Nowhere monotone singular functions in problems of finite control of distributed systems

DOI10.1134/S1064562414010268zbMath1305.26013MaRDI QIDQ403942

A. N. Agadzhanov

Publication date: 29 August 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

nowhere monotone singular functions

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Singular functions, Cantor functions, functions with other special properties (26A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (3)

Taylor-type formulas for arbitrary continuous functions on intervals and their application in control problems for distributed systems ⋮ Fractal functions with continuous Weil-type derivatives of variable order in control of distributed systems ⋮ Peano-type curves, Liouville numbers, and microscopic sets

Cites Work

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• An Increasing Continuous Singular Function
• Differentiation of Real Functions
• Devil's staircases, ramps, humps and roller coasters
• Everywhere Differentiable, Nowhere Monotone, Functions

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