First-order differential iclucions with nonlocal initial conditions

Applied Mathematics Letters

Volumn 15, Issue 4, 2002, Pages 409-414

  Bougherif, A ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

Differential inclusion; Fixed point theorem; Nonlocal initial condition; Truncation function

Indexed keywords

EID: 31244437478     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0893-9659(01)00151-3     Document Type: Article

References (11)

1. L. Byszewski, Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem, J. Math. Anal. Appl. 162, 494-505 (1991).
2. D. Jackson, Existence and uniqueness of solutions to semilinear nonlocal parabolic equations, J. Math. Anal. Appl. 172, 256-265 (1993).
3. K. Deimling, Multivalued Differential Equations, W. deGruyter, Berlin, (1992).
4. M. Benchohra and A. Boucherif, On first order multivalued initial and periodic value problems, Dynamic Syst. Appl. 9, 559-568 (2000).
5. M. Frigon, Application de la transversalite topologique a des problemes non lineaires pour des equations differentielles ordinaires, Dissertationes Math. 296, PWN, Warszava, (1990).
6. H.-K. Han and J.-Y. Park, Boundary controllability of differential equations with nonlocal conditions, J. Math. Anal. Appl. 230, 242-250 (1999).
7. H.-Chun Lee, Analysis of some nonlocal boundary value problems associated with feedback control, Bull. Korean Math. Soc. 35, 325-338 (1998).
8. H. Brezis, Analyse Fonctionnelle et Applications, Masson, Paris, (1983).
9. A. Lasota and Z. Opial, An application of the Kakutani-Ky-Fan theorem in the theory of ordinary differential equations, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 13, 781-786 (1965).
10. H.F. Bohnenblust and S. Karlin, On a theorem of Ville, In Contributions to the Theory of Games, Vol. I, (Edited by H.W. Kuhn and A.W. Tucker), pp. 155-160, Princeton Univ. Press, (1950).
11. A. Boucherif, Periodic boundary value problems with Carathéodory nonlinearities, In Proc. Dynamic Systems and Applications I, Vol. 1, (Edited by G.S. Ladde and M. Sambandham), pp. 25-32, Dynamic Publishers, Atlanta, GA, (1994).