Theorem on the union of two topologically flat cells of codimension 1 in .
Chernavsky, A.V. (2006)
Abstract and Applied Analysis
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Theorem on the union of two topologically flat cells of codimension 1 in .
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We shall consider periodic problems for ordinary differential equations of the form where satisfies suitable assumptions. To study the above problem we shall follow an approach based on the topological degree theory. Roughly speaking, if on some ball of , the topological degree of, associated to (), multivalued Poincaré operator turns out to be different from zero, then problem () has solutions. Next by using the multivalued version of the classical Liapunov-Krasnoselskǐ guiding...
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