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We have recently introduced a generalized condition for thermal runaway or parametric sensitivity.
To do this, we first observe a class of not necessarily bounded operators satisfying a generalized condition ((S_)) with respect to T that contains abstract Hammerstein operators; see Lemma 2.3 below.
In Section 3, we prove that a topological degree for demicontinuous operators satisfying a generalized condition ((S_)) with respect to T is well defined and satisfies some of fundamental properties.
Based on the Berkovits degree in [11], we introduce a topological degree for a wider class of demicontinuous operators satisfying a generalized condition ((S_)) with respect to T. For the case of unbounded operators of class ((S_)), we refer to [9].
Furthermore, there is evidence that epigenetic gene silencing in cancer is not a localized event affecting discrete genes, but a generalized condition that spans broad chromosomal regions [ 36].
The prevalence of joint hypermobility syndrome (JHS), formerly called benign JHS, is associated with a generalized condition where individuals have lax joints (e.g., "double jointed") and is ~5 times more common in females than in males.
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This independence is emphasized by proposing a new generalized condition for parametric sensitivity.
Based on a generalized Lipschitz condition, the sufficient conditions to ensure the stability of observer error dynamics are presented in terms of some LMIs.
This analysis leads to a natural boundary condition at the bottom, which is a special case of a generalized entropy condition for the type of partial differential equation under consideration.
Recently, Ćirić and Ume [20] defined a wide class of multivalued nonself mappings which satisfy a generalized contraction condition and proved a fixed point theorem which generalize the results of Itoh [21] and Khan [22].
Recently, Ćirić and Ume [49] defined a wide class of multi-valued non-self-mappings which satisfy a generalized contraction condition and proved a fixed point theorem which generalizes the results of Itoh [50] and Khan [51].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com