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The existence of solutions to second-order singular boundary value problems |
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| Authors: | Nicholas Fewster-Young Christopher C. Tisdell |
| Affiliation: | School of Mathematics and Statistics, The University of New South Wales, UNSW Sydney NSW 2052, Australia |
| Abstract: | This article analyzes qualitative properties of solutions to two-point boundary value problems for singular ordinary differential equations. In particular, we form new approaches that ensure that all possible solutions satisfy certain a priori bounds. The methods involve differential inequalities. |
| Keywords: | a priori bounds Singular boundary value problem Existence of solutions Thomas&ndash Fermi equation Differential inequalities Topological methods |
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