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- W2070486802 abstract "IN THE present paper we consider a nonlinear System of differential equations (.) x’ = A(t, x)x + F(t, x) and a condition (. .) x E B, x(t) $ 0. where A(t, x) is a n x n real matrix defined and continuous on A x R” (A denotes a compact interval of R), F : A x R” + R” is continuous and B is a Banach space of continuous functions. To solve this problem, we use a comparison technique and we reduce the existence of solutions for this problem to that of a fixed point of a suitably defined multivalued map S (see also Anichini [l], Kartsatos [3] and Schmitt [4]). In these papers the Eilenberg-Montgomery futed point theorem is applied. First we consider the problem (. . .) x’ = A(& x)x and the condition (..). Using the Eilenberg-Montgomery Theorem 3.1 of [3]. fixed point theorem, we improve" @default.
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- W2070486802 date "1982-05-01" @default.
- W2070486802 modified "2023-09-27" @default.
- W2070486802 title "Nonzero solutions of nonlinear systems of differential equations via fixed point theorems for multivalued maps" @default.
- W2070486802 cites W2014234860 @default.
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- W2070486802 doi "https://doi.org/10.1016/0362-546x(82)90056-6" @default.
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