| Title:
|
Existence results on the semiinfinite interval for first and second order integrodifferential equations in Banach spaces with nonlocal conditions (English) |
| Author:
|
Benchohra, Mouffak |
| Author:
|
Ntouyas, Sotiris K. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
13-19 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34K30 |
| MSC:
|
35R10 |
| MSC:
|
45G10 |
| MSC:
|
45J05 |
| MSC:
|
45N05 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1042.45006 |
| idMR:
|
MR1967335 |
| . |
| Date available:
|
2009-01-29T16:02:01Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120450 |
| . |
| Reference:
|
[1] Benchohra M., Ntouyas S. K.: Existence of mild solutions on semiinfinite intervаl for first order differentiаl equаtions with nonlocаl conditions.Comment. Math. Univ. Carolin. 41 (2000), 485-491. MR 1795080 |
| Reference:
|
[2] Benchohra M., Ntouyas S. K.: Existence of mild solutions on semiinfinite intervаl for second order differentiаl equаtions with nonlocаl conditions.Comment. Math. Prace Mat. 16 (2001), 41-49. MR 1876709 |
| Reference:
|
[3] Byszewski L.: Theorems аbout the existence аnd uniqueness of solutions of а semilineаr evolution nonlocаl Cаuchy problem.J. Math. Anal. Appl. 162 (1991), 494-505. MR 1137634 |
| Reference:
|
[4] Corduneanu C.: Integral Equations and Applications.Cаmbridge Univ. Press, New York, 1990. MR 1109491 |
| Reference:
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[5] Dugundji J., Granas A.: Fixed Point Theory.Monogrаfie Mаt. PWN, Wаrsаw, 1982. Zbl 0483.47038, MR 0660439 |
| Reference:
|
[6] Fattorini H. O.: Second order linear differential equations in Banach spaces.North-Hollаnd Mаthemаticаl Studies, Vol. 108, North-Hollаnd, Amsterdаm, 1985. Zbl 0564.34063, MR 0797071 |
| Reference:
|
[7] Ghisi M.: Mild solutions of evolution equаtions аnd meаsures of noncompаctness.Nonlinear Anal. 26, 7 (1996), 1193-1205. MR 1376098 |
| Reference:
|
[8] Goldstein J. A.: Semigroups of Linear Operators and Applications.Oxford, New York, 1985. Zbl 0592.47034, MR 0790497 |
| Reference:
|
[9] Heikkila S., Lakshmikantham V.: Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations.Mаrcel Dekker, New York, 1994. MR 1280028 |
| Reference:
|
[10] Heikkila S., Lakshmikantham V.: On mild solutions of first order discontinuous semilineаr differentiаl equаtions in Bаnаch Spаces.Applic. Anal. 56, 1-2 (1995), 131-146. MR 1378017 |
| Reference:
|
[11] Ladas G., Lakshmikantham V.: Differential Equatiоns in Abstract Spaces.Acаdemic Press, New York, London, 1972. |
| Reference:
|
[12] Lakshmikantham V., Leela S.: Existence аnd monotone rnethod for periodic solutions of first order differentiаl equаtions.J. Math. Anal. Appl. 91 (1983), 237-243. MR 0688542 |
| Reference:
|
[13] Pazy A.: Semigrоups оf Linear Operatоrs and Applicatiоns tо Partial Differential Equatiоns.Springer-Verlаg, New York, 1983. MR 0710486 |
| Reference:
|
[14] Travis C. C., Webb G. F.: Second order differentiаl equаtions in Bаnаch spаces.Prоc. Int. Symp. оn Nоnlinear Equatiоns in Abstract Spaces, Academic Press, New Yоrk (1978), 331-361. MR 0502551 |
| Reference:
|
[15] Travis C. C., Webb G. F.: Cosine fаmilies аnd аbstrаct nonlineаr second order differentiаl equаtions.Acta Math. Hungar. 32 (1978), 75-96. MR 0499581 |
| Reference:
|
[16] Yоsida K.: Functiоnal Analysis.бth edn. Springer-Verlаg, Berlin, 1980. |
| . |
