Search Results - "Generalized implicit function theorem"

A Generalized Implicit Function Theorem: A generalized implicit function theorem

Authors: B. D. Gel’man

Source: Functional Analysis and Its Applications. 35:183-188

Subject Terms: Implicit function theorems, Jacobians, transformations with several variables, continuous linear operator, Applications of operator theory to differential and integral equations, classical implicit function theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, 0211 other engineering and technologies, derivative, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Set-valued and variational analysis, Continuous and differentiable maps in nonlinear functional analysis

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Access URL: https://zbmath.org/1729080
https://doi.org/10.1023/a:1012322727547
https://link.springer.com/article/10.1023/A%3A1012322727547

Generalized implicit function theorem and its application to parametric optimal control problems

Authors: Kostina, Ekaterina Kostyukova, Olga

Source: Journal of Mathematical Analysis and Applications. 320:736-755

Subject Terms: Bifurcations, 510 Mathematics, Dependence on a parameter, Applied Mathematics, 0211 other engineering and technologies, 02 engineering and technology, Parametric time-optimal control problems, Implicit function theorem, Analysis, ddc-510

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Access URL: http://ui.adsabs.harvard.edu/abs/2006JMAA..320..736K/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X05007377
https://www.sciencedirect.com/science/article/abs/pii/S0022247X05007377
https://core.ac.uk/display/82114935
https://archiv.ub.uni-heidelberg.de/volltextserver/5293/
http://archiv.ub.uni-heidelberg.de/volltextserver/5293/

An application of generalized implicit function theorem to Goursat problems for nonlinear Leray-Volevich systems

Authors: Masafumi Yoshino

Source: Journal of Differential Equations. 57:44-69

Subject Terms: generalized implicit function theorem, Goursat problems, 0103 physical sciences, nonlinear Leray- Volevich systems, General existence and uniqueness theorems (PDE), Nonlinear higher-order PDEs, 0101 mathematics, 01 natural sciences, Analysis

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/0022039685900701
https://www.sciencedirect.com/science/article/pii/0022039685900701
https://ui.adsabs.harvard.edu/abs/1985JDE....57...44Y/abstract

A generalized implicit function theorem for equations with symmetry

Authors: Ronald I. Becker

A perturbation study of the obstacle problem by means of a generalized implicit function theorem

Authors: Alain Dervieux

Source: Annali di Matematica Pura ed Applicata. 127:321-364

Subject Terms: Inverse problems for PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, perturbation, inverse problems, Perturbations in context of PDEs, Nash-Moser implicit function theorem, Existence theories for optimal control problems involving partial differential equations, Variational inequalities, 01 natural sciences, free boundary problem, optimal control, obstacle problem, geometrical domain, Free boundary problems for PDEs, 0101 mathematics

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Access URL: https://link.springer.com/article/10.1007/BF01811729
https://hal.inria.fr/inria-00076545/document
https://hal.inria.fr/inria-00076545

Generalized Implicit Function Theorem and its Application to Parametric Optimal Control Problems

Authors: Kostina, Ekaterina Kostyukova, Olga

Subject Terms: ddc-510, 510 Mathematics

File Description: application/pdf

Relation: https://archiv.ub.uni-heidelberg.de/volltextserver/5293/1/kostina.pdf; urn:nbn:de:bsz:16-heidok-52932; Kostina, Ekaterina; Kostyukova, Olga (2005) Generalized Implicit Function Theorem and its Application to Parametric Optimal Control Problems. [Preprint]

Availability: https://archiv.ub.uni-heidelberg.de/volltextserver/5293/
https://doi.org/10.11588/heidok.00005293

A pertubation study of the obstacle problem by means of a generalized implicit function theorem

Authors: Dervieux, Alain Inria, Rapport De Recherche

Contributors: Dervieux, Alain Inria, Rapport De Recherche

Subject Terms: [INFO.INFO-OH] Computer Science [cs]/Other [cs.OH]

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Access URL: https://inria.hal.science/inria-00076545v1

On the Existence of Periodic Solutions for a Certain Type of Nonlinear Differential Equations: On the existence of periodic solutions for a certain type of nonlinear differential equations

Authors: Michal Fečkan

Source: Journal of Differential Equations. 121:28-41

Subject Terms: generalized implicit function theorem, 0103 physical sciences, Zakharov system, Initial-boundary value problems for second-order hyperbolic equations, coupled dissipative wave equation, 0101 mathematics, 01 natural sciences, Analysis, Periodic solutions to PDEs, Second-order nonlinear hyperbolic equations

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Access URL: https://zbmath.org/800400
https://doi.org/10.1006/jdeq.1995.1120
http://ui.adsabs.harvard.edu/abs/1995JDE...121...28F/abstract
https://core.ac.uk/display/82600949
https://www.sciencedirect.com/science/article/abs/pii/S0022039685711205
https://www.sciencedirect.com/science/article/pii/S0022039685711205

A Generalized Implicit Function Theorem.

Authors: Gel'man, B.

Source: Functional Analysis & Its Applications; Jul2001, Vol. 35 Issue 3, p183-188, 6p

A perturbation study of the obstacle problem by means of a generalized implicit function theorem.

Authors: Dervieux, Alain

Source: Annali di Matematica Pura ed Applicata; Dec1981, Vol. 127 Issue 1, p321-364, 44p

Periodic solutions of a hyperbolic reaction-diffusion Nicholson's blowflies equation.

Authors: Li, Yujing Niu, Ben

Source: Discrete & Continuous Dynamical Systems - Series B; Dec2025, Vol. 30 Issue 12, p1-28, 28p

Subject Terms: HYPERBOLIC differential equations, REACTION-diffusion equations, LYAPUNOV-Schmidt equation, EIGENVALUES, BIFURCATION theory, DYNAMICAL systems, INERTIA (Mechanics), CONVECTIVE flow

on the cauchy problem for nonlinear evolution equations and regularity of solutions: On the Cauchy problem for nonlinear evolution equations and regularity of solutions

Authors: Poppenberg, Markus Università del Salento - Coordinamento SIBA

Contributors: Poppenberg, Markus Università del Salento - Coordinamento SIBA

Subject Terms: Cauchy problem, NLS equations (nonlinear Schrödinger equations), local well-posedness, Nonlinear parabolic equation, generalized implicit function theorem of Nash-Moser type, Smoothing property, Nonlinear differential equations in abstract spaces, ordinary differential equations in Fréchet spaces, Nonlinear evolution equation, Well posedness, specific nonlinear Schrödinger type equations, Implicit function theorems, global Newton methods on manifolds, Nash-Moser technique, Nonlinear Schrödinger equation, smoothing property, Fréchet space, Initial value problems for nonlinear first-order PDEs, nonlinear parabolic partial differential equations, Implicit function theorem, Ordinary differential equation

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Access URL: https://zbmath.org/1445878
http://siba-ese.unisalento.it/index.php/notemat/article/view/860/716
http://siba-ese.unile.it/index.php/notemat/article/view/860

Nonlocal Generalized Implicit Function Theorems in Hilbert Spaces.

Authors: Arutyunov, A. V. Zhukovskiy, S. E.

Source: Differential Equations; 2020, Vol. 56 Issue 12, p1525-1538, 14p

Subject Terms: THEORY of distributions (Functional analysis), HILBERT space, HILBERT functions, IMPLICIT functions, ORDINARY differential equations, INVERSE functions

Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs.

Authors: Kmit, I. Recke, L.

Source: Journal of Differential Equations. Dec2015, Vol. 259 Issue 11, p6287-6337. 51p.

Subject Terms: *MATHEMATICAL regularization, *DEPENDENCE (Statistics), *DIFFERENTIAL equations, *HYPERBOLIC differential equations, *PARTIAL differential equations, *GENERALIZATION

Nontopological solutions in the self-dual Maxwell–Chern–Simons gauged [formula omitted] sigma model.

Authors: Han, Jongmin Song, Kyungwoo

Source: Nonlinear Analysis. May2015, Vol. 118, p22-40. 19p.

Subject Terms: *SIGMA particles, *LIOUVILLE'S theorem, *IMPLICIT functions, *BOUNDARY value problems, *MAGNETIC flux, *NONLINEAR analysis

Parametric Expansions of an Algebraic Variety Near Its Singularities II.

Authors: Bruno, Alexander D. Azimov, Alijon A.

Source: Axioms (2075-1680); Feb2024, Vol. 13 Issue 2, p106, 63p

Subject Terms: IMPLICIT functions, RATIONAL numbers, ALGEBRAIC fields, NONLINEAR analysis, ALGEBRAIC varieties, POLYHEDRA

On dents of constrained plates

Authors: Langenbach, A.

Subject Terms: method of Lyapunov-Schmidt, generalized implicit function theorem, Bifurcation and buckling, Nonlinear boundary value problems for linear elliptic equations, von Kármán equations, Nonlinear elasticity, multivalued maximal monotone operators, Plates, PDEs with multivalued right-hand sides, fourth-order nonlinear elliptic system, fixed point theorem of Kakutani

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Access URL: https://zbmath.org/871609

On an implicit function theorem

Authors: Tadini, Wilson Mauricio

Subject Terms: generalized implicit function theorem, Differentiable maps on manifolds, implicit function theorem, Theory of singularities and catastrophe theory, Implicit function theorems, global Newton methods on manifolds

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Access URL: https://zbmath.org/4052613

Hopf Bifurcation for General 1D Semilinear Wave Equations with Delay.

Authors: Kmit, Irina Recke, Lutz

Source: Journal of Dynamics & Differential Equations; Jun2022, Vol. 34 Issue 2, p1393-1431, 39p

Subject Terms: WAVE equation, SMALL divisors, BOUNDARY value problems, IMPLICIT functions, HOPF bifurcations, SMOOTHNESS of functions

pth-order approximation of the solution set of nonlinear equations.

Authors: Evtushenko, Yu. Tret'yakov, A.

Source: Computational Mathematics & Mathematical Physics. Dec2013, Vol. 53 Issue 12, p1763-1780. 18p.

Subject Terms: *APPROXIMATION theory, *NONLINEAR equations, *SET theory, *MATHEMATICAL formulas, *ITERATIVE methods (Mathematics), *PROBLEM solving