An application of a fixed point principle of Sadovskij to differential equations on the real line
Bogdan Rzepecki (1985)
Commentationes Mathematicae Universitatis Carolinae
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Bogdan Rzepecki (1985)
Commentationes Mathematicae Universitatis Carolinae
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Józef Banaś (1980)
Commentationes Mathematicae Universitatis Carolinae
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Bogdan Rzepecki (1980)
Annales Polonici Mathematici
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Mieczysław Cichoń (1994)
Mathematica Bohemica
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The existence of bounded solutions for equations in Banach spaces is proved. We assume that the linear part is trichotomic and the perturbation satisfies some conditions expressed in terms of measures of noncompactness.