An Abstract Nonlinear Volterra Integrodifferential Equation.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The nonlinear Volterra equation was studied as well as the corresponding problem with infinite delay. Under various assumptions on the nonlinear operators A, B and on the given functions a, F, f, h existence theorems are obtained for nonlinear volterra equation and nonlinear volterra equation with infinite delay, followed by results concerning boundedness and asymptotic behavior of solutions on 0 less than or equal to t less than infinity two applications of the theory to problems of nonlinear heat flow with infinite memory are also discussed.
- Numerical Mathematics