naoki
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On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities
, 2022 Motivated by the analysis of homogeneous operators and semigroups in [10], in this paper we perform an spectral analysis of homogeneous operators and give simple characterization of generators of homoge- neous semigroups and of homogeneous sectorial ...
Rodríguez Bernal, Aníbal +3 more
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Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion
Mathematische Nachrichten, EarlyView.ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng +3 more
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The Perron Problem for C-Semigroups [PDF]
, 2004 <p>Characterizations of Perron-type for the exponential stability of exponentially bounded C-semigroups are given. Also, some applications for the asymptotic behavior of the integrated semigroups are obtained.</p>
Prada, Petre +2 more
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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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Markov‐Associated Quadratic Stochastic Families and the Susceptible‐Infected‐Recovered (SIR) Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We introduce a Markov‐associated construction for quadratic stochastic families generated by a symmetric cubic stochastic matrix and a finite‐state homogeneous Markov semigroup. The constructed family is not assumed to be a classical quadratic stochastic process of type (A)$$ (A) $$ or type (B)$$ (B) $$; rather, it is a Markov‐associated ...
Taimun Qaisar +3 more
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On the asymptotic behavior of nonlinear semigroups and the range of accretive operators II
Journal of Mathematical Analysis and Applications, 1981 Abstract : It is known that certain problems in partial differential equations may be interpreted as initial value problems for ordinary differential equations in Banach spaces. When such an evolution equation is governed by an accretive operator, then its solutions give rise to a nonlinear contraction semigroup.
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Recent results have shown that domain‐uniform stabilizability and detectability imply spatial exponential decay of perturbations in optimally controlled hyperbolic PDEs on one‐dimensional domains. This domain‐uniform stabilizability and detectability can be achieved only if the control domain is distributed over the whole spatial domain such ...
Benedikt Oppeneiger
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Partial Observation of Linear Systems With the Mori–Zwanzig Formalism
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations.
Fan Wang, Peter Benner, Jan Heiland
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