کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7155279 | 1462615 | 2016 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Closed-form solutions for the Lucas-Uzawa model of economic growth via the partial Hamiltonian approach
ترجمه فارسی عنوان
راه حل های فرم بسته برای مدل لوکاس-اوزوا از رشد اقتصادی از طریق رویکرد جزئی همیلتون
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کلمات کلیدی
رشد اقتصادی، رویکرد جزئی همیلتون، لوکاسا اشاوا، همیلتون با ارزش فعلی،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
By use of our newly developed methodology (Naz et al., 2014 [1]), for solving the dynamical system of first-order ordinary differential equations (ODEs) arising from first-order conditions of optimal control problems, we derive closed-form solutions for the standard Lucas-Uzawa growth model. We begin by showing how our new methodology yields a series of first integrals for the dynamical system associated with this model and two cases arise. In the first case, two first integrals are obtained and we utilize these to derive closed-form solutions and show that our methodology yields the same results as in the previous literature. In the second case, our methodology yields three first integrals under certain restrictions on the parameters. We use these three integrals to obtain new solutions for all the variables which in turn yield new solutions for the growth rates of these variables. Our results are significant as our approach is applicable to an arbitrary system of ODEs which means that it can also be invoked for more complex models.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 30, Issues 1â3, January 2016, Pages 299-306
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 30, Issues 1â3, January 2016, Pages 299-306
نویسندگان
R. Naz, Azam Chaudhry, F.M. Mahomed,