IJPAM: Volume 4, No. 3 (2003)
ON THE SOLVABILITY OF EVOLUTION
EQUATIONS WITH VARIABLE
OPERATOR COEFFICIENTS
EQUATIONS WITH VARIABLE
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 study nonlinear (linear) evolution equations in a Banach space with linear unbounded nondensely defined operator cofficients, for which the Cauchy problem is well-posed solvable.
Received: November 12, 2002
AMS Subject Classification: 34K30, 34G20, 35J25, 47D06
Key Words and Phrases: evoluations 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
