The partial averaging scheme for impulsive differential inclusions with fuzzy right-hand side

1. Abbasbandy S., Viranloo T.A., Lopez-Pouso O., Nieto J.J. Numerical methods for fuzzy differential inclusions// Computers Math. Appl. – 2004. – V.48. – P. 1633–1641.

2. Agarwal R.P., O’Regan D., Lakshmikantham V. A stacking theorem approach for fuzzy differential equations// Nonlinear Anal. – 2003. – V.55. – P. 299–312.

3. Agarwal R.P., O’Regan D., Lakshmikantham V. Maximal solutions and existence theory for fuzzy differential and integral equations// J. Appl. Analysis. – 2005. – V.11, №2. – P. 171–186.

4. Antonelli P.L., Krivan V. Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology// Open Systems Information Dynamics. – 1992. – V.1, №2. – P. 217–232.

5. Aubin J.-P. Fuzzy differential inclusions// Problems of control and information theory. – 1990.– V.19, №1. – P. 55–67.

6. Aumann R.J. Integrals of set-valued functions// J. Math. Anal. Appl. – 1965. – №12. – P. 1–12.

7. Baidosov V.A. Differential inclusions with fuzzy right-hand side// Dokl. Akad. Nauk SSSR. – 1989. – V.309, №4. – P. 781–783. (in Russian)

8. Baidosov V.A. Fuzzy differential inclusions// Prikl. Mat. Mekh. – 1990. – V.54, №1. – P. 12–17. (in Russian)

9. Colombo G., Krivan V. Fuzzy differential inclusions and nonprobabilistic likelihood// S.I.S.S.A preprint 88/91/M.

10. Guo M., Xue X., Li R. Impulsive functional differential inclusions and fuzzy population models// Fuzzy Sets and Systems. – 2003. – V.138. – P. 601–615.

11. Hullermeier E. Towards modelling of fuzzy functions// EUFIT’95. – 1995. – P. 150–154.

12. Hullermeier E. An approach to modelling and simulation of uncertain dynamical system// Internat. J. Uncertainty, Fuzziness Knowledge-Based Systems. – 1997. – №7. – P. 117–137.

13. Hullermeier E. A fuzzy simulation method// First International ICSC Symposium on Intelligent Industrial Automation (IIA’96) and Soft Computing (SOCO’96). – Reading, United Kingdom, 1996.

14. Laksmikantham V. Set differential equations versus fuzzy differential equations// Applied Mathematics and Computation. – 2005. – V.164. – P. 277–294.

15. Lakshmikantham V., Granna Bhaskar T., Vasundhara Devi J. Theory of set differential equations in metric spaces. – Cambridge Scientific Publishers, 2006.

16. Laksmikantham V., Mohapatra R.N. Theory of fuzzy differential equations and inclusions. – London: Taylor and Francis Publishers, 2003 – 178 p.

17. Laksmikantham V., Tolstonogov A.A. Existence and interrelation between set and fuzzy differential equations// Nonlinear Analysis. – 2003. – V.55. – P. 255–268.

18. Majumdar K.K., Majumder D.D. Fuzzy differential inclusions in atmospheric and medical cybernetics// IEEE Transactions on Systems, Man, and Cybernetics. Part B: Cybernetics. – 2004. – V.34, №2. – P. 877–887.

19. Mengshu Guo, Xiaoping Xue, Ronglu Li Impulsive functional differential inclusions and fuzzy population models// Fuzzy sets and system. – 2003. – V.138. – P. 601–615.

20. Park J.Y., Han H.K. Existence and uniqueness theorem for a solution of fuzzy differential equations// Internat. J. Math. and Math. Sci. – 1999. – V.22, №2. – P. 271–279.

21. Plotnikov A.V., Komleva T.A., Plotnikova L.I. On the averaging of differential inclusions with fuzzy right-hand side when the average of the right-hand side is absent// Iranian J. Optimization. – 2010. – V.2, №3. – P. 506–517.

22. Plotnikov A.V. Averaging of fuzzy integrodifferential inclusions// Intern. J. Control Sci. Engineering. – 2011. – V.1, №1. – P. 8–14.

23. Plotnikov A.V., Komleva T.A. Full averaging of control fuzzy integrodifferential inclusions with terminal criterion of quality// Intern. J. Control Sci. Engineering. – 2013. – V.3, №2. - P. 68–72.

24. Plotnikov A.V. Averaging of fuzzy controlled differential inclusions with terminal criterion of quality// Nonlin. Oscill. – 2013. – V.16, №1. – P. 105–110. (in Russian)