Warianty tytułu
Języki publikacji
Abstrakty
This paper deals with the study of existence and uniqueness criteria for initial and boundary value problems associated with fuzzy differential equations of first and second order with the help of a modified Lipschitz condition.
Czasopismo
Rocznik
Tom
Strony
827-838
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
autor
- Department of Applied Mathematics, Acharya Nagarjuna University, Post Graduate Centre Nuzvid, Andra Pradesh, India, drmsn2002@yahoo.com
Bibliografia
- [1] P. B. Bailey, L. F. Shampine and P. E. Waltman, Nonlinear two point boundary value problems, Academic Press (1968), New York.
- [2] G. Debreu, Integration of correspondence, in: Proc. Fifth Berkeley Symp. Math. Statist. Probab., Vol. 2, Part 1 (Univ. California Press, Berkeley, CA 1967). 351-372.
- [3] D. N. Georgious, Juan J. Nieto and Rosana Rodrigue-Lopez, Initial value problems for higher-order fuzzy differential equations, Nonlinear Anal. 63 (2005), 587-600.
- [4] D. N. Georgious, I. E. Kougias, On Cauchy problems for fuzzy differential equations. Internat. J. Math. Math. Sci. 15 (2004), 799-805.
- [5] O. Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems 24 (1987), 301-317.
- [6] O. Kaleva, The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems 35 (1990), 389-396.
- [7] V. Lakshmikantham, K. N. Murty and J. Turner, Two-point boundary value problems associated with nonlinear fuzzy differential equations, Mathematical Inequalities and Applications 4, No. 4 (2001), 527-533.
- [8] V. Lakshmikantham and R. Mohapatra, Theory of Fuzzy Differential Equations and Inclusions, Taylor and Francis, London (2003).
- [9] M. S. N. Murty and G. Suresh Kumar, Three point boundary value problems for fuzzy differential equations, Journal of the ChungCheong Mathematical Society 19, No. 1 (2006), 101-110.
- [10] J. J. Nieto, The Cauchy problem for continuous fuzzy differential equations, Fuzzy Sets and Systems 2500 (1997), 001-006.
- [11] M. L. Puri and D. A. Ralescu, Fuzzy random variables, J. Math. Anal. Appl. 114 (1986), 409-422.
- [12] H. Radstrom, An embedding theorem for space of convex sets. Proc. Amer. Math. Soc. 3 (1952), 165-169.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0022-0009