Surjectivity results for nonlinear mappings without oddness conditions
Feng, W. ; Webb, Jeffrey Ronald Leslie
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 15-28 / Harvested from Czech Digital Mathematics Library
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Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form ${\lambda} T(x)-S(x)=f$, where $T$ is invertible, and $T,S$ satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fu\v{c}'{\i}k, Ne\v{c}as, Sou\v{c}ek, and Sou\v{c}ek. We employ the concept of an $a$-{stably-solvable} operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently studied by Gupta, Ntouyas and Tsamatos.

Publié le : 1997-01-01
Classification:  34B10,  34B15,  47H12,  47H15,  47J05,  47J10,  47N20 
@article{118899,
     author = {W. Feng and Jeffrey Ronald Leslie Webb},
     title = {Surjectivity results for nonlinear mappings without oddness conditions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {15-28},
     zbl = {0886.47034},
     mrnumber = {1455467},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118899}
}

Feng, W.; Webb, Jeffrey Ronald Leslie. Surjectivity results for nonlinear mappings without oddness conditions. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 15-28. http://gdmltest.u-ga.fr/item/118899/

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