Perturbations of solutions of Stieltjes integral equations
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- by David Lowell Lovelady PDF
- Trans. Amer. Math. Soc. 155 (1971), 175-187 Request permission
Abstract:
Using multiplicative integration in two ways, formulae for solutions to perturbed Stieltjes integral equations are found in terms of unperturbed solutions. These formulae are used to obtain bounds on the difference between the perturbed solution and the unperturbed solution. The formulae are also used to explicitly solve, in terms of product integrals, a linear equation subject to nonlinear interface conditions.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 155 (1971), 175-187
- MSC: Primary 45L05
- DOI: https://doi.org/10.1090/S0002-9947-1971-0433175-5
- MathSciNet review: 0433175