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On a class of semipositone discrete boundary value problems

✍ Scribed by Guoqing Zhang; Sanyang Liu


Book ID
108175464
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
120 KB
Volume
325
Category
Article
ISSN
0022-247X

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✍ S. StanΔ›k πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 571 KB

The paper presents sufficient conditions for the existence of positive solutions to the singular boundary value problem I" = pq(t)f(t, z,z'), W(O) -&T'(O) = a > 0, z(T) = 0 with q > 0 on (O,T), f 2 0 on a suitable subset of (O,T] x (0,oo) x R which may be singular at z = 0 and where either a, p E (0

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✍ Abdulkadir Dogan; John R. Graef; Lingju Kong πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 347 KB

The authors obtain some existence criteria for positive solutions of a higher order semipositone multi-point boundary value problem on a time scale. Applications to some special problems are also discussed. This work extends and complements many results in the literature on this topic.