Locally Lipschitzian Guiding Function Method for ODEs
نویسنده
چکیده
by generalizing the well known guiding function method. Such an approach can be found in several works, however, under some heavier assumptions. For example, in [M] f is assumed to be locally lipschitzian and the guiding function to be C. In [GP] f needs to be of the Caratheodory type only, while the corresponding guiding function must be still C. In fact, in [GP] the more general, multivalued problem{ x′(t) ∈ φ(t, x(t)) x(0) = x(T ). (1′)
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