Article
Full entry |
PDF
(2.0 MB)
Feedback
PDF
(2.0 MB)
Feedback
Keywords:
Carathéodory functions; Arzelà-Ascoli theorem; Lebesgue theorem
Carathéodory functions; Arzelà-Ascoli theorem; Lebesgue theorem
Summary:
Sufficient conditions for the existence of solutions to boundary value problems with a Caratheodory right hand side for ordinary differential systems are established by means of continuous approximations.
References:
[1] P. Calábek: A four-point problem for second-order differential systems. Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 114, 7-15. MR 1385740
[2] P. Calábek: Second-order differentiai systems and a regularization operator. Ann. Math. Sil. 10, 67-78. MR 1399611
[3] S. Fučík O. John A. Kufner: Function Spaces. Academia, Prague, 1977. MR 0482102
[4] K. Yosida: Functional Analysis. 6-th edition, Springer-Verlag, BerІin, 1980. MR 0617913 | Zbl 0435.46002
[5] A. Granas R. Guenther J. Lee: Some existence principies in the Carathéodory theory of nonlinear differential systems. J. Math. Pures Appl. 70 (1991), 153-196. MR 1103033
[6] I. T. Kiguradze: Boundary value problems for systems of ordinary differential equations. Itogi nauki i tehniki, ser. Sovr. problemy matematiki. Nov. dostizhenija. t. 30, VINITI, Moskva, 1987, pp. 3-103. (In Russian.) MR 0925829 | Zbl 0782.34025
Search
Partner of
