Existence of weak solutions for a boundary value problem of a second order ordinary differential equation
Abstract 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 s...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-01-01
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Series: | Boundary Value Problems |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13661-018-0929-7 |
Summary: | Abstract 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. |
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ISSN: | 1687-2770 |