We consider the following boundary value problem, where n \_> 2, 1 \_< p \_< n-1 is fixed and T is a time scale. Criteria for the existence of single, double, and multiple positive solutions of the boundary value problem are developed. Upper and lower bounds for these positive solutions are establi
Multiple positive solutions of two-point right focal boundary value problems
โ Scribed by P.J.Y. Wong; R.P. Agarwal
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 590 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0895-7177
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โฆ Synopsis
consider the following boundary value problem:
y(')(O) = 0, o<i<p-1, y(')(l) = 0, p<i<_n-1, where 1 < p 5 n -1 is fixed. Using a fixed point theorem for operator0 on a cone, we offer eufflcient conditione for the existence of multiple (at least three) positive eolutions of the boundary value problem. An example is also included to dwell upon the importance of the result obtained.
๐ SIMILAR VOLUMES
We improve the results obtained by Erbe, Hu, and Wang in a recent paper. We show that there exist at least two positive solutions of two-point boundary value problems under conditions weaker than those used by Erbe, Hu, and Wang.
We consider the following boundary value problem, whcre n \_> 2, 1 \_< p \_< n -1 is fixed and T is a time scale. By applying fixed-point theorems for operators on a cone, existence criteria are developed for triple positive solutions of the boundary value problem. We also include examples to illus
In this paper, we are concerned with the third order two-point generalized right focal boundary value problem A few new results are given for the existence of at least one, two, three and infinitely many monotone positive solutions of the above boundary value problem by using the Krasnosel'skii fix