Monotonicity of solutions of Volterra integral equations in Banach space
HTML articles powered by AMS MathViewer
- by Avner Friedman PDF
- Trans. Amer. Math. Soc. 138 (1969), 129-148 Request permission
References
-
A. Erdélyi et al., “Higher transcendental functions,” in Bateman manuscript project, Vol. III, McGraw-Hill, New York, 1955.
- Avner Friedman, On integral equations of Volterra type, J. Analyse Math. 11 (1963), 381–413. MR 158232, DOI 10.1007/BF02789991
- Avner Friedman, Optimal control for hereditary processes, Arch. Rational Mech. Anal. 15 (1964), 396–416. MR 170744, DOI 10.1007/BF00256929
- Avner Friedman, Periodic behavior of solutions of Volterra integral equations, J. Analyse Math. 15 (1965), 287–303. MR 187035, DOI 10.1007/BF02787698 —, Optimal control in Banach spaces, J. Math. Anal. Appl. 19 (1967), 35-55.
- Avner Friedman and Marvin Shinbrot, Volterra integral equations in Banach space, Trans. Amer. Math. Soc. 126 (1967), 131–179. MR 206754, DOI 10.1090/S0002-9947-1967-0206754-7
- Tosio Kato, Fractional powers of dissipative operators, J. Math. Soc. Japan 13 (1961), 246–274. MR 138005, DOI 10.2969/jmsj/01330246
- R. K. Miller, On Volterra integral equations with nonnegative integrable resolvents, J. Math. Anal. Appl. 22 (1968), 319–340. MR 227707, DOI 10.1016/0022-247X(68)90176-5
- David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, vol. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 138 (1969), 129-148
- MSC: Primary 47.70; Secondary 45.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0242024-0
- MathSciNet review: 0242024