Results 41 to 50 of about 91,926 (215)
Singularly perturbed rank one linear operators
Математичні Студії, 2021 The basic principles of the theory of singularly perturbed self-adjoint operators are generalized to the case of closed linear operators with non-symmetric perturbation of rank one.
M.E. Dudkin, O. Yu. Dyuzhenkova
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Responsive Materials, EarlyView.Environmental pollution and water scarcity demand innovative purification methods. This study presents a sol‐gel approach to fabricate mixed silica–titania thin films joining photocatalytic activity with selective sorption capability. The films exhibit higher surface area, enhanced degradation of cationic and improved performance over bare titania ...
Andrea Lanfranchi +13 more
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Higher-Order Energy Expansions and Spike Locations [PDF]
, 2004 We consider the following singularly perturbed semilinear elliptic problem: (I)\left\{ \begin{array}{l} \epsilon^{2} \Delta u - u + f(u)=0 \ \ \mbox{in} \ \Omega, \\ u>0 \ \ \mbox{in} \ \ \Omega \ \ \mbox{and} \ \frac{\partial u}{\partial \nu}
Winter, M, Wei, J
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Neural Network-Based Adaptive Tracking Control for a Class of Nonlinear Singularly Perturbed Systems
IEEE Access, 2019 In this paper, the neural network-based adaptive tracking control method is addressed for a class of multi-input affine unknown nonlinear singularly perturbed systems.
Hao Wang, Chunyu Yang, Song Zhu
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Perturbation formula of eigenvalues in a singularly perturbed domain
Journal of the Mathematical Society of Japan, 1993 The author deals with partial degeneration of a domain (the Dumbbell shaped domain) and an asymptotic behavior of a certain class of eigenvalues of the Laplacian with Neumann boundary conditions. For small \(\zeta>0\), the domain \(\Omega(\zeta)\) is expressed as follows \(\Omega(\zeta)=D_ 1\cup D_ 2\cup Q(\zeta)\subset\mathbb{R}^ n\) where \(Q(\zeta)\)
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ChemElectroChem, Volume 13, Issue 19, 1 October 2026.A comprehensive review bridging laboratory innovation with industrial‐scale PEM electrolyzer challenges, focusing on component degradation mechanisms and their direct impact on the levelized cost of hydrogen. This work highlights the critical need for scalable, durable designs and standardized testing to accelerate the green hydrogen economy.
Yuanye Huang +3 more
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Aging Cell, Volume 25, Issue 10, October 2026.Hepatocyte‐specific GHR ablation is associated with hepatic and age‐related pathologies, triggering adipose‐liver crosstalk via elevated circulating GH and subsequent CD36‐dependent hepatic steatosis. This loss impairs STAT5b phosphorylation and enhances PPARγ nuclear activation, upregulating Pdk4 and Cd36 to drive mitochondrial dysfunction and ectopic
Kangkang Yang +7 more
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Step-like contrast structure of singularly perturbed optimal control problem
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, the existence of step-like contrast structure for a class of singularly perturbed optimal control problem is shown by the contrast structure theory.
Limeng Wu, Mingkang Ni, Haibo Lu
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Singularly Perturbed Lie Bracket Approximation
IEEE Transactions on Automatic Control, 2015 We consider the interconnection of two dynamical systems where one has an input-affine vector field. By employing a singular perturbation and a Lie bracket analysis technique, we show how the trajectories can be approximated by two decoupled systems.
Hans-Bernd Dürr +3 more
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Singularly perturbed boundary-equilibrium bifurcations
Nonlinearity, 2021 Boundary equilibria bifurcation (BEB) arises in piecewise-smooth systems when an equilibrium collides with a discontinuity set under parameter variation. Singularly perturbed BEB refers to a bifurcation arising in singular perturbation problems which limit as some $ε\to 0$ to piecewise-smooth (PWS) systems which undergo a BEB.
S Jelbart +2 more
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