Some stability criteria for linear systems of Volterra integral equations

1 Bownds, J. M.; Cushing, J. M., Some stability theorems for system of Volterra integral equations, to appear in Applicable Analysis MR0394080

2 Levin, J. J.; Nohel, J. A. Perturbations of a nonlinear Volterra equation Mich. Math. J. 12 1965 431-447 MR0182854 100 Cache/Le/Levin,Perturbations,Mich*,1965,1966

3 Levin, J. J. The qualitative behavior of a nonlinear Volterra equation Proc. AMS 16 1965 711-718 MR0190669 100 Cache/Le/Levin,qualitative,Proc*,1965,1966

4 Miller, R. K. Asymptotic behavior of solutions of nonlinear Volterra equations Bull. AMS 72 1966 153-156 MR0196441 100 Cache/Mi/Miller,Asymptotic,Bull*,1966,1967

5 Corduneanu, C. Some perturbation problems in the theory of integral equations Math. Systems Theory 1 1967 143-155 MR0213919 100 Cache/Co/Corduneanu,perturbation,Math*,1967,1968

6 Miller, R. K. On the linearization of Volterra integral equations J. Math. Anal. Appl. 32 1968 198-208 MR0230070

7 Nohel, J. A. Problems in qualitative behavior of solutions of nonlinear Volterra equations appearing in "Nonlinear Integral Equations" (P. M. Anselone, ed.), Univ. Wisconsin Press 1964 191-214 MR0163141

8 Miller, R. K. On Volterra integral equations with nonnegative integrable resolvents J. Math. Anal. Appl. 22 1968 319-340 MR0227707 100 Cache/Mi/Miller,nonnegative,J*,1968,1969

9 Miller, R. K.; Nohel, J. A.; Wong, J. S. W. A stability theorem for nonlinear mixed integral equations J. Math. AnaI. Appl. 25 2 1969 446-449 MR0234238 100 Cache/Mi/Miller,stability,J*,1969,1970

10 Miller, R. K.; Nohel, J. A.; Wong, J. S. W. Perturbations of Volterra integral equations J. Math. Anal. Appl. 25 3 1969 676-691 MR0240573 100 Cache/Mi/Miller,Perturbations,J*,1969,1970

11 Grossman, Stanley I. Existence and stability of a class of nonlinear Volterra integral equations Trans. AMS 150 1970 541-556 MR0265886 100 Cache/Gr/Grossman,Existence,Trans*,1970,1971

12 Strauss, Aaron On a perturbed Volterra integral equation J. Math. Anal. Appl. 30 3 1970 564-575 MR0261291 100 Cache/St/Strauss,perturbed,J*,1970,1971

13 Hannsgen, Kenneth; Shilepsky, Carol A boundedness theorem for Volterra equations J. Diff. Eqns. 10 1971 378-387 MR0293348 100 Cache/Ha/Hannsgen,boundedness,J*,1971,1972

14 Sato, T. Sur l'equation integrale non linearire de Volterra Compositio Math. 11 1953 271-290 MR0060712 85 Cache/Sa/Sato,l'equation,Compositio*,1953,1954

15 Coppel, W. A. Stability and Asymptotic Behavior of Differential Equations D. C. Heath and Co., Boston 1965 MR0190463 100 Cache/Co/Coppel,Asymptotic,*,1965,1966 viii+166 16 Tricomi, F. G. Integral Equations Interscience Publishers, Inc., N. Y. 1957 MR0094665 100 Cache/Tr/Tricomi,Integral,*,1957,1958 viii+238 17 Courant-Hilbert, Methods of Mathematical Physics, Vol. 1 Interscience, N.Y. 1953 MR0065391 18 Riesz, F.; Sz.-Nagy, B. Functional Analysis F. Ungar Publ. Co., N. Y. 1955 MR0071727 100 Cache/Ri/Riesz,Functional,*,1955,1956 xii+468

19 Martin, R. H. A bound for solutions of Volterra-Stieltjes integral equations Proc. AMS 23 1969 506-512 MR0247394 100 Cache/Ma/Martin,Volterra-Stieltjes,Proc*,1969,1970

20 Miller, R. K. Admissibility and nonlinear Volterra integral equations Proc. AMS 25 1970 65-71 MR0257674 100 Cache/Mi/Miller,Admissibility,Proc*,1970,1971

21 Grossman, S. I.; Miller, R. K. Perturbation theory for Volterra integrodifferential systems J. Diff. Eq. 8 1970 457-474 MR0270095 100 Cache/Gr/Grossman,integrodifferential,J*,1970,1971

22 Nohel, J. A. Asymptotic relationships between systems of Volterra equations Annali di Mat. Pura ed Applic., Serie IV IV 90 1971 149-165 MR0310575 100 Cache/No/Nohel,relationships,Annali*,1971,1972

23 Nohel, J. A. Perturbations of Volterra equations and admissibility Japan-U. S. Seminar on ordinary differential and functional equations, Lecture Notes in Mathematics 243, Springer-Verlag, Berlin-Heidelberg-New York 1971 40-53 MR0394072 Cache/No/Nohel,Perturbations,*,1971,1972