Diamond- h dynamics on time scales with an Application to Economics

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Fagbemigun B.O.; MOGBADEMU A.A.; OLALERU J.O.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2020 | Volume:11 | Issue:1 Page(s): 277-290

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Title

Diamond- h dynamics on time scales with an Application to Economics

Author(s)

Fagbemigun B.O. | MOGBADEMU A.A. | OLALERU J.O. | Issue Writer Certificate

Keywords

Time scales

h-concave

diamond-h

Hermite-Hadamard

dynamic models

Abstract

Conventional dynamic models in Economics are usually expressed in discrete or continuous time. A new modelling technique-time scale calculus-uni es both of these approaches into a general frame-work. In this paper, we present and construct a dynamic Optimization problem from economics in which the utility function is h-concave, the value function and constraints are on di erent Time scales. The calculus of variations and optimal control are employed, with the aid of the newly in-troduced diamond- h dynamic calculus by the authors [12] on Time scales, to obtain a solution. The Hermite-Hadamard inequality with the diamond- h dynamic integral on Time scales, follows a proof of the new model. The new diamond- h time scale model unify various related existing models involving general and more complex time domains.

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APA: Copy

Fagbemigun, B.O., MOGBADEMU, A.A., & OLALERU, J.O.. (2020). Diamond- h dynamics on time scales with an Application to Economics. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 11(1), 277-290. SID. https://sid.ir/paper/340838/en

Vancouver: Copy

Fagbemigun B.O., MOGBADEMU A.A., OLALERU J.O.. Diamond- h dynamics on time scales with an Application to Economics. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2020;11(1):277-290. Available from: https://sid.ir/paper/340838/en

IEEE: Copy

B.O. Fagbemigun, A.A. MOGBADEMU, and J.O. OLALERU, “Diamond- h dynamics on time scales with an Application to Economics,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 11, no. 1, pp. 277–290, 2020, [Online]. Available: https://sid.ir/paper/340838/en

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