Bernstein inequalities and applications to analytic geometry and differential equations

From MaRDI portal
Publication:1355463

DOI10.1006/jfan.1996.3029zbMath0869.34008OpenAlexW2037119822MaRDI QIDQ1355463

Yosef Yomdin, Jean-Pierre Françoise

Publication date: 23 June 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3029



Related Items

The cyclicity of a cubic system with nonradical Bautin ideal, Algebraic families of analytic functions. I, Bernstein classes, Iterated integrals, Gelfand-Leray residue, and first return mapping, Bernstein-Remez inequality for algebraic functions: a topological approach, Taylor Domination, Difference Equations, and Bautin Ideals, Poincaré-Andronov-Hopf bifurcation and the local Hilbert's 16th problem, Marked length spectral determination of analytic chaotic billiards with axial symmetries, Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation, The center conditions for a Liénard system, Center conditions and cyclicity for a family of cubic systems: computer algebra approach, Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations, The reduced Bautin index of planar vector fields, Exponential Taylor Domination, Transcendence measures and algebraic growth of entire functions, Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class, Oscillation of analytic curves, Graphs of zeros of analytic families, Analytic reparametrization of semi-algebraic sets, Estimating the number of limit cycles in polynomial systems, Melnikov functions and Bautin ideal, Extension of Bautin theory to any dimension, A question of divisibility of an analytic germ by a polynomial, Center conditions at infinity for Abel differential equations, Hilbert’s 16th problem on a period annulus and Nash space of arcs, Center problem and \(\nu \)-cyclicity of polynomial zero-Hopf singularities with non-singular rotation axis, Centers and Limit Cycles of a Generalized Cubic Riccati System, The Cyclicity of a Cubic System, Perturbation theory of the quadratic Lotka–Volterra double center, Remez-type inequality on sets with cusps



Cites Work