Bifurcation curves of a Dirichlet problem with geometrically concave nonlinearity and an application to the generalized logistic growth model,Proceedings of the American Mathematical Society

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Bifurcation curves of a Dirichlet problem with geometrically concave nonlinearity and an application to the generalized logistic growth model
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2021-01-21 , DOI: 10.1090/proc/15274
Kuo-Chih Hung

Abstract:We study the bifurcation curves for a Dirichlet problem with geometrically concave nonlinearity. We give an application to the generalized logistic growth model

$\displaystyle \left \{ \begin {array}{l} u^{\prime \prime }(x)+\lambda f(u)=0\t... ...ight ] ^{\gamma }\text {, }\alpha ,\beta ,\gamma >0\text {.}\end{array}\right .$

There are totally six qualitatively bifurcation curves of order relations for $(\alpha ,\beta ,\gamma )$ .

中文翻译：

具有几何凹非线性的Dirichlet问题的分叉曲线及其在广义Logistic增长模型中的应用。

摘要：我们研究了具有几何凹入非线性的Dirichlet问题的分叉曲线。我们将其应用于广义物流增长模型

$\ displaystyle \ left \ {\ begin {array} {l} u ^ {\ prime \ prime}（x）+ \ lambda f（u）= 0 \ t ... ... ight] ^ {\ gamma} \ text {，} \ alpha，\ beta，\ gamma> 0 \ text {。} \ end {array} \ right。$

Rn的级数关系共有6个定性分叉曲线。 $（\ alpha，\ beta，\ gamma）$

更新日期：2021-02-08

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