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On a Generalization of Blaschke’s Rolling Theorem and the Smoothing of Surfaces
Blaschke’s Rolling Theorem generalized convexity
2015/8/20
A generalization of Blaschke’s Rolling Theorem for not necessarily convex sets is proved that exhibits an
intimate connection between a generalized notion of convexity, various concepts in mathematic...
A generalization of Marstrand's theorem for projections of cartesian products
Marstrand's theorem cartesian products Classical Analysis and ODEs
2011/8/23
Abstract: We prove the following variant of Marstrand's theorem about projections of cartesian products of sets:
Let $K_1,...,K_n$ Borel subsets of $\mathbb R^{m_1},... ,\mathbb R^{m_n}$ respectivel...
A generalization of Osgood's test and a comparison criterion for integral equations with noise
Osgood’s test comparison criterion time of explosion
2011/1/19
In this work, we prove a generalization of Osgood’s test for the ex-plosion of the solutions of initial-value problems. We also establish a comparison criterion for the solution of integral equations ...
Generalization of an Impulsive Nonlinear Singular Gronwall-Bihari Inequality with Delay
Gronwall-Bihari inequality Nonlinear Impulsive
2010/1/22
This paper generalizes a Tatar's result of an impulsive nonlinear singular Gronwall-Bihari inequality with delay [J. Inequal. Appl., 2006(2006), 1-12] to a new type of inequalities which includes n di...