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Positive nonlinear integral equations with reciprocals of the solution in the integrand

✍ Scribed by Terry J. Walters; G.Edgar Parker


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
618 KB
Volume
5
Category
Article
ISSN
0362-546X

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Positive solutions to a nonlinear abel-t
✍ W. Mydlarczyk; W. OkrasiΕ„ski πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 449 KB

consider the existence of positive solutions to the nonlinear integral equation / 5 U(Z) = Jl: -sY'&(s)) ds, (x E R, a 2 1)s where g is a continuous, nondecreasing function such that g(0) = 0. We show that the equation always has nontrivial solutions and we give a necessary and sufficient condition