A cantilever equation with nonlinear boundary conditions.
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Displaying 1 – 17 of 17
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein type.
A general semilocal convergence result for Newton’s method under centered conditions for the second derivative
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear...
A generalisation of a theorem of Koldunov with an elementary proof
Zafer Ercan (1999)
Czechoslovak Mathematical Journal
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
A generalization of Krasnosel’skii fixed point theorem for sums of compact and contractible maps with application
Bogdan Przeradzki (2012)
Open Mathematics
The existence of a fixed point for the sum of a generalized contraction and a compact map on a closed convex bounded set is proved. The result is applied to a kind of nonlinear integral equations.
A Newton-type method and its application.
Vijesh, V.Antony, Subrahmanyam, P.V. (2006)
International Journal of Mathematics and Mathematical Sciences
A non-differentiablity result for the inversion operator between Sobolev spaces.
Farkas, G., Garay, B.M. (2000)
Zeitschrift für Analysis und ihre Anwendungen
A nonlinear boundary problem involving the -bi-Laplacian operator.
El Khalil, Abdelouahed, Kellati, Siham, Touzani, Abdelfattah (2005)
International Journal of Mathematics and Mathematical Sciences
A third order boundary value problem subject to nonlinear boundary conditions
Gennaro Infante, Paolamaria Pietramala (2010)
Mathematica Bohemica
Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem. The boundary conditions that we study are of nonlocal type, involve Stieltjes integrals and are allowed to be nonlinear.
A topological structure of solution sets to evolution systems
Vladimír Ďurikovič, Monika Ďurikovičová (2005)
Mathematica Slovaca
A two-dimensional Hammerstein problem: The linear case.
Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Abstract superposition operators on mappings of bounded variation of two real variables. II.
Chistyakov, V.V. (2005)
Sibirskij Matematicheskij Zhurnal
Abstract superposition operators on mappings of bounded variation of two real variables. I.
Chistyakov, V.V. (2005)
Sibirskij Matematicheskij Zhurnal
An extension of invertibility of Hammerstein-type operators
Radu Tunaru (1999)
Czechoslovak Mathematical Journal
My aim is to show that some properties, proved to be true for the square matrices, are true for some not necessarily linear operators on a linear space, in particular, for Hammerstein-type operators.
An optimal symbolic calculus on Besov algebras
Gérard Bourdaud, Madani Moussai, Winfried Sickel (2006)
Annales de l'I.H.P. Analyse non linéaire
Approximation results for nonlinear integral operators in modular spaces and applications
Ilaria Mantellini, Gianluca Vinti (2003)
Annales Polonici Mathematici
We obtain modular convergence theorems in modular spaces for nets of operators of the form , w > 0, s ∈ G, where G and H are topological groups and is a family of homeomorphisms Such operators contain, in particular, a nonlinear version of the generalized sampling operators, which have many applications in the theory of signal processing.
Approximation solvability of Hammerstein equation.
Leca, Irina A. (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Currently displaying 1 – 17 of 17
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