Generic properties of the Nicoletti and Floquet boundary value problems
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- by Dariusz Bielawski
- Proc. Amer. Math. Soc. 120 (1994), 831-841
- DOI: https://doi.org/10.1090/S0002-9939-1994-1195712-6
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Abstract:
The existence of solutions and the existence and uniqueness of solutions are considered as generic properties of an abstract boundary value problem. Applications to the Nicoletti and the Floquet boundary value problems are given.References
- Dariusz Bielawski and Tadeusz Pruszko, On the structure of the set of solutions of a functional equation with applications to boundary value problems, Ann. Polon. Math. 53 (1991), no. 3, 201–209. MR 1109588, DOI 10.4064/ap-53-3-201-209
- James Dugundji and Andrzej Granas, Fixed point theory. I, Monografie Matematyczne [Mathematical Monographs], vol. 61, Państwowe Wydawnictwo Naukowe (PWN), Warsaw, 1982. MR 660439
- Stanisław Kasprzyk and Józef Myjak, On the existence of solutions of the Floquet problem for ordinary differential equations, Zeszyty Nauk. Uniw. Jagielloń. Prace Mat. 13 (1969), 35–39. MR 247172
- A. Lasota and C. Olech, An optimal solution of Nicoletti’s boundary value problem, Ann. Polon. Math. 18 (1966), 131–139. MR 204742, DOI 10.4064/ap-18-2-131-139
- A. Lasota and Z. Opial, On the existence and uniqueness of solutions of nonlinear functional equations, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 15 (1967), 797–800 (English, with Russian summary). MR 236784
- Józef Myjak, Orlicz type category theorems for functional and differential equations, Dissertationes Math. (Rozprawy Mat.) 206 (1983), 81. MR 695219
- Tadeusz Pruszko, Some applications of the topological degree theory to multivalued boundary value problems, Dissertationes Math. (Rozprawy Mat.) 229 (1984), 48. MR 741752
Bibliographic Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 831-841
- MSC: Primary 47H15; Secondary 34B15, 47N20
- DOI: https://doi.org/10.1090/S0002-9939-1994-1195712-6
- MathSciNet review: 1195712