Muliple Positive Solutions of Fourth Order Singular Differential Equation with Boundary Counditions

journal6 ›› 2009, Vol. 30 ›› Issue (3): 11-16.

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Muliple Positive Solutions of Fourth Order Singular Differential Equation with Boundary Counditions

(1.Deparment of Mathematics,Linyi Normal University,Linyi 276005,Shandong China;2.College of Mathematics Science,Qufu Normal University,Qufu 273165,Shandong China;3.Yanzhou Campus of Qufu Normal School,Yanzhou 272100,Shandong China)

Online:2009-05-25 Published:2012-04-23

Abstract

Abstract: By using the fixed point index theory,the author discusses the existence of positive and mutiple positive solutions of fourth order singular differential equation with boundary counditions,and obtains the results with the operator equation x(t)=λ Ax(t),when λ in some interval.The results significantly extend and improve many known results even for non-singular cases.

Key words: singular boundary value problem, fixed point index, mutiple positive solutions, cone

WANG Ying, SUN Qin-Fu, LI Cui-Lan. Muliple Positive Solutions of Fourth Order Singular Differential Equation with Boundary Counditions[J]. journal6, 2009, 30(3): 11-16.

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Muliple Positive Solutions of Fourth Order Singular Differential Equation with Boundary Counditions

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