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- W2029487422 abstract "In this study, we propose a construction of the Green kernel for the matrix Dirichlet problemY″−A2Y=FandY(0)=0=Y(1), where A∈Cn×n and F∈L1([0,1],Cn). We apply our result to the beam differential equationDy=y⁗−(α2+β2)y″+α2β2y=f′ where α2≠β2, are defined on [0,1] with the Navier boundary conditionsy(0)=y(1)=y″(0)=y″(1)=0. In conclusion, we show that the pointwise maximum principle for the hinged beam equation holds if both α and β are real or β¯=α=k(l+i), with |k|≤ϰ(|l|)2, where ϰ(l)∈(π,3π2) is the first positive root of the equation ltant=tanh(lt)." @default.
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- W2029487422 date "2015-08-01" @default.
- W2029487422 modified "2023-09-24" @default.
- W2029487422 title "Matrix Dirichlet problem with applications to hinged beam differential equations" @default.
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- W2029487422 doi "https://doi.org/10.1016/j.jmaa.2015.01.030" @default.
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