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math.CA2024★ 2 cited
Nonlinear non-periodic homogenization: Existence, local uniqueness and estimates
Lutz Recke
We consider periodic homogenization with localized defects of boundary value problems for semilinear ODE systems of the type $$ \Big((A(x/\varepsilon)+B(x/\varepsilon))u'(x)+c(x,u(…
math.CA2023
A common approach to singular perturbation and homogenization I: Quasilinear ODE systems
Nikolai N. Nefedov, Lutz Recke
We consider periodic homogenization of boundary value problems for quasilinear second-order ODE systems in divergence form of the type $a(x,x/\varepsilon,u(x),u'(x))'= f(x,x/\varep…