Measures of noncompactness in the study of solutions of nonlinear differential and integral equations

• Autorzy: Józef Banaś
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Banach space; Compact set; Fixed point theorem; Measure of noncompactness; Integral equation; Integral equation of fractional order; Differential equation; Infinite system of ordinary differential equations

Kategorie tematyczne

• 47H08: Measures of noncompactness and condensing mappings, K -set contractions, etc.

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 6
• Strony: 2003-2011

Daty

wydano

2012-12-01

online

2012-10-12

Twórcy

autor

Józef Banaś

• Department of Mathematics, Rzeszów University of Technology, Powstańców Warszawy 8, 35-959, Rzeszów, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0120-9