Three methods for the study of the solvability of semilinear equations with noninvertible linear parts are compared: the alternative method, the continuation method of Mawhin and a new perturbation method [22]-[27]. Some extension of the last method and applications to differential equations in Banach spaces are presented.
@article{bwmeta1.element.bwnjournal-article-cmv66i1p109bwm,
author = {Bogdan Przeradzki},
title = {Three methods for the study of semilinear equations at resonance},
journal = {Colloquium Mathematicae},
volume = {66},
year = {1993},
pages = {109-12},
zbl = {0828.47054},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv66i1p109bwm}
}
Przeradzki, Bogdan. Three methods for the study of semilinear equations at resonance. Colloquium Mathematicae, Tome 66 (1993) pp. 109-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv66i1p109bwm/
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