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Solution to the Integrated Cauchy Functional Equation on the Whole Line

✍ Scribed by Ka-Sing Lau and C. Radhakrishna Rao

Book ID
120995108
Year
1984
Weight
576 KB
Volume
46
Category
Article
ISSN
0581-572X

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πŸ“œ SIMILAR VOLUMES

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## Abstract In this paper, some new observations concerning the problem of solving two or more integral equations of the type in Ramachandran, Gu and Lau (1988) and Rao and Shanbhag (1989b) are made by reducing it to the one of solving the integral equation of the type in Davies and Shanbhag (1987)

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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