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In this paper, by using the Leggett–Williams fixed point theorem, we establish an existence criterion for triple positive solutions of the nonlinear fourth-order two-point boundary value problem {u(4)(t)=g(t)f(t,u(t),u′(t)),t∈(0,1)u(0)=u′(1)=u″(0)=u‴(1)=0. An example is also included to demonstrate the result we obtained.
The authors study the existence and nonexistence of positive solutions to the three point boundary-values problem <fomulas 2> 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...
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