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Title: Existence theorems for nonlinear operator equation $Lu+Nu=f$ and some properties of the set of its solutions (English)
Author: Rudolf, Boris
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 42
Issue: 1
Year: 1992
Pages: 55-63
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Category: math
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MSC: 34B15
MSC: 47J05
idZBL: Zbl 0744.34025
idMR: MR1159491
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Date available: 2009-09-25T10:35:28Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/132764
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Reference: [1] CESARI L.: Functional analysis and Galerkin's method.Michigan Math. J. 11 (1964), 385-414. Zbl 0192.23702, MR 0173839
Reference: [2] FUČÍK S., KUFNER A.: Nelineární diferenciální rovnice.SNTL, Praha, 1978. Zbl 0474.35001
Reference: [3] GREGUŠ M., ŠVEC M., ŠEDA V.: Obyčajné diferenciálné rovnice.Alfa, Bratislava, 1985.
Reference: [4] KODDINGTON E. A., LEVINSON N.: Teorija obyknovennych differencial'nych uravnenij.Izdat. Inostr. lit., Moskva, 1958.
Reference: [5] MAWHIN J.: Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces.J .Differential Equations 12 (1972), 610-636. Zbl 0244.47049, MR 0328703
Reference: [6] TAYLOR A. E.: Úvod do funkcionální analysy.Academia, Praha, 1973.
Reference: [7] WARD J. R.: Existence theorems for nonlinear boundary value problems at resonance.J. Differential Equations 35 (1980), 232-247. Zbl 0447.34015, MR 0561979
Reference: [8] ZEIDLER E.: Vorlesungen über nichtlineare Funktionalanalysis I.Teubner Verlag, Leipzig, 1976. Zbl 0326.47053, MR 0628004
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