Title :
Positive solutions of singular nonlinear boundary value problems for 2n order
Author_Institution :
Coll. of Sci., Liaoning Univ. of Technol., Jinzhou, China
fDate :
June 30 2012-July 2 2012
Abstract :
In this paper, we study two 2n-order singular nonlinear boundary value problems, where the nonlinear items may be singular at t=0 and t=1. By applying fixed-point index theorem in cones and the significant eigenvalue indexes, we prove existence of positive solutions. The results that we have obtained popularize and include some known results.
Keywords :
boundary-value problems; eigenvalues and eigenfunctions; 2n-order singular nonlinear boundary value problems; eigenvalue index; fixed-point index theorem; nonlinear items; positive solutions; Boundary value problems; Differential equations; Educational institutions; Eigenvalues and eigenfunctions; Equations; Indexes; boundary value problem; fixed-point index; positive solution; singular;
Conference_Titel :
System Science and Engineering (ICSSE), 2012 International Conference on
Conference_Location :
Dalian, Liaoning
Print_ISBN :
978-1-4673-0944-8
Electronic_ISBN :
978-1-4673-0943-1
DOI :
10.1109/ICSSE.2012.6257234
