Keywords
- Integral Equation
- Linear Operator
- Closed Operator
- Integrodifferential Equation
- Analytic Semigroup
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References
G. Chen and R. Grimmer: Semigroups and integral equations, J. Integral Equations 2(1980), 133–154.
G. Da Prato and P. Grisvard: Sommes d'operateurs lineaires et equations differentialles operationalles, J. Math. pures et appl. 54(1975), 305–387.
G. Da Prato and M. Iannelli: Linear integro-differential equations in Banach spaces, Rend. Sem. Mat. Univ. Padova 62(1980), 207–219.
G. Da Prato, M. Iannelli and E. Sinestrari: Regularity of solutions of a class of linear integrodifferential equations in Banach spaces, J. Integral Equations 8(1985), 27–40.
W. Desch and W. Schappacher: The semigroup approach to integrodifferential equations, to appear.
G. Doetsch: Introduction to the theory and application of the Laplace transformation, Springer-Verlag, Berlin (1970).
R. Grimmer and A. Pritchard: Analitic resolvent operators for integral equations in Banach space, J. Differential Equations 50(1983), 234–254.
R. Grimmer and J. Pruss: On linear Volterra Equations in Banach spaces, Int. J. Comp. and Appl. Math. (to appear).
E. Hille and R.S. Phillips: Functional analysis and semigroups, American Mathematical Society, Providence (1957).
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© 1986 Springer-Verlag
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Pugliese, A. (1986). Some questions on the integrodifferential equation u′=AK*u+BM*u. In: Favini, A., Obrecht, E. (eds) Differential Equations in Banach Spaces. Lecture Notes in Mathematics, vol 1223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099196
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DOI: https://doi.org/10.1007/BFb0099196
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