On the connectedness of the set of fixed points of a compact operator in the Fréchet space $C^m(\langle b,\infty ),{𝐑}^n)$

 Access to full text

 Full (PDF)

1. Mery nekompaktnosti i uplotnyayushchie operatory, Nauka, Novosibirsk, 1986. (1986) 
2. 10.2307/1968963, Annals of Mathematics 43 (1942), 730–738. (1942) MR0007195DOI10.2307/1968963
3. Generalization of a certain theorem of N. Aroszajn and its application in the theory of functional differential equations, Manuscript. (Slovak) 
4. 10.1016/0022-247X(69)90162-0, Math. Anal. Appl. 26 (1969), 390–402. (1969) MR0257826DOI10.1016/0022-247X(69)90162-0
5. 10.1016/0022-247X(91)90077-D, J. Math. Anal. Appl. 54 (1991), 151–163. (1991) MR1087965DOI10.1016/0022-247X(91)90077-D
6. Nichtlineare Gleichungen und Abbildungsgrade, Springer–Verlag, Berlin Heidelberg New York, 1974. (1974) Zbl0281.47033MR0500322
7. Sur une généralization d’un thèoreme de Kneser, Proc. Japan Acad. 29 (154–155). (154–155) MR0060084
8. O sushchestvovanii resheni u nekotorykh nelinenykh operatornykh uravneni, Doklady AN SSSR 126 (1959), 15–18. (1959) MR0106421
9. Geometricheskie metody nelinenogo analiza, Nauka, Moskva, 1975. (1975) MR0500310
10. A generalization of N. Aronszajn’s theorem on connectedness of the fixed point set of a compact mapping, Czechoslovak Math. J. 37 (112) (1987), 415–423. (1987) MR0904769
11. Topologie, Volume II, Pol. Tow. Mat., Warszawa, 1952. (1952) 
12. Topological properties of the set of global solutions for a class of semilinear evolution equations in a Banach space. Atti del Convegno celebrativo del $1^0$ centenario del Circolo Matematico di Palermo, Suppl. di Rendiconti del Circolo Matematico di Palermo, Serio II 8 (1985), 379–397. (1985) MR0881416
13. Predelno kompaktnye i uplotnyayushchie operatory, Uspekhi mat. nauk 27:1 (1972), 81–146. (1972) 
14. Le transformazioni che presentano il fenomeno di Peano, Rend. Accad. Naz Lincei 7 (1949), 80–84. (1949) MR0033448
15. 10.4064/ap-34-2-165-177, Ann. Polon. Math XXXIV (1977), 165–177. (1977) MR0463608DOI10.4064/ap-34-2-165-177
16. On Volterra integral equations in Banach spaces, Funkcialaj Ekvacioj 20 (1977), 247–258. (1977) Zbl0379.45025MR0511230
17. Sets of fixed points of nonlinear mappings in function spaces, Funkcialaj Ekvacioj 22 (1979), 121–126. (1979) Zbl0419.47025MR0551256
18. On the existence of $L^p$-solutions of Volterra integral equations in Banach spaces, Funkcialaj Ekvacioj 27 (1984), 157–172. (1984) MR0775204
19. 10.1016/0022-247X(71)90100-4, J. Math. Anal. Appl. 34 (1971), 602–617. (1971) MR0283645DOI10.1016/0022-247X(71)90100-4
20. Vorlesungen über nichtlineare Funktionalanalysis I — Fixpunktsätze, Teubner Verlagsgesellschaft, Leipzig, 1976. (1976) Zbl0326.47053MR0473927

1. Daria Bugajewska, On the structure of solution sets of differential equations in Banach spaces
2. Zbyněk Kubáček, On the structure of the solution set of a functional-differential system on an unbounded interval
3. Mária Kečkemétyová, On the structure of the set of solutions of nonlinear boundary value problems for ODEs on unbounded intervals
4. Valter Šeda, On condensing discrete dynamical systems
5. Boris Rudolf, Zbyněk Kubáček, Professor Šeda, septuagenerian