Positive Solutions for Sturm‐Liouville Boundary Value Problems in a Banach Space | Zendy

Hua Su | Zendy; Lishan Liu | Zendy; Yonghong Wu | Zendy

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Positive Solutions for Sturm‐Liouville Boundary Value Problems in a Banach Space

Author(s) -

Hua Su,

Lishan Liu,

Yonghong Wu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/572172

Subject(s) - mathematics , sturm–liouville theory , banach space , boundary value problem , mathematical analysis , pure mathematics , space (punctuation) , value (mathematics) , statistics , philosophy , linguistics

We consider the existence of single and multiple positive solutions for a second-order Sturm-Liouville boundary value problem in a Banach space. The sufficient condition for the existence of positive solution is obtained by the fixed point theorem of strict set contraction operators in the frame of the ODE technique. Our results significantly extend and improve many known results including singular and nonsingular cases

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