UDC 519.622; 517.5

ANALYSIS OF GENERALIZED GLUSHKOV INTEGRAL MODELS WITH CONTROLLABLE
MEMORY ON THE BASIS OF THE V.K. DZYADYK a-METHOD

REFERENCES

1. Kantorovich L.V., Gorkov L.I. On some functional equations arising in the analysis of one-product economic model. Dokl. AN SSSR. 1959. Vol. 129, N 4. P. 732–735.


2. Glushkov V.M. On a class of dynamic macroeconomic models. Upravlyayushchiye sistemy i mashiny. 1977. N. 2. P. 3–6.


3. Glushkov V.M., Ivanov V.V., Yanenko V.M. Modeling developing systems [in Russian]. Moscow: Nauka, 1983. 350 p.


4. Yatsenko Yu.P. Integrated models of systems with controlled memory [in Russian]. Kiev: Nauk. Dumka, 1991. 220 p.


5. Dzyadyk V.K. Approximation methods for solving differential and integral equations [in Russian]. Kiev: Nauk. Dumka, 1988. 304 p.


6. Sergienko I.V., Zadiraka V.K., Litvin O.M. Elements of the general theory of optimal algorithms and related questions [in Ukrainian]. Kyiv: Nauk. Dumka, 2012. 400 p.


7. Ivanov V.V. Methods of computing on ECM: A reference guide [in Russian]. Kiev: Nauk. Dumka, 1986. 584 p.


8. Yanenko V.M., Denisyuk V.N., Rykhtovsky V.O., Yanenko N.V., Belyavina L.V. Modeling the risks of various forms of hemoblastosis. Komp'yuternaya matematika. 2009. N 1. P. 130–141.


9. Yatsenko Y., Hritonenko N. Optimization of the lifetime of capital equipment using integral models. Journal of Industrial and Management Optimization. 2005. Vol. 1, N 4. Р. 415–432.


10. Gavrilyuk I.P., Makarov V.L. Strongly positive operators and numerical algorithms without precision saturation [in Russian]. Kiev: Institute of Mathematics of the National Academy of Sciences of Ukraine, 2004. 500 p.


11. Babenko K.I. On the phenomenon of saturation in numerical analysis. Dokl. AN SSSR. 1978. Vol. 241, N 3. P. 505–508.


12. Gladky S.L., Stepanov N.A., Yasnitsky L.N. Yasnitsky L.N. (Ed.). Intellectual modeling of physical problems [in Russian]. Moscow – Izhevsk: SIC “Regular and chaotic dynamics”, 2006. 200 p.


13. Sergienko I.V., Khimich A.N., Yakovlev M.F. Methods for obtaining reliable solutions fщк systems of linear algebraic equations. Kibernetika i sistemnyj analiz. 2011. Vol. 47, N 1. P. 62–73.


14. Sergienko I.V. Methods of optimization and systems analysis for problems of transcomputational complexity [in Ukrainian]. Kyiv: Academiperika, 2010. 239 p.


15. Bilenko V.I. On the error of the a-method for solving Volterra integral equations with polynomial nonlinearities. Ukr. Mat. Zhurnal. 1989. Vol. 41, N 4. P. 537–543.


16. Bilenko V.I., Bozhonok K.V., Dzyadyk S.Yu. Piecewise-polynomial approximations of solutions of pulsed differential equations. Ukr. Mat. Zhurnal. 2019. Vol. 71, N 2. P. 168–178.


17. Bilenko V.I., Bozhonok K.V., Dzyadyk S.Yu., and Stelya O.B. Approximation of polynomials of solutions of algebraic-nonlinear equations of mathematical physics. Collection of works of the Institute of Mathematics of the National Academy of Sciences of Ukraine. 2016. Vol. 13, N 3. P. 7–27.


18. Bilenko V.I., Bozhonok K.V., Dzyadyk S.Yu., and Stelya O.B. Piecewise polynomial algorithms for the analysis of processes in inhomogeneous media. Cybern. Syst. Analysis. 2018. Vol. 54, N 4. P. 636–642.


19. Bilenko V.I., Kirilakha N.G. Approximation method for analyzing Kantorovich-Glushkov's models. Materials of the international scientific conference "Modern informatics: problems, achievements and prospects of development", devoted to the 90th anniversary of V.M. Glushkov. 2013. P. 130–131.


20. Letichevsky A.A., Denisenko P.N., Bilenko V.I., Volkov V.A. Implementation of numerical-analytical methods for approximation of functions given by ordinary differential equations. Kibernetika i sistemnyj analiz. 1997. N 1. P. 108–112.


21. Yatsenko Yu.P. On systems of nonlinear Volterra integral equations with an unknown lower limit of integration. Ukr. Mat. Zhurnal. 1986. Vol. 38, N 1. P. 129–131.