Results 61 to 70 of about 13,185 (200)
Positive solutions for singularly perturbed nonlinear elliptic problem on manifolds via Morse theory
, 2010 Given (M, g0) we consider the problem -{\epsilon}^2Delta_{g0+h}u + u = (u+)^{p-1} with ({\epsilon}, h) \in (0, {\epsilon}0) \times B{\rho}. Here B{\rho} is a ball centered at 0 with radius {\rho} in the Banach space of all Ck symmetric covariant 2 ...
Ghimenti, Marco G. +1 more
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Parametrized Singularly Perturbed Boundary Value Problems
Journal of Mathematical Analysis and Applications, 1994 Boundary value problems for some \((\varepsilon,\lambda)\)-families of singularly perturbed higher order ordinary differential equations are considered. The author applies an approach of his paper [J. Differ. Equation 106, 312-331 (1993)] to give the lower estimates for the number of parameters \(\lambda\in \mathbb{R}^ m\) for which those equations ...
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Time‐fractional fourth‐order partial differential equations (PDEs) are typically important in the modeling of complex physical systems that have long‐memory effects and high‐order transverse spatial interaction. The paper presents a new hybrid method, called the Cuckoo Search–optimized fractional physics‐informed neural network (fPINN‐CS), that, to the
Ali Alkhathlan +5 more
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Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
Advances in Nonlinear Analysis, 2019 In the present paper, we consider the following singularly perturbed problem:
Tang Xianhua, Chen Sitong
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Abstract and Applied Analysis, 2020 In this paper, a class of linear second-order singularly perturbed differential-difference turning point problems with mixed shifts exhibiting two exponential boundary layers is considered. For the numerical treatment of these problems, first we employ a
Wondwosen Gebeyaw Melesse +2 more
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Numerics of singularly perturbed differential equations [PDF]
, 2014 The main purpose of this report is to carry out the effect of the various numerical methods for solving singular perturbation problems on non-uniform meshes.
Shakti, D
core
Singularly perturbed elliptic problems in exterior domains
Differential and Integral Equations, 2000 The paper deals with the following problem: \[ -\varepsilon^2\Delta u+u=u^{p-1},\quad u>0\text{ in }\Omega,\quad u\in H^1_0 (\Omega) \tag{1} \] where \(\Omega\) is a domain in \(\mathbb{R}^N\) such that \(\mathbb{R}^N \setminus \Omega\) is a bounded open set ...
Dancer, E. N., Yan, Shusen
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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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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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Current Practices for Analyzing Soils and Sediments via Mössbauer Spectroscopy
Journal of Plant Nutrition and Soil Science, Volume 188, Issue 5, Page 742-773, October 2025.ABSTRACT Environmental scientists are increasingly returning to Mössbauer spectroscopy (MBS) to reveal details about iron (Fe)‐bearing phases in soils and sediments. MBS is particularly powerful at distinguishing between Fe(II) and Fe(III) and, given appropriate background information, can offer exceptionally precise information on Fe speciation in ...
Aaron Thompson +9 more
wiley +1 more source