Vol. 69, No. 2, 1977

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The extendability and uniqueness of solutions of ordinary differential equations

Stephen Richard Bernfeld

Vol. 69 (1977), No. 2, 307–315

The extendability of solutions of ordinary differential equations is a fundamental and important property since the analysis of stability and boundedness of solutions requires extendability. This paper is concerned with the preservation of the extendability and uniqueness of solutions under perturbations. In particular conditions on the right hand side of = f(x) + h(t) are exhibited which guarantee the extendability of solutions whenever the solutions of the unperturbed equation = f(x) extend.

Mathematical Subject Classification
Primary: 34A15, 34A15
Received: 4 November 1976
Published: 1 April 1977
Stephen Richard Bernfeld