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Positive solutions of singular Dirichlet and periodic boundary value problems

✍ Scribed by S. Staněk

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
748 KB
Volume
43
Category
Article
ISSN
0898-1221

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✦ Synopsis

A and T be positive numbers. The singular differential equation (T(I)=')' = pq(t)f(t,r) is considered. Here T > 0 on (0, A] may be singular at I = 0, and f(t,~) < 0 may be singular at I = 0 and I = A. Effective sufficient conditions imposed on T, p, q, and f are given for the existence of a solution I to the above equation satisfying either the Dirichlet conditions r(O) = Z(T) = 0 or the periodic conditions z(O) = r(T), Z'(O) = z'(T), and, in addition, 0 < z < A on (0,T).

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