کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615997 | 1339334 | 2014 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solutions to homogeneous Monge–Ampère equations of homothetic functions and their applications to production models in economics
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Solutions to homogeneous Monge–Ampère equations of homothetic functions and their applications to production models in economics Solutions to homogeneous Monge–Ampère equations of homothetic functions and their applications to production models in economics](/preview/png/4615997.png)
چکیده انگلیسی
In economics, homothetic functions are production functions whose marginal technical rate of substitution is homogeneous of degree zero. Mathematically, a homothetic function is a function of the form f(x)=F(h(x1,…,xn))f(x)=F(h(x1,…,xn)), where F is a monotonically increasing function and h is a homogeneous function of any degree d≠0d≠0. In this paper, we classify homothetic functions satisfying the homogeneous Monge–Ampère equation. Several applications to production models in economics will also be given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 411, Issue 1, 1 March 2014, Pages 223–229
Journal: Journal of Mathematical Analysis and Applications - Volume 411, Issue 1, 1 March 2014, Pages 223–229
نویسندگان
Bang-Yen Chen,