Functions de variable réelle

DOI10.1007/978-3-540-34038-6zbMath1108.26003OpenAlexW3167236004MaRDI QIDQ3412592

N. Bourbaki

Publication date: 28 December 2006

Full work available at URL: https://doi.org/10.1007/978-3-540-34038-6

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Isomorphic theory (including renorming) of Banach spaces (46B03) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Linear ordinary differential equations and systems (34A30) Convexity of real functions in one variable, generalizations (26A51) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) One-variable calculus (26A06) Research exposition (monographs, survey articles) pertaining to real functions (26-02)

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Appell and Sheffer sequences: on their characterizations through functionals and examples ⋮ Oscillatory solutions of differential equations with several discrete delays and generalized ODEs ⋮ Théorème de Newton pour les fonctions de classe $C^r$ ⋮ Converse Lyapunov theorems for measure functional differential equations ⋮ Existence of periodic solutions and bifurcation points for generalized ordinary differential equations ⋮ Riemann's generalized boundary-value problem with piecewise-continuous coefficients ⋮ A semi-explicit density function for Kulkarni's bivariate phase-type distribution ⋮ Lagrange’s theorem, convex functions and Gauss map ⋮ \(BV\) continuous sweeping processes

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