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Singularly perturbed fuzzy initial value problems

Expert Systems with Applications, 2023
In this work, we have firstly introduced singularly perturbed fuzzy initial value problems (SPFIVPs) and then we have given an algorithm for the solutions of them by using the extension principle given by Zadeh. We have presented some results on the behaviour of the α-cuts of the solutions.
Nurettin Doğan   +3 more
openaire   +2 more sources

Nonsmooth regular perturbations of singularly perturbed problems

Journal of Differential Equations, 2023
In this paper, a boundary value problem for singularly and regularly perturbed quasilinear ordinary differential equations (ODEs) in divergence form is considered. More precisely, the problem under consideration is \[ \begin{aligned} -\varepsilon^2(a(x,u(x), \varepsilon)u'(x))'+b(x,u(x),\varepsilon)&=\delta g(x), \qquad x\in(-1,1),\\ u(-1)&=u'(1)=0 ...
Nikolai N. Nefedov   +3 more
openaire   +2 more sources

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