We study the structure of solutions for a class of discrete-time optimal control problems. These control problems arise in economic dynamics and describe a model proposed by Robinson, Solow and Srinivasan. We are interested in turnpike properties of the approximate solutions which are independent of the length of the interval, for all sufficiently large intervals. In the present paper we show t...

This study aims to analyze the Impact of External Debt on Economic Growth Pakistan using Solow Model Approach. For this purpose, timeseries data has been utilized over period from 1976 2021 for Pakistan. Gross Domestic Product have used as dependent variable, Service, Debt, Exports, Imports, Capital Formation and Population independent variables. Ordinary Least Square method investigated existe...

1. Defining Development 2. The Solow–Swan Model 2.1. The Assumptions 2.2. Steady States 2.3. Transitional Dynamics 2.4. Produced and Non-Produced Factors 2.5. Discussion 3. Pioneers and Latecomers in Historical Perspective 3.1 “Latecomers”: The Advantages of Backwardness 3.2. The Spread of Growth to the Third World 4. Growth and its Sources since 1950 4.1 The Statistical Record 4.2. The Sources...

We introduce a time-to-build technology in a Solow model with bounded technological progress. Our analysis shows that the system may be asymptotically stable, or it can produce stability switches and Hopf bifurcations when time delay varies. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem. Nume...

Several R&D-based models of endogenous economic growth are investigated under the Solow-like assumption of fixed allocation of resources across activities. We identify model parameters that lead to explosive dynamics and analyze various economic techniques to avoid it. The techniques include adding stricter constraints on model trajectories and limiting factors in technology equation. In partic...

Foreign aid has a crucial role in helping countries develop, particularly underdeveloped nations like Pakistan. The Solow model is widely recognized framework used to study the relationship among foreign and economic growth. This serves as theoretical basis for comprehending impact of on gathering physical human capital, well technological advancements. seeks explore connection progress Pakista...

A Projection Augmented Model (PA model) is a type of haptic Augmented Reality display. It consists of a real physical model, onto which a computer image is projected to create a realistic looking object. Users can physically touch the surface of a PA model with their bare hands, which has experiential value for the types of applications for which they are being developed. However, the majority ...