IJPAM: Volume 4, No. 3 (2003)
ON THE SOLVABILITY OF THE CAUCHY PROBLEM
FOR SOME CLASSES OF EVOLUTION EQUATIONS
WITH NON-DENSELY DEFINED OPERATOR
COEFFICIENTS
FOR SOME CLASSES OF EVOLUTION EQUATIONS
WITH NON-DENSELY DEFINED OPERATOR
COEFFICIENTS
M.K. BalaevDepartment of Mathematics, Faculty of Science and Arts, Cumhuriyet University, 58140, Sivas, TURKEY
Department of Mathematics
Faculty of Science and Arts
Cumhuriyet University
58140, Sivas, TURKEY
and
Institute of Mathematics and Mechanics
Azerbaijan Academy of Science
Baku, AZERBAIJAN
Department of Mathematics
Faculty of Science and Arts
Cumhuriyet University
58140, Sivas, TURKEY
and
Institute of Mathematics and Mechanics
Azerbaijan Academy of Science
Baku, AZERBAIJAN
Abstract.In this paper we describe some classes of arbitrary order evolution equations in a Banach space with linear unbounded non-densely defined operator coefficients, for which the Cauchy problem is well-posed solvable.
Received: November 12, 2002
AMS Subject Classification: 34K30, 35J25, 47D06
Key Words and Phrases: differential-operator equations, Cauchy problem, analytic semigroups, well-posed solvability
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 4
Issue: 3
