Positive Solutions for a Second-Order p -Laplacian Boundary Value Problem with Impulsive Effects and Two Parameters
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-18
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The author considers an impulsive boundary value problem involving the one-dimensional p-Laplacian - ( φ p ( u ′ ) ) ′ = λ ω t f t , u , 0 < t < 1 , t ≠ t k , Δ u | t = t k = μ I k t k , u t k , Δ u ′ | t = t k = 0 , k = 1,2 , … , n , a u ( 0 ) - b u ′ ( 0 ) = ∫ 0 1 g ( t ) u ( t ) d t , u ′ ( 1 ) = 0 , where λ > 0 and μ > 0 are two parameters.
Using fixed point theories, several new and more general existence and multiplicity results are derived in terms of different values of λ > 0 and μ > 0 .
The exact upper and lower bounds for these positive solutions are also given.
Moreover, the approach to deal with the impulsive term is different from earlier approaches.
In this paper, our results cover equations without impulsive effects and are compared with some recent results by Ding and Wang.
American Psychological Association (APA)
Feng, Meiqiang. 2014. Positive Solutions for a Second-Order p -Laplacian Boundary Value Problem with Impulsive Effects and Two Parameters. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1014179
Modern Language Association (MLA)
Feng, Meiqiang. Positive Solutions for a Second-Order p -Laplacian Boundary Value Problem with Impulsive Effects and Two Parameters. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1014179
American Medical Association (AMA)
Feng, Meiqiang. Positive Solutions for a Second-Order p -Laplacian Boundary Value Problem with Impulsive Effects and Two Parameters. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1014179
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014179