J4 ›› 2008, Vol. 43 ›› Issue (5): 66-70 .doi:
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XU Ling
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The methods of lower and upper solutions for a second order three-point boundary value problem at resonance u″(t)=f(t, u(t), u′(t)), t∈[0, 1], u′(0)=0, u(1)=u(η) were developed by using the connectivity properties of the solution sets of parameterized families of compact vector fields, where η∈(0, 1), f:[0, 1]×R2→R is continuous and satisfies the Nagumo condition.
Key words: connected sets; lower and upper solutions; resonance; existence
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XU Ling . Methods of lower and upper solutions and the solvability of a three-point boundary value problem at resonance[J].J4, 2008, 43(5): 66-70 .
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