Existence of weak solutions for a boundary value problem of a second order ordinary differential equation

The aim of this paper is to investigate the existence of weak solutions for a boundary value problem of a second order differential equation. As the main tool, we apply a Krasnosel’skii type fixed point theorem in conjunction with the technique of measures of weak noncompactness in Banach spaces. Fi...

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Veröffentlicht in:	Boundary value problems 2018-01, Vol.2018 (1), p.1-11, Article 9
Hauptverfasser:	Weng, Shiyou, Wang, Fuli
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximations and Expansions boundary value problem Difference and Functional Equations Mathematics Mathematics and Statistics measure of weak noncompactness Ordinary Differential Equations Partial Differential Equations quadratic integral equation
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Zusammenfassung:	The aim of this paper is to investigate the existence of weak solutions for a boundary value problem of a second order differential equation. As the main tool, we apply a Krasnosel’skii type fixed point theorem in conjunction with the technique of measures of weak noncompactness in Banach spaces. Finally, two examples are given to illustrate our abstract results.
ISSN:	1687-2770 1687-2770
DOI:	10.1186/s13661-018-0929-7