Guo, Mengshu; Xue, Xiaoping; Li, Ronglu Impulsive functional differential inclusions and fuzzy population models. (English) Zbl 1084.34072 Fuzzy Sets Syst. 138, No. 3, 601-615 (2003). Summary: We establish some existence results for the impulsive functional-differential inclusion and the fuzzy impulsive functional-differential equation with some conditions, and study properties of the solution set and the attainable set. Finally, the results are used to fuzzy population models. Cited in 62 Documents MSC: 34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument) 92D25 Population dynamics (general) Keywords:Fuzzy impulsive functional-differential inclusion (equation); The solution set; The attainable set; Fuzzy population model PDF BibTeX XML Cite \textit{M. Guo} et al., Fuzzy Sets Syst. 138, No. 3, 601--615 (2003; Zbl 1084.34072) Full Text: DOI OpenURL References: [1] Akinyele, O., Cone-valued lyiapunov functions and stability of impulsive control systems, Nonlinear. anal., 39, 247-259, (2000) · Zbl 0939.34057 [2] Angelova, J.; Dishliev, A., Optimization problems for one-impulsive models from population dynamics, Nonlinear anal., 39, 483-498, (2000) · Zbl 0942.34010 [3] Aubin, J.P., Impulse and hybrid control systems: A viability approach, first preliminary draft of lecture notes of a mini-course, (1999), University of California Berkeley [4] Aubin, J.P.; Cellina, A., Differential inclusions, (1984), Springer New York [5] Diamond, P., Time-dependent differential inclusions, cocycle attractors and fuzzy differential equations, IEEE trans. fuzzy systems, 7, 734-740, (1999) [6] Diamond, P.; Kloeden, P., Metric spaces of fuzzy sets, (1994), World Scientific Singapore · Zbl 0843.54041 [7] Diamond, P.; Watson, P., Regularity of solution sets for differential inclusions quasiconcave in a parameter, Appl. math. lett., 13, 31-35, (2000) · Zbl 0944.34008 [8] Hullermeier, E., An approach to modeling and simulation of uncertain dynamical systems, Int. J. uncertainty, fuzziness, knowledge-bases syst., 5, 117-137, (1997) · Zbl 1232.68131 [9] Pandit, S.G.; Deo, S.G., Differential systems involving impulses, Lecture notes in mathematics, Vol. 954, (1982), Springer New York [10] Puri, M.L.; Ralescu, D.A., Differentials of fuzzy functions, J. math. anal. appl., 91, 552-558, (1983) · Zbl 0528.54009 [11] Stewart, D.E., Rigid-body dynamics with friction & impact, SIAM rev., 42, 3-39, (2000) · Zbl 0962.70010 [12] Stewart, D.E., Reformulations of measure differential inclusions and their closed graph properly, J. differential equations, 174, 109-129, (2001) · Zbl 0990.34014 [13] A.A. Tolstonogov, On comprising theorems for differential inclusion in locally convex spaces, I and II, Differential Equations 17 (1981) 651-659 and 1016-1024 (in Russian). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.