An Extension of Darbo’s Theorem and Its Application
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Here, some extensions of Darbo fixed point theorem associated with measures of noncompactness are proved.
Then, as an application, our attention is focused on the existence of solutions of the integral equation x ( t ) = F ( t , f ( t , x ( α 1 ( t ) ) , x ( α 2 ( t ) ) ) , ( ( T x ) ( t ) / Γ ( α ) ) × ∫ 0 t ( u ( t , s , max [ 0 , r ( s ) ] | x ( γ 1 ( τ ) ) | , max [ 0 , r ( s ) ] | x ( γ 2 ( τ ) ) | ) / ( t - s ) 1 - α ) d s , ∫ 0 ∞ v ( t , s , x ( t ) ) d s ) , 0 < α ≤ 1 , t ∈ [ 0,1 ] in the space of real functions defined and continuous on the interval [ 0,1 ] .
American Psychological Association (APA)
Samadi, A.& Ghaemi, M. B.. 2014. An Extension of Darbo’s Theorem and Its Application. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014904
Modern Language Association (MLA)
Samadi, A.& Ghaemi, M. B.. An Extension of Darbo’s Theorem and Its Application. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1014904
American Medical Association (AMA)
Samadi, A.& Ghaemi, M. B.. An Extension of Darbo’s Theorem and Its Application. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014904
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014904