Extension and behavior at infinity of solutions of certain linear operational differential equations

Hector O. Fattorini

Vol. 33 (1970), No. 3, 583–615

DOI: 10.2140/pjm.1970.33.583

Abstract

We consider the linear differential equation u′′ + Bu′ + Au = 0 with coefficients A,B unbounded operators in a Banach space E. Under the assumption that the Cauchy problem for it is well posed in a suitable sense, continuation and behavior at infinity of solutions are studied.

Mathematical Subject Classification

Primary: 34.95

Secondary: 34.50

Milestones

Received: 4 March 1969

Published: 1 June 1970