Search Results - classical implicit function theorem

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  1. 1

    A Note on the Classical Implicit Function Theorem by Avakov, E. R., Magaril-Il’yaev, G. G.

    ISSN: 0001-4346, 1067-9073, 1573-8876
    Published: Moscow Pleiades Publishing 01.11.2021
    Published in Mathematical Notes (01.11.2021)
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    Journal Article
  2. 2

    Robinson’s implicit function theorem and its extensions by Dontchev, A. L., Rockafellar, R. T.

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer-Verlag 01.03.2009
    Published in Mathematical programming (01.03.2009)
    “… In fact, his result covered much of the classical implicit function theorem, if not quite all, but went far beyond that in ideas and format. Here…”
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    Journal Article
  3. 3

    Periodic delay orbits and the polyfold implicit function theorem by Albers, Peter, Seifert, Irene

    ISSN: 0010-2571, 1420-8946
    Published: 01.01.2022
    Published in Commentarii mathematici Helvetici (01.01.2022)
    “… . However, it seems difficult to prove this using the classical implicit function theorem, since the equation above, considered as an operator, is not smooth in the delay parameter…”
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    Journal Article
  4. 4

    A strong version of Implicit Function Theorem by Belitskii, Genrich, Kerner, Dmitry

    ISSN: 2199-675X, 2199-6768
    Published: Cham Springer International Publishing 01.06.2016
    Published in European journal of mathematics (01.06.2016)
    “… over (commutative, associative) rings. The classical Implicit Function Theorem and its strengthening obtained by Tougeron and Fisher appear to be (weaker…”
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    Journal Article
  5. 5

    Counterexamples in scale calculus by Filippenko, Benjamin, Zhou, Zhengyi, Wehrheim, Katrin

    ISSN: 1091-6490, 1091-6490
    Published: United States 30.04.2019
    “…We construct counterexamples to classical calculus facts such as the inverse and implicit function theorems in scale calculus-a generalization of multivariable calculus to infinite-dimensional vector…”
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  6. 6

    On the Energy-Momentum Spectrum and One-Meson Dispersion Curves in (3 + 1)-Dimensional Strongly Coupled Lattice QCD with three Flavors by da Veiga, Paulo A. Faria, O'Carroll, Michael, Alvites, José C. Valencia

    ISSN: 0034-4877, 1879-0674
    Published: Elsevier Ltd 01.04.2019
    Published in Reports on mathematical physics (01.04.2019)
    “…We use an imaginary-time formulation of quantum field theory to analyze a lattice QCD model with the improved Wilson action on a Euclidean (3 + 1)-dimensional…”
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    Journal Article
  7. 7

    Essential properties of Lp,q spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time by Mertens, Jean-François, Rubinchik, Anna

    ISSN: 0304-4068
    Published: Elsevier B.V 01.01.2014
    Published in Journal of mathematical economics (01.01.2014)
    “…  Mertens and Rubinchik (2011)). Finally, we generalise the classical implicit function theorem (ift…”
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    Journal Article
  8. 8

    Implicit multifunction theorems with positively homogeneous maps by Jeffrey Pang, C.H.

    ISSN: 0362-546X, 1873-5215
    Published: Amsterdam Elsevier Ltd 01.02.2012
    Published in Nonlinear analysis (01.02.2012)
    “…, allowing us to obtain results that more closely resemble the classical (single-valued) implicit function theorem…”
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  9. 9

    An implicit function theorem for the stream calculus by Boreale, Michele, Collodi, Luisa, Gorla, Daniele

    ISSN: 1860-5974, 1860-5974
    Published: Logical Methods in Computer Science e.V 01.01.2024
    Published in Logical methods in computer science (01.01.2024)
    “…In the context of the stream calculus, we present an Implicit Function Theorem (IFT) for polynomial systems, and discuss its relations with the classical IFT from calculus…”
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    Journal Article
  10. 10

    On Conditions for Unrectifiability of a Metric Space by Hajłasz, Piotr, Malekzadeh, Soheil

    ISSN: 2299-3274, 2299-3274
    Published: Berlin De Gruyter Open 01.01.2015
    Published in Analysis and Geometry in Metric Spaces (01.01.2015)
    “… An interesting feature of our approach is that despite the fact that we are dealing with arbitrary metric spaces, we employ a variant of the classical implicit function theorem…”
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    Journal Article
  11. 11

    Periodic delay orbits and the polyfold implicit function theorem by Albers, Peter, Seifert, Irene

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 31.10.2022
    Published in arXiv.org (31.10.2022)
    “… However, it seems difficult to prove this using the classical implicit function theorem, since the equation above is not smooth in the delay parameter…”
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    Paper
  12. 12

    Self-Excited Vibrations for Damped and Delayed 1-Dimensional Wave Equations by Kosovalić, Nemanja, Pigott, Brian

    ISSN: 1040-7294, 1572-9222
    Published: New York Springer US 15.03.2019
    “… Only the classical implicit function theorem is used. The direction of bifurcation is also obtained…”
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  13. 13

    Post-Minkowskian scattering angle in Einstein gravity by Bjerrum-Bohr, N.E.J., Cristofoli, Andrea, Damgaard, Poul H.

    ISSN: 1029-8479, 1029-8479
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 07.08.2020
    Published in The journal of high energy physics (07.08.2020)
    “…A bstract Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of…”
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  14. 14

    Symmetric vibrations of higher dimensional nonlinear wave equations by Kosovalić, Nemanja, Pigott, Brian

    ISSN: 1022-1824, 1420-9020
    Published: Cham Springer International Publishing 01.07.2022
    Published in Selecta mathematica (Basel, Switzerland) (01.07.2022)
    “… For the latter only the classical implicit function theorem is used. The set of admissible spatial dimensions is the union of the perfect squares together with finitely many…”
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  15. 15

    Essential properties of L^sub p.q^ spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time by Mertens, Ean-François, Rubinchik, Anna

    ISSN: 0304-4068, 1873-1538
    Published: Amsterdam Elsevier Sequoia S.A 01.01.2014
    Published in Journal of mathematical economics (01.01.2014)
    “… Mertens and Rubinchik (2011)). Finally, we generalise the classical implicit function theorem (ift…”
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    Journal Article
  16. 16

    METRIC REGULARITY—A SURVEY PART II. APPLICATIONS by IOFFE, A. D.

    ISSN: 1446-7887, 1446-8107
    Published: Cambridge, UK Cambridge University Press 01.12.2016
    “… in which such phenomena as nondifferentiability and set-valued mappings naturally appear. The roots of the theory go back to such fundamental results of the classical analysis as the implicit function theorem, Sard theorem and some others…”
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  17. 17

    New perspective on some classical results in analysis and optimization by Brezhneva, Olga, Evtushenko, Yuri G., Tret'yakov, Alexey A.

    ISSN: 1055-6788, 1029-4937
    Published: Abingdon Taylor & Francis 04.07.2021
    Published in Optimization methods & software (04.07.2021)
    “… The focus is on new elementary proofs of Implicit Function Theorem, Lusternik's Theorem, and optimality conditions for equality constrained optimization problems…”
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  18. 18

    Dependence of solutions of nonsmooth differential-algebraic equations on parameters by Stechlinski, Peter G., Barton, Paul I.

    ISSN: 0022-0396, 1090-2732
    Published: Elsevier Inc 05.02.2017
    Published in Journal of Differential Equations (05.02.2017)
    “… with Carathéodory-style assumptions on the differential right-hand side functions and local Lipschitz continuity assumptions on the algebraic equations…”
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  19. 19

    A Generalized Implicit Function Theorem by Gel'man, B. D.

    ISSN: 0016-2663, 1573-8485
    Published: 01.07.2001
    Published in Functional analysis and its applications (01.07.2001)
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  20. 20

    Sensitivity Analysis for Optimal Control Problems Subject to Higher Order State Constraints by Malanowski, Kazimierz, Maurer, Helmut

    ISSN: 0254-5330, 1572-9338
    Published: New York Springer Nature B.V 01.01.2001
    Published in Annals of operations research (01.01.2001)
    “… only. The classical implicit function theorem is applied to these new problems to investigate Frechet differentiability of the stationarity points with respect to the parameter…”
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