Measures of noncompactness in the study of solutions of nonlinear differential and integral equations
By Józef Banas. 2012
72 citations recorded by the source corpus.
The aim of this paper is to make an overview of some existence results for nonlinear differential and integral equations. Those results were obtained by the author and his co-workers during last years with some help of the technique of measures of noncompactness and a fixed point theorem of Darbo type.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/10df01adc99874b679083e47bbc74640aeb79312
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Measures of noncompactness and some applications (2013, background): “Applications of measures of noncompactness to differential and integral equations can be found, for instance, in [1,9,11,12,46,54], to fractional partial differential equations in [4], to the characterizations of compact operators between Banach spaces in [14,17–22,34–44,47–50].”