Necessary conditions for continuous dependence

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm

Volumn 3, Issue 4, 1997, Pages 509-515

  Artstein, Zvi ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

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EID: 0342482838     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Z. Artstein, Continuous dependence on parameters: On the best possible results, J. Differential Equations, 19, (1975) 214-225.
2. E.A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.
3. J.I. Gikhman, On a theorem of N.N. Bogolyubov, Ukranian Math. J., 4 (2), (1952) 215-218.
4. J.K. Hale, Ordinary Differential Equations, Wiley, New York, 1972.
5. A.J. Heunis, Continuous dependence of solutions of an ordinary differential equation, J. Differential Equations, 54, (1984) 121-128.
6. Z. Kánnai and P. Tallos, Stability of solution sets of differential inclusions. Acta Sci. Math. (Szeged), 61, (1995) 197-207.
7. J. Kurzweil and Z. Vorel, Continuous dependence of solutions of differential equations on a parameter, Czechos. Math. J., 7, (1957) 568-583.
8. L.W. Neustadt, On the solutions of certain integral-like operator equations. Existence, uniqueness and dependence theorems, Arch. Rat. Mech. Anal., 38, (1970) 131-160.
9. L.C. Piccinini, G-convergence for ordinary differential equations. In Recent Methods in Non Linear-Analysis, De Giorgi et al., eds., Pitagora Editrice Bologna, Bologna, 1979, pp. 257-279.
10. W.T. Reid, Ordinary Differential Equations, Wiley, New York, 1971.
11. Z. Vorel, Continuous dependence on parameters, Nonlinear Anal., 5, (1981) 373-380.