Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Closed-form solutions of Lucas-Uzawa model with externalities via
  partial Hamiltonian approach   In this paper, we establish multiple closed-form solutions for all the
variables in the Lucas-Uzawa model with externalities for the case with no
parameter restrictions as well as for cases with specific parameter
restrictions. These multiple solutions are derived with the help of the results
derived in Naz et al (2016); Naz and Chaudhry (2017). This multiplicity of
solutions is new to the economic growth literature on Lucas-Uzawa model with
externalities. After finding solutions for the Lucas-Uzawa model with
externalities, we use these solutions to derive the growth rates of all the
variables in the system which enables us to fully describe the dynamics of the
model. The multiple solutions can potentially explain why some countries
economically overtake other countries even though they start from the same
initial conditions.

35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph