Positive Solutions for a Singular Superlinear Fourth-Order Equation with Nonlinear Boundary Conditions
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-28
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We show the existence of positive solutions for a singular superlinear fourth-order equation with nonlinear boundary conditions.
u⁗x=λhxfux, x∈0,1,u0=u′0=0,u″1=0, u⁗1+cu1u1=0, where λ > 0 is a small positive parameter, f:0,∞⟶ℝ is continuous, superlinear at ∞, and is allowed to be singular at 0, and h: [0, 1] ⟶ [0, ∞) is continuous.
Our approach is based on the fixed-point result of Krasnoselskii type in a Banach space.
American Psychological Association (APA)
Yan, Dongliang. 2020. Positive Solutions for a Singular Superlinear Fourth-Order Equation with Nonlinear Boundary Conditions. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185767
Modern Language Association (MLA)
Yan, Dongliang. Positive Solutions for a Singular Superlinear Fourth-Order Equation with Nonlinear Boundary Conditions. Journal of Function Spaces No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1185767
American Medical Association (AMA)
Yan, Dongliang. Positive Solutions for a Singular Superlinear Fourth-Order Equation with Nonlinear Boundary Conditions. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185767
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185767
