Existence of mild solutions on semiinfinite interval for first order differential equation with nonlocal condition

Commentationes Mathematicae Universitatis Carolinae

Volumn 41, Issue 3, 2000, Pages 485-491

  Benchohra, M ^a   Ntouyas, S K ^b  

^a UNIVERSITY OF SIDI BEL ABBES   (Algeria)

^b UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Fixed point; Initial value problems; Mild solution; Nonlocal condition; Semiinfinite interval

Indexed keywords

EID: 0007219174     PISSN: 00102628     EISSN: 12137243     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. Balachandran K., Ilamaran S Existence and uniqueness of mild solutions of a semilinear evolution equation with nonlocal conditions, Indian J. Pure Appl. Math. 25 (1994), 411-418
2. Balachandran K., Chandrasekaran M Existence of solutions of nonlinear integrodifferen-tial equation with nonlocal conditions, J. Appl. Math. Stoch. Anal. 10 (1996), 279-288
3. Balachandran K., Chandrasekaran M Nonlocal Cauchy problem for quasilinear integrod-ifferential equation in Banach spaces, Dynam. Systems Appl. 8 (1999), 35-44
4. Balachandran K., Chandrasekaran M Existence of solutions of a delay differential equation with nonlocal condition, Indian J. Pure Appl. Math. 27 (1996), 443-449
5. Byszewski L Existence and uniqueness of solutions of semilinear evolution nonlocal Cauc-hy problem, Zeszyty Nauk. Politech. Rzeszowskiej Mat. Fiz. 18 (1993), 109-112
6. Byszewski L Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem, J. Math. Anal. Appl. 162 (1991), 494-505
7. Corduneanu C Integral Equations and Applications, Cambridge Univ. Press, New York, 1990
8. Dauer J.P., Balachandran K Existence of solutions for an integrodifferential equation with nonlocal condition in Banach spaces, Libertas Math. 16 (1996), 133-143
9. Dugundji J., Granas A Fixed Point Theory, Monografie Mat., PWN, Warsaw, 1982
10. Goldstein J.A Semigroups of Linear Operators and Applications, Oxford, New York, 1985
11. Ntouyas S.K., Tsamatos P.Ch Global existence for semilinear evolution equations with nonlocal conditions, J. Math. Anal. Appl. 210 (1997), 679-687
12. Ntouyas S.K., Tsamatos P.Ch Global existence for semilinear evolution integrodifferential equations with delay and nonlocal conditions, Appl. Anal. 64 (1997), 99-105
13. Yosida K Functional Analysis, Springer-Verlag, Berlin, 1980