Abstract
In this chapter, we shall study initial value problems in their various aspects: uniqueness, existence, domain of definition of the solutions and qualitative properties of the solutions. We shall assume that the functions that appear on the right side of the equations belong to a special class of continuous functions, the Lipschitz functions. This restriction allows us to treat the questions at hand with a remarkable ease.
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Piccinini, L.C., Stampacchia, G., Vidossich, G. (1984). Existence and Uniqueness for the Initial Value Problem Under the Hypothesis of Lipschitz. In: Ordinary Differential Equations in Rn . Applied Mathematical Sciences, vol 39. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5188-0_1
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DOI: https://doi.org/10.1007/978-1-4612-5188-0_1
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