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Existence and nonexistence of positive solutions for nonlinear three-point boundary-value problems

Yuji L., Weigao G.

Fasciculi Mathematici

2004

Nr 34

157-167

The authors study the existence and nonexistence of positive solutions to the three point boundary-values problem where 0 < Mi < 1 and Beta > 0, a > 0, A > 0. Different conditions for the problem (E) - (B) to hve at least one or two positive solutions and sufficient conditions for this problem to have no positive solutions are given, by applying a new Green's function of three point value problem.

Oscillation properties for certain hyperbolic equations with distributed arguments

Peiguang W., Weigao G.

Demonstratio Mathematica

2000

Vol. 33, nr 1

83-89