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Triple positive solutions of a boundary value problem for nonlinear singular second-order differential equations of mixed type with -Laplacian

โœ Scribed by Debin Kong; Lishan Liu; Yonghong Wu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
485 KB
Volume
58
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, we establish the existence of triple positive solutions of a two-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with a p-Laplacian operator. We also demonstrate that the results obtained can be applied to study certain higher order mixed boundary value problems. Finally, an example is given to demonstrate the use of the main results of this paper.

๐Ÿ“œ SIMILAR VOLUMES

Positive solutions of singular three-poi
Positive solutions of singular three-point boundary value problems for second-order differential equations
โœ Yan Sun; Lishan Liu; Jizhou Zhang; R.P. Agarwal ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 701 KB

In this paper, we study the existence of positive solutions of a singular three-point boundary value problem for the following second-order differential equation By constructing an available integral operator and combining fixed point index theory with properties of Green's function under some cond