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On a Recursive Approximation of Singularly Perturbed Parabolic Equations
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Struckmeier, J., Unterreiter, A.
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We have presented a numerical integration method to solve a class of singularly perturbed delay differential equations with small shift. First, we have replaced the second-order singularly perturbed delay differential equation by an asymptotically ...
Gemechis File, Y. N. Reddy
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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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Spikes for the two-dimensional Gierer-Meinhardt system: The weak coupling case [PDF]
In this paper, we rigorously prove the existence and stability of multiple-peaked patterns for the singularly perturbed Gierer-Meinhardt system in a two dimensional domain which are far from spatial homogeneity.
Winter, M, Wei, J
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The article is devoted to the study of the asymptotic behavior of solving an integral boundary value problem for a third - order linear differential equation with a small parameter for two higher derivatives, provided that the roots of the "additional ...
N.U. Bukanay +3 more
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Singularly Perturbed Fractional Schrödinger Equations with Critical Growth
We are concerned with the following singularly perturbed fractional Schrödinger equation:
He Yi
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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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The work is devoted to clarifying asymptotic with respect to a small parameter behavior of the solution of the integral boundary value problem for singularly perturbed linear integro-differential equation.
N. Aviltay, M. Akhmet
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We study the effects of heat and high temperature shocks on inflation in Australia using monthly, state‐level temperature anomaly data via two stages. In the first stage, we decompose temperature anomalies into orthogonal components using a structural vector autoregression with long‐run restrictions.
Tan Dat Huynh, Mengheng Li
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Singularly Perturbed Problems: Asymptotic Analysis and Approximate Solution
This book collects papers from the Special Issue "Singularly Perturbed Problems: Asymptotic Analysis and Approximate Solution", published in Axioms. These papers cover different aspects of singular perturbation theory and its applications: axiomatic ...
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