Tytuł artykułu
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Języki publikacji
Abstrakty
New existence resilts are prosented for fuzzy differential and integral equations. Our analysis combines the stacking theorem with results concerning the maximal solution for an appropriate differential equation.
Wydawca
Czasopismo
Rocznik
Tom
Strony
171--186
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
- Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA
autor
- Department of Mathematics, National University of Ireland, Galway, Ireland
autor
- Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA
Bibliografia
- [1] Agarwal, R. P., O'Regan, D., A note on the structure of the solution set for the Cauchy differential inclusion in Banach spaces, in „Set Valued Mappings with Applications in Nonlinear Analysis”, (eds. R. P. Agarwal and D. O'Regan), Taylor and Francis Publishers, London, 2002, 11-15.
- [2] Agarwal, R. P., O'Regan, D., Lakshmikantham, V., Fuzzy Volterra integral equations: a stacking theorem approach, Appl. Anal. 83 (2004), 521-532.
- [3] Agarwal, R. P., O'Regan, D., Lakshmikantham, V., A stacking theorem approach for fuzzy differential equations, Nonlinear Anal. 55 (2003), 299-312.
- [4] Aubin, J. P., Cellina, A., Differential Inclusions, Springer Verlag, New York, 1984.
- [5] Conway, J., A Course in Functional Analysis, Springer Verlag, New York, 1990.
- [6] Corduneanu, C, Integral Equations and Applications, Cambridge University Press, New York, 1991.
- [7] Diamond, P., Theory and applications of fuzzy Volterra integral equations, preprint.
- [8] Diamond, P., Watson, P., Regularity of solution sets for differential inclusions quasi-concave in parameter, Appl. Math. Lett. 13 (2000), 31-35.
- [9] Górniewicz, L., Topological Fixed Point Theory of Multivalued Maps, Kluwer Acad. Publishers, Dordrecht, 1999.
- [10] Hüllermeier, E., An approach to modelling and simulation of uncertain dynamical systems, Internat. J. Uncertain. Fuzziness and Knowledge-Based Systems 5 (1997), 117-137.
- [11] Kuratowski, K., Topology, Vol. 2, Academic Press, New York, 1968.
- [12] Lakshmikantham, V., Leela, S., Differential and Integral Inequalities, Vol. I, Academic Press, New York, 1969.
- [13] Lakshmikantham, V., Mohapatra, R., Theory of Fuzzy Differential Equations and Inclusions, Taylor and Francis Publishers, London, 2003.
- [14] Negoita, C. V., Ralescu, D. A., Applications of Fuzzy Sets to System Analysis, John Wiley & Sons, New York, 1975.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD4-0001-0023