Keywords
- Integrable Function
- Representation Theorem
- Nonlinear Integral Equation
- Restricted Sense
- Real Anal
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References
A. Alexiewicz, Linear functionals on Denjoy integrable functions, Coll. Math. 1(1948) 289–293
V. G. Chelidze and A. G. Dzhvarsheishvili, Theory of the Denjoy integral and some of its applications (Russian), Tbilisi, 1978.
T.S. Chew, Nonlinear Henstock integrals and representation theorems, SEA Bull. Math. 12(1988), 97–108.
M. A. Kransnosel'skii, Topological methods in the theory of nonlinear integral equations (translation), Pergamon Press, New York, 1964.
P. Y. Lee and T. S. Chew, A short proof of the controlled convergence theorem for Henstock integrals, Bull. London Math. Soc. 19(1987) 60–62.
P. Y. Lee and T. S. Chew. a Riesz-type definition of the Denjoy integral, Real Anal. Exchange 11(1985/86) No. 1, 221–227.
K. C. Liao, A refinement of the controlled convergence theorem for Henstock integrals, SEA Bull. Math. 11(1987) 49–51.
W. L. C. Sargent, On the integrability of a product, J. London Math. Soc. 23(1948) 28–34.
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© 1990 Springer-Verlag
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Seng, C.T. (1990). The superposition operators in the space of Henstock-Kurzweil integrable functions. In: Bullen, P.S., Lee, P.Y., Mawhin, J.L., Muldowney, P., Pfeffer, W.F. (eds) New Integrals. Lecture Notes in Mathematics, vol 1419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083096
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DOI: https://doi.org/10.1007/BFb0083096
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