Suchergebnisse - abstracts inverse mapping and implicit function theorems involving nonlinear operators*

Beyond Cauchy–Kowalewsky: a Picard–Lindelöf theorem for smooth PDE: Beyond Cauchy-Kowalewsky: a Picard-Lindelöf theorem for smooth PDE

Autoren: Giordano, Paolo Luperi Baglini, Lorenzo

Quelle: Journal of Fixed Point Theory and Applications. 27

Schlagwörter: loss of derivatives, Picard-Lindelöf theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, Cauchy-Kowalewsky theorem, inverse function theorem, Nash-Moser theorem, Cauchy–Kowalewsky theorem, Picard–Lindelof theorem, Nash–Moser theorem, Cauchy-Kovalevskaya theorems, Initial value problems for nonlinear higher-order PDEs

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/8030985
https://doi.org/10.1007/s11784-025-01184-5

Theorems on the representation of nonlinear mapping families and implicit function theorems

Autoren: A. F. Izmailov

Quelle: Mathematical Notes. 67:45-54

Schlagwörter: implicit function, Abstract inverse mapping and implicit function theorems involving nonlinear operators, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, representation theorem, 01 natural sciences, Implicit function theorems, global Newton methods on manifolds

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/BF02675791
https://link.springer.com/content/pdf/10.1007/BF02675791.pdf

A SIMPLE NASH-MOSER IMPLICIT FUNCTION THEOREM IN WEIGHTED BANACH SPACES: A simple Nash-Moser implicit function theorem in weighted Banach spaces

Autoren: Sanghyun Cho Jaeseo Park

Quelle: Bulletin of the Korean Mathematical Society. 40:289-300

Schlagwörter: Nash-Moser implicit function theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, smoothing operators, 0101 mathematics, weighted Sobolev spaces, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://society.kisti.re.kr/sv/SV_svpsbs03V.do?method=download&cn1=JAKO200311921727826
https://zbmath.org/2063421
https://doi.org/10.4134/bkms.2003.40.2.289
http://maths.sogang.ac.kr/shcho/pdf/p30.pdf
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BMAX_2003_v40n2_289

A right inverse function theorem withhout assuming differentiability: A right inverse function theorem without assuming differentiability

Autoren: B. Slezák

Quelle: Studia Scientiarum Mathematicarum Hungarica. 36:153-164

Schlagwörter: Brouwer's fixed-point theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, 0211 other engineering and technologies, tangent function, Continuity and differentiation questions, 02 engineering and technology, 01 natural sciences, open mapping theorem, Implicit function theorems, global Newton methods on manifolds, Fixed-point theorems, modulus of continuity, modulus of openness, 0101 mathematics, Open mapping and closed graph theorems, completeness (including \(B\)-, \(B_r\)-completeness)

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1604042
https://doi.org/10.1556/sscmath.36.2000.1-2.12
https://akjournals.com/view/journals/012/36/1-2/article-p153.xml

Implicit function theorem without a priori assumptions about normality

Autoren: Arutyunov A.V.

Quelle: Computational Mathematics and Mathematical Physics

Schlagwörter: Robinson condition, 2-regularity condition, Abstract inverse mapping and implicit function theorems involving nonlinear operators, Convex cone, 0101 mathematics, implicit function theory, convex cone, 01 natural sciences, Implicit function theory

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/5200896
https://openrepository.ru/article?id=253846
http://ui.adsabs.harvard.edu/abs/2006CMMPh..46..195A/abstract
https://link.springer.com/article/10.1134/S0965542506020023

A Generalized Implicit Function Theorem: A generalized implicit function theorem

Autoren: B. D. Gel’man

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Implicit functions determined by equations with unbounded operators and the solvability of operator equations

Autoren: M. N. Yakovlev

Quelle: Journal of Mathematical Sciences. 101:3355-3360

Schlagwörter: existence and differentiability, Equations involving nonlinear operators (general), unbounded operator, Abstract inverse mapping and implicit function theorems involving nonlinear operators, 0101 mathematics, implicit functions, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1550626
https://link.springer.com/article/10.1007/BF02672778

Implicit function theorem as a realization of the Lagrange principle. Abnormal points

Autoren: Arutyunov A.V.

Quelle: Sbornik Mathematics

Schlagwörter: implicit function theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, abnormal point, derivation, second-order condition, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://openrepository.ru/article?id=255083
http://www.osti.gov/scitech/biblio/21202911-implicit-function-theorem-realization-lagrange-principle-abnormal-points
https://iopscience.iop.org/article/10.1070/SM2000v191n01ABEH000446
http://ui.adsabs.harvard.edu/abs/2000SbMat.191....1A/abstract

FIXED POINT THEOREMS FOR INFINITE DIMENSIONAL HOLOMORPHIC FUNCTIONS: Fixed point theorems for infinite dimensional holomorphic functions

Autoren: Lawrence A. Harris

Quelle: Journal of the Korean Mathematical Society. 41:175-192

Schlagwörter: Holomorphic maps in nonlinear functional analysis, Fréchet derivative, Fixed-point theorems, convex domain, fixed point, Abstract inverse mapping and implicit function theorems involving nonlinear operators, holomorphic numerical range, Bloch radius, Cartan's uniqueness theorem, 0101 mathematics, Infinite-dimensional holomorphy, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://society.kisti.re.kr/sv/SV_svpsbs03V.do?method=download&cn1=JAKO200411922194601
https://uknowledge.uky.edu/math_facpub/40/
http://www.ms.uky.edu/~larry/paper.dir/korea.pdf
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2004_v41n1_175
https://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1040&context=math_facpub

Covering of nonlinear maps on a cone in neighborhoods of irregular points

Autoren: Arutyunov A.V.

Quelle: Mathematical Notes

Schlagwörter: implicit function theorem, Γ-covering map, Abstract inverse mapping and implicit function theorems involving nonlinear operators, \(\Gamma\)-covering map, 0211 other engineering and technologies, linearly covering map, 02 engineering and technology, Linearly covering map, 01 natural sciences, covering theorem for a cone, Robinson regularity condition, Banach open mapping theorem, 0101 mathematics, Implicit function theorem, Covering theorem for a cone, Set-valued and variational analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2203058
https://doi.org/10.1007/s11006-005-0043-x
https://openrepository.ru/article?id=253981
https://link.springer.com/article/10.1007/s11006-005-0043-x
https://link.springer.com/content/pdf/10.1007/s11006-005-0043-x.pdf

Criteria for the global invertibility of C1 functions between Banach spaces: Criteria for the global invertibility of \(C^{1}\) functions between Banach spaces

Autoren: Ti-Jun Xiao Hong-Xu Li Jin Liang

Quelle: Nonlinear Analysis: Theory, Methods & Applications. 51:189-195

Schlagwörter: Derivatives of functions in infinite-dimensional spaces, global inverse function theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, Hadamard theorem, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0362546X01008185#!

Linear semi-openness and the Lyusternik theorem

Autoren: H. Pühl W. Schirotzek

Quelle: European Journal of Operational Research. 157:16-27

Schlagwörter: Contingent cone, Set-valued mapping, Abstract inverse mapping and implicit function theorems involving nonlinear operators, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, Linear semi-openness, Openness bound, Metric regularity, Lyusternik theorem, Piecewise linear function, 0101 mathematics, Linear openness, Set-valued and variational analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://dblp.uni-trier.de/db/journals/eor/eor157.html#PuhlS04
https://ideas.repec.org/a/eee/ejores/v157y2004i1p16-27.html
https://www.sciencedirect.com/science/article/pii/S0377221703005125
http://www.sciencedirect.com/science/article/pii/S0377221703005125

A high-order generalization of the Lyusternik theorem

Autoren: Urszula Ledzewicz Heinz Schättler

Quelle: Nonlinear Analysis: Theory, Methods & Applications. 34:793-815

Schlagwörter: Lyusternik theorem, open mapping principle, Abstract inverse mapping and implicit function theorems involving nonlinear operators, extremum problems, tangent set, 0211 other engineering and technologies, 02 engineering and technology, Sensitivity, stability, well-posedness, 0101 mathematics, Optimality conditions for problems in abstract spaces, Optimality conditions for problems involving ordinary differential equations, 01 natural sciences, level set

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0362546X98000017

Local inversion for differentiable functions and the Darboux property: Local inversion for differentiable functions and the Darboux property.

Autoren: Jean Saint Raymond

Quelle: Mathematika. 49:141-158

Schlagwörter: Darboux property, Implicit function theorems, Jacobians, transformations with several variables, implicit function theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, differentiable functions, 0101 mathematics, local inversion, 01 natural sciences, Implicit function theorems, global Newton methods on manifolds

Dateibeschreibung: application/xml

Zugangs-URL: https://www.cambridge.org/core/journals/mathematika/article/local-inversion-for-differentiable-functions-and-the-darboux-property/5BE7FE09B3537A86F87FBF705E1B20D0
https://dialnet.unirioja.es/servlet/articulo?codigo=868706
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5BE7FE09B3537A86F87FBF705E1B20D0/S0025579300016132a.pdf/div-class-title-local-inversion-for-differentiable-functions-and-the-darboux-property-div.pdf
http://www.journals.cambridge.org/abstract_S0025579300016132

Applications of the differential calculus to nonlinear parabolic operators: Application of the differential calculus to nonlinear parabolic operators

Autoren: RECKE L. SOFTOVA PALAGACHEVA, Lyoubomira

Schlagwörter: nonlinear parabolic operators, Quasilinear parabolic equations, Implicit Function Theorem, Nonlinear parabolic operators, Cauchy-Dirichlet problem, perturbation, implicit function theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, Newton iteration procedure, strong solutions, Initial value problems for second-order parabolic equations, Implicit function theorems, global Newton methods on manifolds

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/6395634
https://hdl.handle.net/11386/4701521
https://hdl.handle.net/11591/204878

Global inversion theorem to unique solvability of Dirichlet problems

Autoren: Sorin Radulescu Marius Radulescu

Quelle: Journal of Mathematical Analysis and Applications. 272:362-367

Schlagwörter: Global homeomorphism, Banach–Mazur–Caccioppoli theorem, Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, Applied Mathematics, Global inversion theorem, Abstract inverse mapping and implicit function theorems involving nonlinear operators, global homeomorphism, 01 natural sciences, Global diffeomorphism, global inversion theorem, global diffeomorphism, Banach-Mazur-Caccioppoli theorem, 0101 mathematics, Analysis, Dirichlet problem

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1836794
https://doi.org/10.1016/s0022-247x(02)00176-2
https://www.sciencedirect.com/science/article/abs/pii/S0022247X02001762
https://www.sciencedirect.com/science/article/pii/S0022247X02001762

Smooth dependence on parameters of solutions of variational inequalities

Autoren: Eisner, J. (Jan) Kučera, M. (Milan) Recke, L.

Quelle: Nonlinear Analysis: Theory, Methods & Applications. 62:849-861

Schlagwörter: Noncooperative games, unilaterally supported beam, smooth dependence on parameters, Variational and other types of inequalities involving nonlinear operators (general), implicit function theorem, Special types of economic equilibria, Abstract inverse mapping and implicit function theorems involving nonlinear operators, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, multiparameter variational inequality, variational inequality, 0101 mathematics, 01 natural sciences, Nash equilibrium

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2198590
https://doi.org/10.1016/j.na.2005.02.124
https://www.sciencedirect.com/science/article/pii/S0362546X05004438
http://www.sciencedirect.com/science/article/pii/S0362546X05004438
http://hdl.handle.net/11104/0110842

Multimodal Standing Gravity Waves: a Completely Resonant System: Multimodal standing gravity waves: a completely resonant system

Autoren: Gérard Iooss Pavel I. Plotnikov Remy, Katy et al.

Weitere Verfasser: Gérard Iooss Pavel I. Plotnikov Remy, Katy et al.

Quelle: Journal of Mathematical Fluid Mechanics. 7:S110-S126

Schlagwörter: Bifurcations in context of PDEs, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Free-surface potential flows for incompressible inviscid fluids, nonlocal PDE, complete resonance AMS classification: 35B32, gravity waves, PDEs in connection with fluid mechanics, 35B34, 01 natural sciences, Asymptotic expansions of solutions to PDEs, standing gravity waves, [NLIN.NLIN-PS] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS], Resonance in context of PDEs, [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], doubly 2\(\pi\)-periodic solutions, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, nonlinear water waves, Periodic solutions to PDEs, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Abstract inverse mapping and implicit function theorems involving nonlinear operators, formal solutions, standing waves, 76B07, 76B15, bifurcation theory, infinite dimensional bifurcation equation

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: https://hal.univ-cotedazur.fr/hal-01265187/file/GI-PP_1.pdf
https://univ-cotedazur.hal.science/hal-01265187v1
https://doi.org/10.1007/s00021-004-0128-4
https://univ-cotedazur.hal.science/hal-01265187v1/document
https://link.springer.com/article/10.1007/s00021-004-0128-4
https://math.unice.fr/~iooss/publis1/GI-PP_1.pdf
https://hal.univ-cotedazur.fr/hal-01265187
https://hal.univ-cotedazur.fr/hal-01265187/document
https://link.springer.com/10.1007/s00021-004-0128-4
https://ui.adsabs.harvard.edu/abs/2005JMFM....7S.110I/abstract

The convexity principle and its applications

Autoren: B. T. Polyak

Quelle: Bulletin of the Brazilian Mathematical Society. 34:59-75

Schlagwörter: 0209 industrial biotechnology, zeros of polynomials, convexity, Abstract inverse mapping and implicit function theorems involving nonlinear operators, 0211 other engineering and technologies, Convex sets without dimension restrictions (aspects of convex geometry), \(\mu\)-analysis, 02 engineering and technology, Optimality conditions for problems involving ordinary differential equations, Real polynomials: location of zeros, optimal control, nonlinear map, eigenvalues of perturbed matrices, Attainable sets, reachability, iterative methods, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, Optimality conditions and duality in mathematical programming, mathematical programming, Set-valued and variational analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2016644
https://doi.org/10.1007/s00574-003-0003-6
https://link.springer.com/article/10.1007/s00574-003-0003-6
http://www.kurims.kyoto-u.ac.jp/EMIS/journals/em/docs/boletim/vol341/v34-1-a3-2003.pdf
https://link.springer.com/content/pdf/10.1007/s00574-003-0003-6.pdf

An inverse mapping theorem for polynomial operators in Hilbert spaces

Autoren: Zagorodnyuk, A. V.

Schlagwörter: inverse map, (Spaces of) multilinear mappings, polynomials, Multilinear and polynomial operators, Abstract inverse mapping and implicit function theorems involving nonlinear operators, Hilbert space, polynomial operator

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2098860