Abstract Volterra Stieltjes-integral equation
Conference
·
OSTI ID:6561531
The object of this work is to establish local existence of solutions to the abstract Volterra Stieltjes-integral equation u(t) = f(t) + integral/sub 0//sup t/d/sub s/K(t-s)integral/sub 0//sup s/g(s-r,u(r))dr, where K(t), t > 0, is a semigroup of bounded linear operators in a Banach space X and g is, in general, a nonlinear operator from R/sup +/ x X ..-->.. X. Many equations with physical applications can be written in the above form; in particular, this equation is used to establish local existence of solutions to a class of partial differential equations arising in the theory of heat flow in materials with memory. (RWR)
- Research Organization:
- Oak Ridge National Lab., TN (USA)
- DOE Contract Number:
- W-7405-ENG-26
- OSTI ID:
- 6561531
- Report Number(s):
- CONF-780838-1
- Country of Publication:
- United States
- Language:
- English
Similar Records
Regularity of solutions to an inhomogeneous differential equation in Banach space
Two mathematical problems related to the theory of combustion
Setting and solving several factorization problems for integral operators
Conference
·
Sun Dec 31 23:00:00 EST 1978
·
OSTI ID:6130617
Two mathematical problems related to the theory of combustion
Thesis/Dissertation
·
Thu Dec 31 23:00:00 EST 1981
·
OSTI ID:6010247
Setting and solving several factorization problems for integral operators
Journal Article
·
Sat Dec 30 23:00:00 EST 2000
· Sbornik. Mathematics
·
OSTI ID:21202988