A theorem of existence of the solution of a nonlinear Volterra integral equation is formulated. For constructing the solution it is proposed to use a variant of the collocation method which makes it possible to find the solution with a predetermined maximum residual.
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I. E. Troyanovskii, Mekhan. Polim., No. 6, 1115 (1973).
Moscow Institute of Electronic Machine Building. Translated from Mekhanika Polimerov, No. 3, p. 529, May–June, 1974.
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Troyanovskii, I.E. A method of solving nonlinear integral equations of viscoelasticity. Polymer Mechanics 10, 446 (1974). https://doi.org/10.1007/BF00865607
- Integral Equation
- Collocation Method
- Volterra Integral Equation
- Nonlinear Integral Equation
- Nonlinear Volterra Integral Equation