论文信息 - Existence of positive solutions of Lidstone boundary value problems

Existence of positive solutions of Lidstone boundary value problems

Abstract We show that there exists at least one positive solution for Lidstone boundary value problem ( − 1 ) n u ( 2 n ) ( t ) = f ( t , u ( t ) , u ″ ( t ) , … , u ( 2 ( n − 1 ) ) ( t ) ) , 0 t 1 , u ( 2 i ) ( 0 ) = u ( 2 i ) ( 1 ) = 0 , i = 0 , 1 , … , n − 1 , under some suitable conditions. Our proof is based upon global bifurcation techniques.

Yuhong Ma

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