Temat: functional stability - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Numerical approximations of parabolic functional differential equations on unbounded domains
Autorzy:: Baranowska, Anna
Powiązania:: https://bibliotekanauki.pl/articles/745298.pdf
Data publikacji:: 2007
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: functional differential equations
stability and convergence
nonlinear estimates of the Perron type
Opis:: The paper is concerned with initial problems for nonlinear parabolic functional differential equations. A general class of difference methods is constructed. A theorem on the error estimate of approximate solutions for difference functional equations of the Volterra type with an unknown function of several variables is presented. The convergence of explicit difference schemes is proved by means of consistency and stability arguments. It is assumed that given function satisfy nonlinear estimates of the Perron type with respect to a functional variable. Results obtained in the paper can be applied to differential integral problems and equations with retarded variables. Numerical examples are presented.
Źródło:: Commentationes Mathematicae; 2007, 47, 2
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On the Existence and Local Asymptotic Stability of Solutions of Fractional Order Integral Equations
Autorzy:: Abbas, Saı̈d
Benchohra, Mouffak
Powiązania:: https://bibliotekanauki.pl/articles/745463.pdf
Data publikacji:: 2012
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Functional integral equation
Left-sided mixed Riemann-Liouville integral of fractional order
Solution
Local asymptotic stability
Fixed point
Opis:: In this paper, we present some results concerning the existence and the local asymptotic stability of solutions for a functional integral equation of fractional order, by using some fixed point theorems.
Źródło:: Commentationes Mathematicae; 2012, 52, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Implicit difference methods for infinite systems of hyperbolic functional differential equations
Autorzy:: Szafrańska, Anna
Powiązania:: https://bibliotekanauki.pl/articles/745990.pdf
Data publikacji:: 2010
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: initial boundary value problems
difference functional equations
difference methods
stability and convergence
interpolating operators
nonlinear estimates of the Perron type
Opis:: The paper deal with classical solutions of initial boundary value problems for infinite systems of nonlinear differential functional equations. Two types of difference schemes are constructed. First we show that solutions of our differential problem can be approximated by solutions of infinite difference functional schemes. In the second part of the paper we proof that solutions of finite difference systems approximate the solutions of aur differential problem. We give a complete convergence analysis for both types of difference methods. We adopt nonlinear estimates of the Perron type for given functions with respect to the functional variable. The proof of the stability is based on the comparison technique. Numerical examples are presented.
Źródło:: Commentationes Mathematicae; 2010, 50, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Approximate homomorphisms and derivation in multi-Banach algebras
Autorzy:: Agarwal, Ravi P.
Cho, Yeol Je
Park, Choonkil
Saadati, Reza
Powiązania:: https://bibliotekanauki.pl/articles/1912850.pdf
Data publikacji:: 2011
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Additive functional equation
fixed point
homomorphism in multi-Banach algebra
generalized Hyers-Ulam stability
derivation on multi-Banach algebra
multi-normed space
Opis:: Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-Banach algebras and derivations on multi-Banach algebras for the additive functional equation \[ \sum_{i=1}^m f\left(mx_i+\sum_{j=1, j\not=i}^m x_j\right) + f\left(\sum_{i=1}^m x_i\right) = 2 f \left(\sum_{i=1}^{m} mx_i\right) \] for each \(m\in \mathbb{N}\) with \(m\geq 2\).
Źródło:: Commentationes Mathematicae; 2011, 51, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Matrices splitting the norm and their applications in the theory of stability of difference schemes
Autorzy:: Pokrzywa, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/747515.pdf
Data publikacji:: 1985
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Matrix norms, conditioning, scaling
Norms of matrices, numerical range, applications of functional analysis to matrix theory
Stability and convergence of difference methods
Opis:: .
In a finite-dimensional real or complex linear normed space X there are characterized all the sets of operators A1,...,An which sum up to the identity operator and such that ||Aix||+...+||Anx|=||x|| for all xX. An example of application in the theory of stability of difference schemes is given.
Źródło:: Mathematica Applicanda; 1985, 13, 26
1730-2668
2299-4009
Pojawia się w:: Mathematica Applicanda
Dostawca treści:: Biblioteka Nauki

Artykuł

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