Integration of a Dirac comb and the Bernoulli polynomials

DOI10.1016/j.bulsci.2015.11.001zbMath1343.34098OpenAlexW2193501483MaRDI QIDQ5962423

Gioia M. Vago, Alain Jacquemard, Maria Alice Bertolim

Publication date: 12 February 2016

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2015.11.001

zbMATH Keywords

differential equationsBernoulli polynomialsDirac combpiecewise-smooth

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Periodic solutions to ordinary differential equations (34C25) Discontinuous ordinary differential equations (34A36) Topological dynamics of nonautonomous systems (37B55) Dynamical systems methods for problems in mechanics (70G60)

Uses Software

• DLMF

Cites Work

• Time switched differential equations and the Euler polynomials
• Stability of the equilibrium positions in relay systems
• Theory of chattering control with applications to astronautics, robotics, economics, and engineering
• On singularities of discontinuous vector fields.
• Piecewise-smooth dynamical systems. Theory and applications
• Invariant varieties of discontinuous vector fields
• PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY
• On the Euler and Bernoulli polynomials.
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