Local theory for retarded equations with infinite delayFootnote^∗

^∗Supposed by the National Ntural Science Foundation of China

References

• Hale , J. and Kato , J. 1978 . Phase space for retarded equations with infinite delay . Funkcialai Ekvacio , 21 : 11 – 41 .
   Google Scholar
• Schumacher , K. 1978 . Existence and continuous dependence for functional differential equations with unbounded delay . Arohs. lational Mech.Anal , 62 : 315
   Google Scholar
• Hino , Y. 1977 . Stability and existence of almost periodic solutions of functional differential equations with infinite retardation . Proc. Symp. RIMS , 62 : 70 – 83 .
   Google Scholar
• Kaminogo , T. 1978 . Kniser's property and BVP for some retarded functional differential equations . Tohoku. Math. J , 30 : 471
   Google Scholar
• Naito , T. 1977 . On linear autonomous retarded equations with an abstract phase space for infinite delay . Proc. Symp. RIMS , 30 : 89 – 96 .
   Google Scholar
• Sawano , K. 1979 . Exponential asymptotic stability for functional differential equations with infinite retardations . Tohoku Math , 1 : 31
   Google Scholar
• Kappel , F. and Schappacher , W. 1980 . Some considerations to the fundamental theory of infinite delay equations . J. Biff. Eqs , 37 : 141 – 183 .
   Google Scholar
• Burton , T.A. 1983 . Volterra Integral and Differential Equations , New York : Academic Press .
   Google Scholar
• Burton , T.A. 1982 . Construction of Liapunov Functionals for Voterra Equations, 1 . Math. Anal. Appl , 85 : 90 – 103 .
   Google Scholar
• Burton , T.A. 1982 . Boundedness in functional differential equations . Funkciala.i Ekvacio.i , 25 : 51 – 77 .
   Google Scholar
• Burton , T.A. 1984 . Periodic solutions of linear Volterra equations . Funkciala.i Ekvacio.i , 27 : 229 – 255 .
   Google Scholar
• Burton , T.A. 1984 . Periodic solutions of nonlinear Volterra equations . Funkcial Ekvacio.i , 27 : 301 – 317 .
   Google Scholar
• Burton , T.A. , Qichang , Huang and Mahfoud , W.E. 1985 . Rate of decay of solutions of Volterra equations . Nonlinear Analysis, Theory, Methods and Applications , 9 : 651 – 663 .
   Google Scholar
• Seifert , O. 1982 . On Caratheodory conditions for functional equations with infinite delays . Rocky Mountain J. Math , 12 : 615 – 619 .
   Google Scholar
• Haddock , J. and Terjeki , J. 1983 . Liapunov-Razumikhin functions and an invariance principle for functional differential equations . J. Bifferential Equations , 48 : 95 – 122 .
   Web of Science ®Google Scholar
• Burton , T.A. and Zhang , S. Unified boundedness, periodicity, and stability in ordinary and functional differential equations
   Google Scholar
• Arino , O.A. , Burton , T.A. and Haddock , J.R. 1985 . Periodic solutions to functional differential equations . Proceedings of the Royal Society of Edinburgh , 101A : 253 – 271 .
   Google Scholar
• Huang , Q. and Wang , K. 1987 . h-boundedness and periodic solutions of functional differential equations with infinite delay . Science Bulletin , 32 : 947 – 950 .
   Google Scholar
• Huan , Q. and Wang , K. 1987 . Space Ch, boundedness and periodic solutions of FDE with infinite delay . Scientia Sinica , 8A : 807 – 818 .
   Google Scholar
• Huang , Q. and Wang , K. Generalized phace space for retarded equations with infinite delay
   Google Scholar
• Huang , Q. , He , M. and Wang , K. Phase space Cg, Ch and boundedness of FED(ID) . J.Math.Anal.Appl ,
   Google Scholar