Differential equations with non-densely defined operator coefficients, generating semigroups with singularities

Nonlinear Analysis, Theory, Methods and Applications

Volumn 36, Issue 3, 1999, Pages 345-352

  Silchenko, J T ^a  

^a VORONEZH STATE UNIVERSITY   (Russian Federation)

Author keywords

The Cauchy problem; The resolvent; The semigroup

Indexed keywords

BOUNDARY CONDITIONS; INITIAL VALUE PROBLEMS; INTEGRAL EQUATIONS; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

BANACH SPACE; CAUCHY PROBLEM; SEMIGROUPS;

DIFFERENTIAL EQUATIONS;

EID: 0033131017     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00003-0     Document Type: Article

References (7)

1. S.G. Krein, Linear Differential Equations in Banach Space, AMS, Providence, RI, 1971.
2. J.A. Goldstein, Semigroups of Operators and Applications, Oxford, New York, 1985.
3. S.J. Jakubov, Linear Differential-Operator Equations and Their Applications, Elm, Baku, 1985.
4. P.E. Sobolevskii, On differential equations with unbounded operators generating nonanalytic semigroups, Dokl. Akad. Nauk SSSR. 183 (1968) 292-295.
5. J.T. Silchenko, P.E. Sobolevskii, The Cauchy problem Solvability for evolution equation in Banach space with non-densely defined operator coefficient, generating the semigroup with peculiarity, Siberian Math. J. 27 (4) (1986) 93-104.
6. J.T. Silchenko, Evolutionary equations with non-densely defined operator coefficient, Siberian Math. J. 34 (2) (1993) 166-169.
7. J.T. Silchenko, The Cauchy problem solvability for the linear second order equation with non-densely defined operator coefficients, generating the semigroups with peculiarities, Higher Educational Institutions News. Math. 378 (11) (1993) 40-49.