Results 111 to 120 of about 269 (133)

Existence of solution of infinite systems of inhomogeneous wave equations using Hausdorff measure of noncompactness

Advances in Operator Theory, 2020
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Anupam Das, Bipan Hazarika, M Mursaleen   +2 more
exaly   +3 more sources

Hausdorff measure of noncompactness in subspaces of continuous functions of codimension one

Nonlinear Analysis: Theory, Methods & Applications, 1995
The author establishes a formula for the Hausdorff measure of noncompactness in closed hyperplanes of the space \(C[a, b]\) of real-valued continuous functions on a compact interval \([a, b]\).
Andrzej Wisnicki
exaly   +2 more sources

Minimal sets for the Hausdorff measure of noncompactness and related coefficients

Nonlinear Analysis: Theory, Methods & Applications, 2001
Stanisław Prus
exaly   +3 more sources

Measure of noncompactness of matrix operators on some difference sequence spaces of weighted means

Computers and Mathematics With Applications, 2011
For a sequence x=(xk), we denote the difference sequence by Δx=(xk−xk−1). Let u=(uk)k=0∞ and v=(vk)k=0∞ be the sequences of real numbers such that uk≠0, vk≠0 for all k∈N.
M Mursaleen, Vatan Karakaya, Harun Polat   +2 more
exaly   +2 more sources

On sequence spaces defined by arithmetic function and Hausdorff measure of noncompactness

Rocky Mountain Journal of Mathematics, 2022
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Yaying, Taja, Saikia, Nipen
openaire   +1 more source

MAXIMAL NONCOMPACTNESS OF WIENER-HOPF OPERATORS [PDF]

Journal of Mathematical Sciences
Let $X(\mathbb{R})$ be a separable translation-invariant Banachfunction space and $a$ be a Fourier multiplier on $X(\mathbb{R})$. We provethat the Wiener-Hopf operator $W(a)$ with symbol $a$ is maximally noncompacton the space $X(\mathbb{R}_+)$, that is,
Alexei Yu Karlovich, Eugene Shargorodsky   +1 more
exaly   +2 more sources

RETRACTED: The Hausdorff measure of noncompactness for some matrix operators

Nonlinear Analysis: Theory, Methods & Applications, 2013
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Mohiuddine, S. A., Mursaleen, M., Alotaibi, A.   +2 more
openaire   +2 more sources

On some measures of noncompactness in the space of continuous functions

Nonlinear Analysis: Theory, Methods & Applications, 2008
We consider some quantities in the space of functions continuous on a bounded interval, which are related to monotonicity of functions. Based on those quantities we construct a few measures of noncompactness in the mentioned function space.
Józef Banas, Kishin Sadarangani
exaly   +2 more sources

Retraction notice to: ``The Hausdorff measure of noncompactness for some matrix operators''

Nonlinear Analysis: Theory, Methods & Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohiuddine, S. A., Mursaleen, M., Alotaibi, A.   +2 more
openaire   +3 more sources

The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly \(C_{1}\) summable and bounded sequences

Appl. Math. Comput., 2010
Let \(\omega \) be the space of all complex sequences \(x=\left( x_{k}\right) _{k=1}^{\infty }\), \(A=\left( a_{nk}\right) _{n,k=1}^{\infty }\) be an infinite matrix of complex numbers and \(X\) a subset of \(\omega\). The set \[ X_{A}=\left\{ x\in \omega :Ax=\sum_{k=1}^\infty a_{nk} {x_{k}}\in X\right\} \] is called the matrix domain of \(A\) in \(X\).
Ivana Djolovic, Eberhard Malkowsky
openaire   +3 more sources