A useful proposition to nonlinear differential systems with a solution of the prescribed asymptotic properties. (English) Zbl 0641.34036

Author’s summary: A proposition allowing the study of general differential systems with respect to the existence of their solutions having prescribed properties is given. This problem is transformed to the one of a priori estimates of solutions to some sequence of boundary value problems and the oddness of the normed operator of the right-hand sides, when using the modified Krasnosel’skij lemma and the topological degree argument.
Reviewer: J.Andres


34C11 Growth and boundedness of solutions to ordinary differential equations
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