Solvability of ( k , n - k ) Conjugate Boundary Value Problems with Integral Boundary Conditions at Resonance
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-31
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We investigate a ( k , n - k ) conjugate boundary value problem with integral boundary conditions.
By using Mawhin continuation theorem, we study the solvability of this boundary value problem at resonance.
It is shown that the boundary value problem ( - 1 ) n - k φ ( n ) ( x ) = f x , φ x , φ ′ x , … , φ ( n - 1 ) ( x ) , x ∈ [ 0,1 ] , φ ( i ) ( 0 ) = φ ( j ) ( 1 ) = 0 , 1 ≤ i ≤ k - 1 , 0 ≤ j ≤ n - k - 1 , φ ( 0 ) = ∫ 0 1 φ ( x ) d A ( x ) has at least one solution under some suitable conditions.
American Psychological Association (APA)
Sun, Qiao& Cui, Yujun. 2016. Solvability of ( k , n - k ) Conjugate Boundary Value Problems with Integral Boundary Conditions at Resonance. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108588
Modern Language Association (MLA)
Sun, Qiao& Cui, Yujun. Solvability of ( k , n - k ) Conjugate Boundary Value Problems with Integral Boundary Conditions at Resonance. Journal of Function Spaces No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1108588
American Medical Association (AMA)
Sun, Qiao& Cui, Yujun. Solvability of ( k , n - k ) Conjugate Boundary Value Problems with Integral Boundary Conditions at Resonance. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108588
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108588