Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces

In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale. For this purpose, we introduce an equivalent integral operator to the SLBVP by means of Green’s function on an...

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Principais autores:	Yantir Ahmet, Kubiaczyk Ireneusz, Sikorska-Nowak Aneta
Formato:	Artigo
Idioma:	Inglês
Publicado em:	De Gruyter 2015-01-01
coleção:	Open Mathematics
Assuntos:	Sturm-Liouville equation Banach space Measure of noncompactness Carathéodory solutions Time scale
Acesso em linha:	http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0002/math-2015-0002.xml?format=INT
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