Enclosing solutions of second order equations
Gerd Herzog, Roland Lemmert (2005)
Annales Polonici Mathematici
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We apply Max Müller's Theorem to second order equations u'' = f(t,u,u') to obtain solutions between given functions v,w.
Gerd Herzog, Roland Lemmert (2005)
Annales Polonici Mathematici
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We apply Max Müller's Theorem to second order equations u'' = f(t,u,u') to obtain solutions between given functions v,w.
Gang Yu (2005)
Colloquium Mathematicae
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A positive integer n is called E-symmetric if there exists a positive integer m such that |m-n| = (ϕ(m),ϕ(n)), and n is called E-asymmetric if it is not E-symmetric. We show that there are infinitely many E-symmetric and E-asymmetric primes.
P. Kostyrko (1972)
Colloquium Mathematicae
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N. K. Kundu (1974)
Annales Polonici Mathematici
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Jiří Matoušek (1989)
Colloquium Mathematicae
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Libicka, Inga, Łazarow, Ewa, Szkopińska, Bożena (2015-12-08T09:08:27Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Jaskuła, Janusz, Szkopińska, Bożena (2015-12-15T14:49:03Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Dornstetter, J.L., Krob, D., Thibon, J.Y., Vassilieva, E.A. (2002)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Boris Bukh (2008)
Acta Arithmetica
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Bartosz Kołodziejek (2013)
Studia Mathematica
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We prove the Lukacs characterization of the Wishart distribution on non-octonion symmetric cones of rank greater than 2. We weaken the smoothness assumptions in the version of the Lukacs theorem of [Bobecka-Wesołowski, Studia Math. 152 (2002), 147-160]. The main tool is a new solution of the Olkin-Baker functional equation on symmetric cones, under the assumption of continuity of respective functions. It was possible thanks to the use of Gleason's theorem.
N. K. Kundu (1973)
Colloquium Mathematicae
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Popa, Sorin (1999)
Documenta Mathematica
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Michael J. Evans (1974)
Colloquium Mathematicae
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M. C. Chaki, K. K. Sharma (1976)
Colloquium Mathematicae
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J.R. Bunch, C.P. Nielsen, D.C. Sorensen (1978/79)
Numerische Mathematik
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In-Jae Kim, Charles Waters (2010)
Czechoslovak Mathematical Journal
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The inertia of an by symmetric sign pattern is called maximal when it is not a proper subset of the inertia of another symmetric sign pattern of order . In this note we classify all the maximal inertias for symmetric sign patterns of order , and identify symmetric sign patterns with maximal inertias by using a rank-one perturbation.
Piotr Biler (2008)
Banach Center Publications
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The existence, uniqueness and large time behaviour of radially symmetric solutions to a chemotaxis system in the plane ℝ² are studied for the (supercritical) value of mass greater than 8π.
Mark van Hoeij (2002)
Banach Center Publications
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Let L(y) = 0 be a linear differential equation with rational functions as coefficients. To solve L(y) = 0 it is very helpful if the problem could be reduced to solving linear differential equations of lower order. One way is to compute a factorization of L, if L is reducible. Another way is to see if an operator L of order greater than 2 is a symmetric power of a second order operator. Maple contains implementations for both of these. The next step would be to see if L is a symmetric...