Maps that are continuously differentiable in the Michal and Bastiani sense but not in the Fréchet sense
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Publication:2065979
DOI10.1007/S10958-021-05660-4zbMath1491.46029OpenAlexW3215026011WikidataQ112879539 ScholiaQ112879539MaRDI QIDQ2065979
Publication date: 13 January 2022
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-021-05660-4
Fréchet and Gateaux differentiability in optimization (49J50) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05)
Cites Work
- Unnamed Item
- Semiflows for differential equations with locally bounded delay on solution manifolds in the space \(C^1 ((-\infty, 0, {\mathbb R}^n)\)]
- Smoothness properties of semiflows for differential equations with state-dependent delays
- Differential equations with locally bounded delay
- Introduction to functional differential equations
- The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
- Delay equations. Functional-, complex-, and nonlinear analysis
- Evolution systems for differential equations with variable time lags
- Implicit functions from topological vector spaces to Banach spaces
- Applications différentiables et variétés différentiables de dimension infinie
- Smoothness issues in differential equations with state-dependent delay
- The inverse function theorem of Nash and Moser
- Local invariant manifolds for delay differential equations with state space in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mn>1</mml:mn></mml:msup><mml:mo form="prefix">(</mml:mo><mml:mrow><mml:mo form="prefix">(</mml:mo><mml:mo>-</mml:mo><mml:mo>∞</mml:mo><mml:mn>,0</mml:mn><mml:mo form="postfix"></mml:mo><mml:mo>,</mml:mo><mml:msup><mml:mi>ℝ</mml:mi><mml:mi>n</mml:mi></mml:msup><mml:mo form="postfix">)</mml:mo></mml:mrow></mml:mrow></mml…]
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