Recognizing right-left equivalence locally
Takashi Nishimura (1999)
Banach Center Publications
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Takashi Nishimura (1999)
Banach Center Publications
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Mormul, Piotr (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Piotr Jaworski (2000)
Annales Polonici Mathematici
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It is well known that versal deformations of nonsimple singularities depend on moduli. However they can be topologically trivial along some or all of them. The first step in the investigation of this phenomenon is to determine the versal discriminant (unstable locus), which roughly speaking is the obstacle to analytic triviality. The next one is to construct continuous liftable vector fields smooth far from the versal discriminant and to integrate them. In this paper we extend the results...
Yuri Egorov (1992)
Banach Center Publications
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Christer O. Kiselman (1994)
Annales Polonici Mathematici
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We study the singularities of plurisubharmonic functions using methods from convexity theory. Analyticity theorems for a refined Lelong number are proved.
Paweł Wójcik, Michail A. Sheshko, Dorota Pylak, Paweł Karczmarek (2012)
Annales UMCS, Mathematica
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In the present paper, we give the exact solutions of a singular equation with logarithmic singularities in two classes of functions and construct formulae for the approximate solutions.
Shyuichi Izumiya (1993)
Colloquium Mathematicae
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A characterization of systems of first order differential equations with (classical) complete solutions is given. Systems with (classical) complete solutions that consist of hyperplanes are also characterized.
Véron, Laurent (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Borzellino, Joseph E., Brunsden, Victor (2003)
Journal of Lie Theory
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J. Chądzyński, T. Krasiński (1995)
Annales Polonici Mathematici
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An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.
Tadeusz Poreda
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CONTENTSIntroduction . . . . . . . . 5I. Fundamental problems for generalized differential equations at nonsingular points§1. Introduction . . . . . . . . 6§2. Cauchy problem at nonsingular points for generalized differential equations of the first order . . . . . . . . 6§3. Dependence of solution on parameters and initial conditions . . . . . . . . 8II. Total solutions of generalized linear differential equations§1. Introduction . . . . . . . . 11§2. Form of solutions of generalized...
Al-Banawi, Kamal, Carter, Sheila (2005)
Beiträge zur Algebra und Geometrie
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