Semilinear integrodifferential equations with nonlocal Cauchy problem

Nonlinear Analysis, Theory, Methods and Applications

Volumn 26, Issue 5, 1996, Pages 1023-1033

  Lin, Yanping ^a   Liu, James H ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b JAMES MADISON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000500160     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00141-0     Document Type: Article

References (10)

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3. BYSZEWSKI L. & LAKSHMIKANTHAM V., Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space, Applic. Analysis 40, 11-19 (1990).
4. JACKSON D., Existence and uniqueness of solutions to semilinear nonlocal parabolic equations, J. math. Analysis Applic. 172, 256-265 (1993).
5. GRIPENBERG G., LONDEN S.-O. & STAFFANS O., Volterra Integral and Functional Equations, pp. 12-13. Cambridge University Press, Cambridge (1990).
6. GRIMMER R., Resolvent operators for integral equations in a Banach space, Trans. Am. math. Soc. 273, 333-349 (1982).
7. GRIMMER R. & LIU J., Liapunov - Razumikhin methods for integrodifferential equations in Hilbert space, in Delay and Differential Equations (Edited by A. FINK, R. MILLER and W. KLIEMANN), pp. 9-24. World Scientific, London (1992).
8. LIU J., Resolvent operators and weak solutions of integrodifferential equations, Diff. Integral Eqns, to appear.
9. BURTON T., Stability and Periodic Solutions of Ordinary Differential Equations and Functional Differential Equations. Academic Press, New York (1985).
10. BAINOV D. & SIMEONOV P., Integral Inequalities and Applications, pp. 1-2. Kluwer Academic Publishers, Boston (1992).