A quasi-Newton method for solving fixed point problems in Hilbert spaces.
Pierpaolo Omari, Igor Moret (1991)
Numerische Mathematik
Aliev, N., Hosseini, S.Mohammad (2001)
International Journal of Mathematics and Mathematical Sciences
Schiop, Alexandru I. (1974)
Portugaliae mathematica
Saidachmat N. Lakaev (1986)
Commentationes Mathematicae Universitatis Carolinae
A. Perälä, J. A. Virtanen, L. Wolf (2013)
Concrete Operators
We study the homogeneous Riemann-Hilbert problem with a vanishing scalar-valued continuous coefficient. We characterize non-existence of nontrivial solutions in the case where the coefficient has its values along several rays starting from the origin. As a consequence, some results on injectivity and existence of eigenvalues of Toeplitz operators in Hardy spaces are obtained.
Khoie, R. (1996)
Mathematical Problems in Engineering
Khoie, R. (1996)
Mathematical Problems in Engineering
Shaw, R.E., Garey, L.E. (1997)
International Journal of Mathematics and Mathematical Sciences
A. Styszyński (1980)
Applicationes Mathematicae
Rejniak, Katarzyna A., Dillon, Robert H. (2007)
Computational & Mathematical Methods in Medicine
Dragiša Mitrović (1977)
Publications de l'Institut Mathématique
D. Mitrovic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
Wojciech Mydlarczyk (1998)
Annales Polonici Mathematici
We consider the problem of the existence of positive solutions u to the problem , (g ≥ 0,x > 0, n ≥ 2). It is known that if g is nondecreasing then the Osgood condition is necessary and sufficient for the existence of nontrivial solutions to the above problem. We give a similar condition for other classes of functions g.
Liu, James H. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Piermarco Cannarsa, Daniela Sforza (2008)
Applicationes Mathematicae
We study second order nonlinear integro-differential equations in Hilbert spaces with weakly singular convolution kernels obtaining energy estimates for the solutions, uniform in t. Then we show that the solutions decay exponentially at ∞ in the energy norm. Finally, we apply these results to a problem in viscoelasticity.
J. Matthys (1976/1977)
Numerische Mathematik
Ľubor Malina (1975)
Aplikace matematiky
Method for numerical solution of Volterra integral equations, based on the O.I.M. methods, is suggested. It is known that the class of O.I.M. methods includes -stable methods of arbitrary high order of asymptotic accuracy. In part 5, it is proved that these methods generate methods for numerical solution of Volterra equations which are also -stable and of an arbitrarily high order. There is one advantage of the methods. Namely, they need no matrix inversion in the course of their numerical realization....
Shidfar, A., Zakeri, A., Neisi, A. (2005)
International Journal of Mathematics and Mathematical Sciences
Ioannis K. Argyros (1995)
Monatshefte für Mathematik
I. K. Argyros, D. González (2015)
Applicationes Mathematicae
We provide a local as well as a semilocal convergence analysis for Newton's method using unifying hypotheses on twice Fréchet-differentiable operators in a Banach space setting. Our approach extends the applicability of Newton's method. Numerical examples are also provided.