Journal of Engineering and Applied Sciences

Year: 2019
Volume: 14
Issue: 17
Page No. 6415 - 6418

A Quantum Calculus Analogue of Dynamic Leontief Production Model with Quadratic Objective Function

Authors : Rasheed Al Salih, Ali Habeeb and Watheq Laith

References

Adıvar, M. and H.C. Koyuncuoglu, 2016. Floquet theory based on new periodicity concept for hybrid systems involving q-difference equations. Appl. Math. Comput., 273: 1208-1233.
CrossRef  |  Direct Link  |  

Adıvar, M. and M. Bohner, 2006. Spectral analysis of q-difference equations with spectral singularities. Math. Comput. Modell., 43: 695-703.
CrossRef  |  Direct Link  |  

Bellman, R.E. and S.E. Dreyfus, 1962. Applied Dynamic Programming. Princeton University Press, Princeton, New Jersey, USA., Pages: 363.

Bohner, M. and A. Peterson, 2001. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhauser, Boston, Massachusetts, ISBN:9780817642259, Pages: 358.

Bohner, M. and A.C. Peterson, 2003. Advances in Dynamic Equations on Time Scales. Birkhauser, Boston, Massachusetts, ISBN:9783764342937, Pages: 348.

Bohner, M. and J.G. Mesquita, 2016. Periodic averaging principle in quantum calculus. J. Math. Anal. Appl., 435: 1146-1159.
CrossRef  |  Direct Link  |  

Bohner, M. and N. Wintz, 2013. The Kalman filter for linear systems on time scales. J. Math. Anal. Appl., 406: 419-436.
CrossRef  |  Direct Link  |  

Bohner, M. and R. Chieochan, 2013. Positive periodic solutions for higher-order functional q-difference equations. J. Appl. Funct. Anal., 8: 14-22.
Direct Link  |  

Bohner, M. and R. Chieochan, 2013. The beverton-holt q-difference equation. J. Biol. Dyn., 7: 86-95.
CrossRef  |  Direct Link  |  

Bohner, M., J. Heim and A. Liu, 2013. Solow models on time scales. Cubo, 15: 13-31.
Direct Link  |  

Bohner, M., M. Fan and J. Zhang, 2007. Periodicity of scalar dynamic equations and applications to population models. J. Math. Anal. Appl., 330: 1-9.
CrossRef  |  Direct Link  |  

Buie, R.N. and J. Abrham, 1973. Numerical solutions to continuous linear programming problems. J. Oper. Res., 17: 107-117.
CrossRef  |  Direct Link  |  

Dorn, W.S., 1960. Duality in quadratic programming. Quart. Appl. Math., 18: 155-162.
Direct Link  |  

Gale, D., 1960. The theory of Linear Economic Models. McGraw-Hill Education, New York, USA., Pages: 330.

Grinold, R.C., 1969. Continuous programming part one: Linear objectives. J. Math. Anal. Appl., 28: 32-51.
Direct Link  |  

Hanson, M.A., 1967. A continuous Leontief production model with quadratic objective function. Econ. J. Econ. Soc., 35: 530-536.
CrossRef  |  Direct Link  |  

Kac, V.G. and P. Cheung, 2002. Quantum Calculus. Springer, New York.

Levinson, N., 1966. A class of continuous linear programming problems. J. Math. Anal. Appl., 16: 73-83.
Direct Link  |  

Tyndall, W.F., 1965. A duality theorem for a class of continuous linear programming problems. J. Soc. Ind. Appl. Math., 13: 644-666.
CrossRef  |  Direct Link  |  

Tyndall, W.F., 1967. An extended duality theorem for continuous linear programming problems. SIAM. J. Appl. Math., 15: 1294-1298.
CrossRef  |  Direct Link  |  

Wen, C.F., Y.Y. Lur and H.C. Lai, 2012. Approximate solutions and error bounds for a class of continuous-time linear programming problems. Optim., 61: 163-185.
CrossRef  |  Direct Link  |  

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