MR0540397 Miller, Richard K. and Wheeler, Robert L. Richard K. MILLER and Robert L. WHEELER Well-posedness and stability of linear Volterra integro-differential equations in abstract spaces Fako de l'Funkcialaj Ekvacioj Japana Matematika Societo. Funkcialaj Ekvaciog. Serio Internacia 21 1978 279--305 http://fe.math.kobe-u.ac.jp/FE/Free/vol21/fe21-3-8.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE21-30-en_KML/fe21-279-305/fe21-279-305.pdf http://www.ams.org/mathscinet-getitem?mr=MR0540397 fe21-279-305 1978 Well-Posedness and Stability of Linear Volterra Integrodifferential Equations in Abstract Spaces MILLER, Richard K.; WHEELER, Robert L. MILLER, Richard K.; WHEELER, Robert L.
1 Coleman, B. D.; Gurtin, M. E. Equipresence and constitutive equations for rigid heat conductors Z. Angew. Math. Phys. 18 1967 199-208 MR0214334 100 Cache/Co/Coleman,Equipresence,Z*,1967,1968
2 Dafermos, C. M. Asymptotic stability in viscoelasticity Arch. Rational Mech. Anal. 37 1970 297-308 MR0281400 Cache/Da/Dafermcs,viscoelasticity,Arch*,1970,1971
3 Fattorini, H. O. Ordinary differential equations in linear topological spaces, I J. Differential Equations 5 1968 72-105 MR0277860 100 Cache/Fa/Fattorini,Ordinary,J*,1968,1969
4 Fattorini, H. O. Ordinary differential equations in linear topological spaces, II J. Differential Equations 6 1969 50-70 MR0277861 100 Cache/Fa/Fattorini,Ordinary,J*,1969,1970
5 Friedman, A.; Shinbrot, M. Volterra integral equations in Banach space Trans. Amer. Math. Soc. 126 1967 131-179 MR0206754 100 Cache/Fr/Friedman,Volterra,Trans*,1967,1968
6 Grimmer, R. C.; Miller, R. K. Existence, uniqueness, and continuity for integral equations in a Banach space J. Math. Anal. Appl. 57 1977 429-447 MR0440311 100 Cache/Gr/Grimmer,uniqueness,,J*,1977,1978
7 Gurtin, M. E.; Pipkin, A. C. A general theory of heat conduction with finite wave speeds Arch. Rational Mech. Anal. 31 1968 113-126 MR1553521 Cache/Gu/Gurtin,conduction,Arch*,1968,1969
8 Hannsgen, K. B. The resolvent kernel of an integrodifferential equation in Hilbert space SIAM J. Math. Anal. 7 1976 481-490 MR0417861 100 Cache/Ha/Hannsgen,integrodifferential,SIAM*,1976,1977
9 Hannsgen, K. B. Uniform $L^1$ behavior for an integrodifferential equation with parameter SIAM J. Math. Anal. 8 1977 626-639 MR0463848 88 Cache/Ha/Hannsgen,integrodifferential,SIAM*,1977,1978
10 Hille, E.; Phillips, R. S. Functional analysis and semi-groups, Rev. ed. Colloq. Publ Amer. Math. Soc. Colloq. Publ., vol. 31, Providence, R. I. 1957 xii+808 MR0089373 75 Cache/Hi/Hille,Functional,*,1957,1958 11 Jordan, G. S.; Wheeler, R. L., Structure of resolvents of Volterra integral and integro-differential systems, SIAM J. Math. Anal., to appear MR0556503 12 Miller, R. K. Nonlinear Volterra lntegral Equations W. A. Benjamin, Menlo Park, California 1971 MR0511193 75 Cache/Mi/Miller,Nonlinear,*,1971,1972 ix+468 13 Miller, R. K. Volterra integral equations in a Banach space Funkcial. Ekvac. 18 1975 163-193 MR0410312 0410312 100 Cache/Mi/Miller,Volterra,Funkcial*,1975,1976 14 Miller, R. K., An integro-differential equation for rigid heat conductors with memory, J. Math. Anal. Appl., to appear MR0515894
15 Miller, R. K.; Wheeler, R. L. Asymptotic behavior for a linear Volterra integral equation in Hilbert space J. Differential Equalions 23 1977 270-284 MR0440313 100 Cache/Mi/Miller,Asymptotic,J*,1977,1978
16 Paley, R. E. A. C.; Wiener, N. Fourier Transforms in the Complex Domain Colloq. Publ Amer. Math. Soc. Colloq. Publ., vol. 19, Providence, R. I. 1934 MR1451142 Cache/Pa/Paley,Transforms,*,1934,1935
17 Sova, M. Cosine operator functions Rozprawy Matematiyczne 49 1966 1-47 MR0193525 100 Cache/So/Sova,functions,Rozprawy*,1966,1967
18 Taylor, A. E. Introduction to Functional Analysis Wiley, New York 1958 MR0098966 Cache/Ta/Taylor,lntroduction,*,1958,1959
19 Travis, C. C.; Webb, G. F. Cosine families and abstract nonlinear second order differential equations Acta Math. Acad. Sci. Hungar. 32 1978 75-96 MR0499581 100 Cache/Tr/Travis,nonlinear,Acta*,1978,1979