A note on differential and integral equations in locally convex spaces
Archivum mathematicum, Tome 36 (2000) no. 5, pp. 415-420 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Bugajewska, Daria; Bugajewski, Dariusz. A note on differential and integral equations in locally convex spaces. Archivum mathematicum, Tome 36 (2000) no. 5, pp. 415-420. http://geodesic.mathdoc.fr/item/ARM_2000_36_5_a6/

1. Astala K.: On Peano’s theorem in locally convex spaces. Studia Math., 73, 1982, 213-223. | MR | Zbl

2. Bugajewska D.: Topological properties of solution sets of some problems for differential equations. Ph. D. Thesis, Poznań, 1999.

3. Bugajewska D., Bugajewski D.: On topological properties of solution sets for differential equations in locally convex spaces. submitted. | Zbl

4. Bugajewski D.: On the Volterra integral equation in locally convex spaces. Demonstratio Math., 25, 1992, 747-754. | MR | Zbl

5. Bugajewski D.: On differential and integral equations in locally convex spaces. Demonstratio Math., 28, 1995, 961-966. | MR | Zbl

6. Bugajewski D., Szufla S.: Kneser’s theorem for weak solutions of the Darboux problem in Banach spaces. Nonlinear Analysis, 20, No 2, 1993, 169-173. | MR

7. Constantin A.: On the unicity of solution for the differential equation $x^{(n)} = f (t, x)$. Rend. Circ. Mat. Palermo, Serie II, 42, 1991, 59-64. | MR

8. Hukuhara M.: Théorems fondamentaux de la théorie des équations différentielles ordinaires dans l’espace vectorial topologique. J. Fac. Sci. Univ. Tokyo, Sec. I, 8, No 1, 1959, 111-138. | MR

9. Januszewski J., Szufla S.: On the Urysohn integral equation in locally convex spaces. Publ. Inst. Math., 51, No 65, 1992, 77-80. | MR

10. Kelley J.L., Namioka I.: Linear topological spaces. Van Nostrand, Princeton, 1963. | MR | Zbl

11. Krasnoselski M.A., Krein S.G.: K teorii obyknoviennych differencialnych uravnienij v banachovych prostranstvach. Trudy Semin. Funkc. Anal. Voronež. Univ., 2, 1956, 3-23.

12. Lemmert R.: On ordinary differential equations in locally convex spaces. Nonlinear Analysis, 10, No 12, 1986, 1385-1390. | MR | Zbl

13. Millionščikov W.: K teorii obyknoviennych differencialnych uravnienij v lokalno vypuklych prostranstvach. Dokl. Akad. Nauk SSSR, 131, 1960, 510-513.

14. Pianigiani P.: Existence of solutions of an ordinary differential equations in the case of Banach space. Bull. Ac. Polon.: Math., 8, 1976,667-673.

15. Reichert M.: Condensing Volterra operators in locally convex spaces. Analysis, 16, 1996, 347-364. | MR | Zbl

16. Sadovski B. N.: Limit-compact and condensing mappings. Russian Math. Surveys, 27, 1972, 81-146. | MR

17. Szufla S.: Kneser’s theorem for weak solutions of ordinary differential equations in reflexive Banach spaces. Bull. Acad. Polon.: Math., 26, 1978, 407-413. | MR

18. Szufla S.: On the Kneser-Hukuhara property for integral equations in locally convex spaces. Bull. Austral. Math. Soc., 36, 1987, 353-360. | MR