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https://scholarbank.nus.edu.sg/handle/10635/104293
| Title: | The existence of positive solutions for the Sturm-Liouville boundary value problems | Authors: | Agarwal, R.P. Hong, H.-L. Yeh, C.-C. |
Keywords: | Cone Fixed point theorem Sturm-Liouville boundary value problem |
Issue Date: | May-1998 | Citation: | Agarwal, R.P.,Hong, H.-L.,Yeh, C.-C. (1998-05). The existence of positive solutions for the Sturm-Liouville boundary value problems. Computers and Mathematics with Applications 35 (9) : 89-96. ScholarBank@NUS Repository. | Abstract: | For the Sturm-Liouville boundary value problem (p(t)u′(t))′ + λf(t, u(t)) = 0, 0 < t < 1, α1u(0) - β1p(0)u′(0) = 0, (BVP) α2u(1) + β2p(1)u′(1) = 0, where λ > 0, we shall use a fixed point theorem in a cone to obtain the existence of positive solutions for λ on a suitable interval. | Source Title: | Computers and Mathematics with Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/104293 | ISSN: | 08981221 |
| Appears in Collections: | Staff Publications |
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