Title

Positive Solutions of Singular Complementary Lidstone Boundary Value Problems

Authors

Ravi P. Agarwal
Donal O'Regan
Svatoslav Staněk

Document Type

Article

Publication Title

Boundary Value Problems

Abstract

We investigate the existence of positive solutions of singular problem (-1)mx(2m+1) = f(t, x,⋯, x(2m)), x (0) = 0, x(2i-1) (0) = x(2i-1) (T) = 0, 1 ≤ i ≤ m. Here, m ≥ 1 and the Carathéodory function f (t, x0,⋯, x2m) may be singular in all its space variables x0,⋯, x2m. The results are proved by regularization and sequential techniques. In limit processes, the Vitali convergence theorem is used.

DOI

10.1155/2010/368169

Publication Date

12-2-2010

Recommended Citation

Agarwal, R. P., O'Regan, D., & Staněk, S. (2010). Positive solutions of singular complementary lidstone boundary value problems. Boundary Value Problems, 2010(1), 368169.