An approximation theory for the identification of nonlinear distributed parameter systems [PDF]
An abstract approximation framework for the identification of nonlinear distributed parameter systems is developed. Inverse problems for nonlinear systems governed by strongly maximal monotone operators (satisfying a mild continuous dependence condition ...
Banks, H. T. +2 more
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On the principle of linearized stability for quasilinear evolution equations in time‐weighted spaces
Mathematische Nachrichten, Volume 298, Issue 12, Page 3939-3959, December 2025.Abstract Quasilinear (and semilinear) parabolic problems of the form v′=A(v)v+f(v)$v^{\prime }=A(v)v+f(v)$ with strict inclusion dom(f)⊊dom(A)$\mathrm{dom}(f)\subsetneq \mathrm{dom}(A)$ of the domains of the function v↦f(v)$v\mapsto f(v)$ and the quasilinear part v↦A(v)$v\mapsto A(v)$ are considered in the framework of time‐weighted function spaces ...
Bogdan‐Vasile Matioc +2 more
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Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
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Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja +3 more
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Remarks on the Generation of Semigroups of Nonlinear Operators on p-Fréchet Spaces, 0 < p < 1 [PDF]
Cubo (Temuco), 2011 En este trabajo se estudian las propiedades de convergencia de la secuencia de Crandall-Liggett para A un operador lineal en algunos importantes F-espacios no-localmente convexos (llamado p-Frechet espacios con 0 < p < 1) y la generacion de los correspondientes semigrupos fuertemente continuos no lineales con un parametro.
openaire +1 more source
Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability
Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
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Tosio Kato's Work on Non-Relativistic Quantum Mechanics: An Outline [PDF]
, 2017 Based at a talk given at the Kato Centennial Symposium in Sept. 2017, this article discusses the scientific life and some of the scientific work of T. Kato.Comment: 15 pages.
Simon, Barry
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Relaxation in time elapsed neuron network models in the weak connectivity regime
, 2015 In order to describe the firing activity of a homogenous assembly of neurons, we consider time elapsed models, which give mathematical descriptions of the probability density of neurons structured by the distribution of times elapsed since the last ...
Mischler, S, Weng, Q
core
Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]
Automatica (Oxf), 2023 Yao M, Luczak SE, Rosen IG.
europepmc +1 more source
Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]
J Math Biol, 2023 Walker C.
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