Boundary value problems for partial functional differential equations

Samuel Murray Rankin, III

Vol. 90 (1980), No. 2, 459–468

DOI: 10.2140/pjm.1980.90.459

Abstract

Sufficient conditions are given to ensure the existence of solutions for the boundary value problem

(1)

It is assumed that T(t), t ≧ 0, is a strongly continuous semigroup of bounded linear operators on the Banach space B and T(t), t ≧ 0, has infinitesimal generator A. The function F is continuous from C to B and M and N are bounded linear operators defined on C.

Mathematical Subject Classification 2000

Primary: 34K10

Secondary: 45K05

Milestones

Received: 8 June 1977

Revised: 18 October 1978

Published: 1 October 1980