Results 51 to 60 of about 1,301,601 (206)
On Singularly Perturbed Retarded Functional Differential Equations
Journal of Differential Equations, 2001 Here, the singularly perturbed system is considered: \[ \dot x(t) =F(t,x_t,y_{t, \varepsilon}),\;x(t)\in \mathbb{R}^n,\quad \varepsilon\dot y(t)=g (t,x_t,y_{t, \varepsilon}),\;y(t)\in \mathbb{R}^m, \] with \(x_t(\theta) =x(t+\theta)\), \(y_{t,\varepsilon} (\theta)= y(t+\varepsilon \theta)\), \(\theta\in [-\tau,0]\).
Artstein, Zvi, Slemrod, Marshall
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Water Resources Research, Volume 62, Issue 8, August 2026.Abstract Ice forms seasonally in mid‐latitude soils, and permanently as permafrost in arctic sediments. Ice blocks some of the pore space, altering the flow of both liquid water and gas. Here, we determine the equilibrium position of ice in a three‐phase ice/water/gas system by minimizing the free energy of the system.
David DiCarlo +2 more
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Asymptotic estimates of the solution for a singularly perturbed Cauchy problem
Қарағанды университетінің хабаршысы. Математика сериясыThe article focuses on the initial problem for a third-order linear integro-differential equation with a small parameter at the higher derivatives, assuming that the roots of the additional characteristic equation have opposite signs.
N.U. Bukanay +2 more
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Advanced Materials Technologies, Volume 11, Issue 13, 8 July 2026.Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
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International Journal of Differential Equations, 2017 In this work, approximations to the solutions of singularly perturbed second-order linear delay differential equations are studied. We firstly use two-term Taylor series expansion for the delayed convection term and obtain a singularly perturbed ordinary
Süleyman Cengizci
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Mathematics, 2021 An infinite-bound stabilization of a system modeled as singularly perturbed bilinear systems is examined. First, we present a Lyapunov equation approach for the stabilization of singularly perturbed bilinear systems for all ε∈(0, ∞).
Ding-Horng Chen +2 more
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An Algebraic Study of Parametric Stokes Phenomena
Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
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Asymptotics of the Solutions to Singularly Perturbed Integral Equations
Journal of Mathematical Analysis and Applications, 1993 The authors study the asymptotics of \(h_ \varepsilon\) as \(\varepsilon \to 0\), where \(h_ \varepsilon\) is a solution of the integral equation \((*)\) \(\varepsilon h_ \varepsilon+Rh_ \varepsilon=f\), \(\varepsilon>0\), \(Rh_ \varepsilon(x)=\int^ \beta_ \alpha R(x-y)h_ \varepsilon(y)dy\) with \(R(x)=P(D)G(x)\), \(P(D)=\sum^ p_{j=0}a_ jD^ j\), \(D=d ...
Ramm, A.G., Shifrin, E.I.
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MedComm – Oncology, Volume 5, Issue 2, June 2026.CHD4 plays an essential role as an epigenetic regulator in the pathogenesis of multiple myeloma. The chromatin remodeling protein initially resolves G‐quadruplex (G4) secondary structures within the c‐Myc promoter region, thereby enhancing chromatin accessibility and promoting transcriptional activation.
Pinggang Ding +10 more
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On the stationary Cahn-Hilliard equation: Interior spike solutions [PDF]
, 1998 We study solutions of the stationary Cahn-Hilliard equation in a bounded smooth domain which have a spike in the interior. We show that a large class of interior points (the "nondegenerate peak" points) have the following property: there exist such ...
Winter, M, Wei, J
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