Entire solutions of higher order abstract cauchy problems

Journal of Mathematical Analysis and Applications

Volumn 208, Issue 2, 1997, Pages 298-310

  Tijun, Xiao ^a   Jin, Liang ^b  

^a Yunnan Teachers University   (China)

^b KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; SET THEORY;

ABSTRACT CAUCHY PROBLEMS; HIGHER ORDER DIFFERENTIAL EQUATIONS; LINEAR OPERATORS;

DIFFERENTIAL EQUATIONS;

EID: 0031108563     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5266     Document Type: Article

References (14)

1. Crandall M. G., Pazy A., Tartar L. Remarks on generators of analytic semigroups. Israel J. Math. 32:1979;363-374.
2. deLaubenfels R. Entire solutions of abstract Cauchy problem. Semigroup Forum. 42:1991;83-105.
3. Fattorini H. O. Second Order Linear Differential Equations in Banach Spaces. 1985;Elsevier Science, Amsterdam.
4. Fattorini H. O. The Cauchy Problem. Encyclopedia Math. Appl. 18:1983;Addison-Wesley, Reaching.
5. Favini A., Obrecht E. Conditions for parabolicity of second order abstract differential equations. Differential Integral Equations. 4:1991;1005-1020.
6. Goldstein J. A. Semigroups of Linear Operators and Applications. 1985;Oxford, New York.
7. Hille E. Representation of one-parameter semi-groups of linear transformations. Proc. Nat. Acad. Sci. 28:1942;175-178.
8. Kato T. A characterization of holomorphic semi-groups. Proc. Amer. Math. Soc. 25:1970;495-498.
9. Obrecht E. Sul problema di Cauchy per leequazioni paraboliche astratte di ordinen. Rend. Sem. Mat. Uni. Padova. 53:1975;231-256.
10. Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. 1983;Springer-Verlag, New York.
11. Xiao T. J., Liang J. The Cauchy problem for higher order abstract differential equations in Banach spaces (Abstract). J. Yunnan Teachers' Uni. 11:1991;98-100.
12. Xio (Xiao) T. J., Liang J. Analyticity of the propagators of second order linear differential equations in Banach spaces. Semigroup Forum. 44:1992;356-363.
13. Xiao T. J., Liang J. The Cauchy problem for higher order abstract differential equations in Banach spaces. Chinese J. Contemporary Math. 14:1994;305-321.
14. Xio (Xiao) T. J., Liang J. Parabolicity of a class of higher order abstract differential equations. Proc. Amer. Math. Soc. 120:1994;173-181.