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Displaying similar documents to “On the structure of solution sets of differential equations in Banach spaces”

Trichotomy and bounded solutions of nonlinear differential equations

Mieczysław Cichoń (1994)

Mathematica Bohemica

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The existence of bounded solutions for equations x ' = A ( t ) x + f ( t , x ) in Banach spaces is proved. We assume that the linear part is trichotomic and the perturbation f satisfies some conditions expressed in terms of measures of noncompactness.