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Approximation methods for solving the Cauchy problem

Cristinel Mortici (2005)

Czechoslovak Mathematical Journal

In this paper we give some new results concerning solvability of the 1-dimensional differential equation $y^{'} = f (x, y)$ with initial conditions. We study the basic theorem due to Picard. First we prove that the existence and uniqueness result remains true if $f$ is a Lipschitz function with respect to the first argument. In the second part we give a contractive method for the proof of Picard theorem. These considerations allow us to develop two new methods for finding an approximation sequence for the solution....

Approximation numbers of composition operators on H p

Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza (2015)

Concrete Operators

give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞

Approximation of a common random fixed point for a finite family of random operators.

Plubtieng, Somyot, Kumam, Poom, Wangkeeree, Rabian (2007)

International Journal of Mathematics and Mathematical Sciences

Approximation of attainable sets of an evolution inclusion of subdifferential type.

Tolstonogov, A. A. (2003)

Sibirskij Matematicheskij Zhurnal

Approximation of common fixed points of a countable family of relatively nonexpansive mappings.

Boonchari, Daruni, Saejung, Satit (2010)

Fixed Point Theory and Applications [electronic only]

Approximation of common random fixed points of finite families of N-uniformly $L_{i}$ -Lipschitzian asymptotically hemicontractive random maps in Banach spaces.

Moore, Chika, Nnanwa, C.P., Ugwu, B.C. (2009)

Banach Journal of Mathematical Analysis [electronic only]

Approximation of common solutions to system of mixed equilibrium problems, variational inequality problem, and strict pseudo-contractive mappings.

Kumam, Poom, Jaiboon, Chaichana (2011)

Fixed Point Theory and Applications [electronic only]

Approximation of commutators of singular integrals

David Shreve (1976)

Studia Mathematica

Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices

Anne Monvel, Lech Zielinski (2014)

Open Mathematics

We consider an infinite Jacobi matrix with off-diagonal entries dominated by the diagonal entries going to infinity. The corresponding self-adjoint operator J has discrete spectrum and our purpose is to present results on the approximation of eigenvalues of J by eigenvalues of its finite submatrices.