Positive solutions for singular third-order nonhomogeneous boundary value problems with nonlocal boundary conditions

Authors:
Ping Kang
Affiliations:
Department of Mathematics, Tianjin Polytechnic University, Hedong District,, Tianjin, People's Republic of China
Venue:
WSEAS Transactions on Mathematics
Year:
2011

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Abstract

Under various weaker conditions, we establish various results on the existence and nonexistence of positive solutions for singular third-order nonhomogeneous boundary value problems with nonlocal boundary conditions. The arguments are based upon the fixed point theorem of cone expansion and compression. Finally, we give two examples to demonstrate our results.