Accession Number:

ADA034483

Title:

An Abstract Nonlinear Volterra Integrodifferential Equation.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Report Date:

1976-09-01

Pagination or Media Count:

57.0

Abstract:

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.

Subject Categories:

  • Numerical Mathematics
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE