In this case, we say that a(\*) is a lower solution for problem (2.1). The definition of an upper solution 13(\*) for problem (2.1) is given in a completely similar way, just reversing the above
Upper and lower solutions for a superlinear singular boundary value problem
โ Scribed by Daqing Jiang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 324 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0898-1221
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๐ SIMILAR VOLUMES
New existence results are presented for the second-order equation y" + f(t, y) = 0, 0 < t < 1 with Dirichlet or mixed boundary data. In our theory the nonlinearity f is allowed to change sign.
The singular boundary value problem is studied in this paper.The singularity may appear at t = 0 and the function g may be superlinear at u = โ and change sign. The existence of solutions is obtained via an upper and lower solutions method.
An upper and lower solution theory is presented for singular initial value problems. Our non-linear term may be singular in both the independent and dependent variable. Existence will be established using Schauder's "xed point theorem and the Arzela}Ascoli theorem.