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Upper and lower bounds for solutions of generalized two-point boundary value problems

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Abstract

This paper is concerned with two-point boundary value problems for systems of differential equations and integro-differential equations. If ϕ, ψ and Φ, Ψ are functions which satisfy certain differential (integro-differential) inequalities, then the given problem has a solutionu * such that ϕ≦u *≦ψ and Φ≦u *′≦Ψ.

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  1. Mathematisches Institut der Universität Köln, Weyertal 86-90, D-5000, Köln 41, Bundesrepublik Deutschland

    Johann Schröder

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  1. Johann Schröder
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Schröder, J. Upper and lower bounds for solutions of generalized two-point boundary value problems. Numer. Math. 23, 433–457 (1975). https://doi.org/10.1007/BF01437041

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