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Existence of Solutions to a Singular Initial Value Problem

✍ Scribed by R. P. Agarwal; P. S. Kelevedjiev


Book ID
106278123
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2007
Tongue
English
Weight
162 KB
Volume
23
Category
Article
ISSN
1439-7617

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The existence of positive solutions to a
✍ Donal O'Regan; Svatoslav StanΔ›k πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 125 KB πŸ‘ 1 views

## Abstract We consider the non‐local singular boundary value problem where __q__ ∈ __C__^0^([0,1]) and __f__, __h__ ∈ __C__^0^((0,∞)), lim__f__(__x__)=βˆ’βˆž, lim__h__(__x__)=∞. We present conditions guaranteeing the existence of a solution __x__ ∈ __C__^1^([0,1]) ∩ __C__^2^((0,1]) which is positive