International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 3, Pages 571-578
doi:10.1155/S016117129500072X

Singular boundary value problems for quasi-differential equations

Paul W. Eloe1 and Johnny Henderson2

1Department of Mathematics, University of Dayton, Dayton, Ohio 45469, USA
 2Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology, Atlanta 30332, Georgia

Abstract

Solutions are obtained of boundary value problems for Lny+f(x,L0y,…,Ln−2y), satisfying L2y(0)=Ln−1y(1)=0, 0≤i≤n−2, where Li, denotes the ith quasiderivative, and where f(x,y1,…,yn−1) has singularities at yi=0, 1≤i≤n−1.