Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures
The existence and uniqueness of the solutions to the Dirichlet boundary value problem in the Banach spaces is discussed by using the fixed point theory of condensing mapping, doing precise computation of measure of noncompactness, and calculating the spectral radius of linear operator.
Saved in:
Main Authors: | Wen-Xue Zhou, Jigen Peng |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
|
Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2012/786404 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems
by: Yongxiang Li, et al.
Published: (2015-01-01) -
Existence of Nontrivial Solutions for Some Second-Order Multipoint Boundary Value Problems
by: Hongyu Li, et al.
Published: (2018-01-01) -
The Existence and Multiplicity of Positive Solutions for Second-Order Periodic Boundary Value Problem
by: Feng Wang, et al.
Published: (2012-01-01) -
Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition
by: Assia Guezane-Lakoud, et al.
Published: (2012-01-01) -
Necessary and Sufficient Condition for the Existence of Solutions to a Discrete Second-Order Boundary Value Problem
by: Chenghua Gao
Published: (2012-01-01)