Search Results - classical implicit function theorem
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A Note on the Classical Implicit Function Theorem
ISSN: 0001-4346, 1067-9073, 1573-8876Published: Moscow Pleiades Publishing 01.11.2021Published in Mathematical Notes (01.11.2021)Get full text
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Robinson’s implicit function theorem and its extensions
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer-Verlag 01.03.2009Published 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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Periodic delay orbits and the polyfold implicit function theorem
ISSN: 0010-2571, 1420-8946Published: 01.01.2022Published 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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A strong version of Implicit Function Theorem
ISSN: 2199-675X, 2199-6768Published: Cham Springer International Publishing 01.06.2016Published 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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Counterexamples in scale calculus
ISSN: 1091-6490, 1091-6490Published: United States 30.04.2019Published in Proceedings of the National Academy of Sciences - PNAS (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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On the Energy-Momentum Spectrum and One-Meson Dispersion Curves in (3 + 1)-Dimensional Strongly Coupled Lattice QCD with three Flavors
ISSN: 0034-4877, 1879-0674Published: Elsevier Ltd 01.04.2019Published 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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Essential properties of Lp,q spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time
ISSN: 0304-4068Published: Elsevier B.V 01.01.2014Published 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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Implicit multifunction theorems with positively homogeneous maps
ISSN: 0362-546X, 1873-5215Published: Amsterdam Elsevier Ltd 01.02.2012Published 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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An implicit function theorem for the stream calculus
ISSN: 1860-5974, 1860-5974Published: Logical Methods in Computer Science e.V 01.01.2024Published 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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On Conditions for Unrectifiability of a Metric Space
ISSN: 2299-3274, 2299-3274Published: Berlin De Gruyter Open 01.01.2015Published 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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Periodic delay orbits and the polyfold implicit function theorem
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 31.10.2022Published 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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Self-Excited Vibrations for Damped and Delayed 1-Dimensional Wave Equations
ISSN: 1040-7294, 1572-9222Published: New York Springer US 15.03.2019Published in Journal of dynamics and differential equations (15.03.2019)“… Only the classical implicit function theorem is used. The direction of bifurcation is also obtained…”
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Post-Minkowskian scattering angle in Einstein gravity
ISSN: 1029-8479, 1029-8479Published: Berlin/Heidelberg Springer Berlin Heidelberg 07.08.2020Published 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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Symmetric vibrations of higher dimensional nonlinear wave equations
ISSN: 1022-1824, 1420-9020Published: Cham Springer International Publishing 01.07.2022Published 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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Essential properties of L^sub p.q^ spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time
ISSN: 0304-4068, 1873-1538Published: Amsterdam Elsevier Sequoia S.A 01.01.2014Published 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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METRIC REGULARITY—A SURVEY PART II. APPLICATIONS
ISSN: 1446-7887, 1446-8107Published: Cambridge, UK Cambridge University Press 01.12.2016Published in Journal of the Australian Mathematical Society (2001) (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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New perspective on some classical results in analysis and optimization
ISSN: 1055-6788, 1029-4937Published: Abingdon Taylor & Francis 04.07.2021Published 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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Dependence of solutions of nonsmooth differential-algebraic equations on parameters
ISSN: 0022-0396, 1090-2732Published: Elsevier Inc 05.02.2017Published 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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A Generalized Implicit Function Theorem
ISSN: 0016-2663, 1573-8485Published: 01.07.2001Published in Functional analysis and its applications (01.07.2001)Get full text
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Sensitivity Analysis for Optimal Control Problems Subject to Higher Order State Constraints
ISSN: 0254-5330, 1572-9338Published: New York Springer Nature B.V 01.01.2001Published 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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