Results 61 to 70 of about 10,372 (181)
Axioms, 2019 We consider a singularly perturbed integral equation with weakly and rapidly varying kernels. The work is a continuation of the studies carried out previously, but these were focused solely on rapidly changing kernels.
Abduhafiz Bobodzhanov +2 more
doaj +1 more source
Roars, Rumbles, and Resonance: A Systematic Review and Meta‐Analysis of Crocodylian Acoustic Signals
Ecology and Evolution, Volume 16, Issue 1, January 2026.Crocodylians are highly vocal reptiles, possessing a complex acoustic signalling system including vocal and non‐vocal signals used for courtship, mating, mediating conflict, and providing maternal care. Despite this, research on crocodylian acoustic signalling remains infrequent, with methodologies and terminology varying widely across studies.
Sonnie A. Flores +3 more
wiley +1 more source
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 The article is devoted to study of boundary value problem with boundary jumps for third order linear integro-differential equation with a small parameter at the highest derivatives, provided that additional characteristic equation’s roots have opposite ...
A.E. Mirzakulova +3 more
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Gevrey multiscale expansions of singular solutions of PDEs with cubic nonlinearity [PDF]
, 2017 We study a singularly perturbed PDE with cubic nonlinearity depending on a complex perturbation parameter $\epsilon$. This is the continuation of a precedent work by the first author.
Lastra, Alberto, Malek, Stéphane
core +3 more sources
Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions
, 2017 We are interested in evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph is ...
Flyud, Volodymyr, Golovaty, Yuriy
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Melnikov Analysis for a Singularly Perturbed DSII Equation [PDF]
Studies in Applied Mathematics, 2005 Rigorous Melnikov analysis is accomplished for Davey–Stewartson II equation under singular perturbation. Unstable fiber theorem and center‐stable manifold theorem are established. The fact that the unperturbed homoclinic orbit, obtained via a Darboux transformation, is a classical solution, leads to the conclusion that only local well posedness is ...
openaire +3 more sources
International Transactions on Electrical Energy Systems, Volume 2026, Issue 1, 2026.In the midst of rapid growth in the power sector, there is a pressing need to address increasing load demands and the introduction of additional electrical vehicle‐related loads. Renewable energy resources, particularly solar photovoltaics (PVs), emerge as crucial allies in meeting the rising electricity requirements. However, integrating solar PV into
Muthuveerappan S. +3 more
wiley +1 more source
Singularly Perturbed Control Systems with Noncompact Fast Variable
, 2015 We deal with a singularly perturbed optimal control problem with slow and fast variable depending on a parameter {\epsilon}. We study the asymptotic, as {\epsilon} goes to 0, of the corresponding value functions, and show convergence, in the sense of ...
Nguyen, Thuong, Siconolfi, Antonio
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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
wiley +1 more source
Non-Polynomial Spline for Singularly Perturbed Differential-Difference Equation with Mixed Shifts and Layer Behavior [PDF]
International Journal of Mathematical, Engineering and Management SciencesVarious physical phenomena give rise to singularly perturbed differential equations with mixed shifts. Due to multiple parameters, singularly perturbed mixed delay boundary value problems are challenging to solve.
Shilpa Malge , Ram Kishun Lodhi
doaj +1 more source