Measures of noncompactness for elements of C^*-algebras [PDF]
openaire +3 more sources
On the Construction of a Norm Associated with the Measure of Noncompactness [PDF]
It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of noncompactness corresponds to the norm in B(E).
Eisenfeld, Jerome +2 more
core
On a Nonlinear Integral Equation with Contractive Perturbation
We get an existence result for solutions to a nonlinear integral equation with contractive perturbation by means of Krasnoselskii's fixed point theorem and especially the theory of measure of weak noncompactness.
Zhu Huan
doaj
Remarks on the Istratescu measure of noncompactness
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay. [PDF]
Gou H, Li B.
europepmc +1 more source
On solutions of a Volterra integral equation with deviating arguments
In this article, we establish the existence and asymptotic characterization of solutions to a nonlinear Volterra integral equation with deviating arguments. Our proof is based on measure of noncompactness and the Schauder fixed point theorem.
M. Diana Julie, Krishnan Balachandran
doaj
The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System. [PDF]
Li Y, Wei X, Zhang Y.
europepmc +1 more source
Controllability of nonlinear differential evolution systems in a separable Banach space
In this article, we study the controllability of semilinear evolution differential systems with nonlocal initial conditions in a separable Banach space. The results are obtained by using Hausdorff measure of noncompactness and a new calculation method.
Bheeman Radhakrishnan +1 more
doaj
Machine learning assisted DSC-MRI radiomics as a tool for glioma classification by grade and mutation status. [PDF]
Sudre CH +28 more
europepmc +1 more source
Existence theory for nonlinear volterra integral and differential equations
In this paper we prove the existence theorems for the integrodifferential equation where in first part are functions with values in a Banach space and the integral is taken in the sense of Bochner. In second part are weakly–weakly sequentially
Sikorska Aneta
doaj

