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A novel shifted Vieta-Lucas spectral collocation approach for multidimensional generalized Benjamin-Bona-Mahony-Burgers equations. [PDF]

Sci Rep
Hafez RM, Ahmed HM, Alburaikan A, Alrajeh MAA, Khalifa HAE.   +4 more
europepmc   +1 more source

Nonlinear dynamics and stability of a delayed leukemia model with real-world applications. [PDF]

Sci Rep
Raza A, Alsulami M, Rocha EM, Lampart M, Sumelka W, Alruwaili F.   +5 more
europepmc   +1 more source

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Functions of Bounded Variation�and Rearrangements

Archive for Rational Mechanics and Analysis, 2002
The authors study the properties of the symmetric rearrangement \(u^*\) of a function \(u\) when \(u\) is of bounded variation in \({\mathbb R}^n\). Among these properties, the continuity and the approximate differentiability of \(u^*\) on the level sets \(\{u^*=t\}\) is investigated.
Andrea Cianchi, Nicola Fusco, Cianchi Andrea   +2 more
exaly   +5 more sources

Omniscience Principles and Functions of Bounded Variation

Mathematical Logic Quarterly, 2002
Omniscience principles are general statements that can be proved classically but not constructively. They are used to show that other, more subject-specific statements that imply some omniscience principle do not have a constructive proof. The strongest omniscience principle is the law of excluded middle itself.
Fred Richman
exaly   +3 more sources

Functions of bounded variation and polarization

Mathematische Nachrichten, 2009
AbstractIt is known that, ifuis a real valued function on ℝNof bounded variation, then its total variation decreases under polarization. In this paper we identify the difference between the total variation ofuand that one of its polaruΠ(© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ALBERICO A, FERONE, Adele, VOLPICELLI R.
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Functions of bounded variation and the AM-modulus in Rn [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2018
Moduli of path families are widely used to study Sobolev functions. Similarly, the recently introduced approximation (AM-) modulus is helpful in the theory of functions of bounded variation (BV) in R-n (Martio, 2016).
Jan Malý, Olli Martio
exaly   +3 more sources

Functionals of Bounded Frechet Variation

Canadian Journal of Mathematics, 1949
In a series of papers which will follow this paper the authors will present a theory of functionals which are bilinear over a product A × B of two normed vector spaces A and B. This theory will include a representation theory, a variational theory, and a spectral theory.
Morse, Marston, Transue, William
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