A note on variational discretization of elliptic Neumann boundary control
Michael Hinze, Ulrich Matthes (2009)
Control and Cybernetics
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Michael Hinze, Ulrich Matthes (2009)
Control and Cybernetics
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N. Saradha (1997)
Journal de théorie des nombres de Bordeaux
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Let be a monic polynomial which is a power of a polynomial of degree and having simple real roots. For given positive integers with and gcd with whenever , we show that the equation with for has only finitely many solutions in integers and except in the case
Pietro Zamboni (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Stefan Czekalski (2013)
Annales mathématiques Blaise Pascal
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It is shown, that the function
R. Ramírez, N. Sadovskaia (1996)
Collectanea Mathematica
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The aim of this paper is to construct the analytic vector fields with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.
S. Peter Farbman (1995)
Publicacions Matemàtiques
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The question of whether two parabolic elements A, B of SL(C) are a free basis for the group they generate is considered. Some known results are generalized, using the parameter τ = tr(AB) - 2. If τ = a/b ∈ Q, |τ| < 4, and |a| ≤ 16, then the group is not free. If the subgroup generated by b in Z / aZ has a set of representatives, each of which divides one of b ± 1, then the subgroup of SL(C) will not be free.
L. Carlitz (1965)
Collectanea Mathematica
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П.А. Алексеев, М.И. Голованов, P. A. Alekseev, M. I. Golovanov, P. A. Alekseev, M. I. Golovanov, P. A. Alekseev, M. I. Golovanov (1997)
Algebra i Logika
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Enrico Bombieri (1971-1972)
Séminaire Bourbaki
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M. Bouchekif (1994)
Publicacions Matemàtiques
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In this paper, we obtain some existence theorems of nonnegative solutions with compact support for homogeneous Dirichlet elliptic problems; we also extend these results to parabolis systems. Supersolution and comparison principles are our main ingredients.
Shigeki Akiyama, Jörg M. Thuswaldner (2000)
Journal de théorie des nombres de Bordeaux
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In the two dimensional real vector space one can define analogs of the well-known -adic number systems. In these number systems a matrix plays the role of the base number . In the present paper we study the so-called fundamental domain of such number systems. This is the set of all elements of having zero integer part in their “-adic” representation. It was proved by Kátai and Környei, that is a compact set and certain translates of it form a tiling of the . We construct...
Józef H. Przytycki (1983)
Collectanea Mathematica
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