A pointwise estimate for the solution to a linear Volterra integral equation
- Volume: 74, Issue: 1, page 12-18
- ISSN: 1120-6330
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topMorro, Angelo. "A pointwise estimate for the solution to a linear Volterra integral equation." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 74.1 (1983): 12-18. <http://eudml.org/doc/287448>.
@article{Morro1983,
author = {Morro, Angelo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {pointwise estimate; Gronwall-like inequalities; Jones' inequality},
language = {eng},
month = {1},
number = {1},
pages = {12-18},
publisher = {Accademia Nazionale dei Lincei},
title = {A pointwise estimate for the solution to a linear Volterra integral equation},
url = {http://eudml.org/doc/287448},
volume = {74},
year = {1983},
}
TY - JOUR
AU - Morro, Angelo
TI - A pointwise estimate for the solution to a linear Volterra integral equation
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1983/1//
PB - Accademia Nazionale dei Lincei
VL - 74
IS - 1
SP - 12
EP - 18
LA - eng
KW - pointwise estimate; Gronwall-like inequalities; Jones' inequality
UR - http://eudml.org/doc/287448
ER -
References
top- Lakshmikantham, V. and Leela, S. (1969) - Differential and Integral Inequalities, Academic Press, New York, vol. 1. Zbl0177.12403
- Walter, W. (1970) - Differential and Integral Inequalities, Springer-Verlag, Berlin. MR271508
- Yeh, C.-C. (1982) - Bellman—Bihari integral inequalities in several independent variables, «J. Math. Anal. Appl.», 87, 311-321. Zbl0514.26006MR653622DOI10.1016/0022-247X(82)90169-X
- Jones, G.S. (1964) — Fundamental inequalities for discrete and discontinuous functional equations, «J. Soc. Indust. Appl. Math.», 12, 43-57. Zbl0154.05702MR162069
- Morro, A. (1982) - A Gronwall-like inequality and its application to continuum thermodynamics, «Boll. Un. Mat. It.», B 1, 553-562. Zbl0498.34036MR666586
- Willett, D. (1965) - A linear generalization of Gronwal's inequality, «Proc. Amer. Math. Soc.», 16, 774-778. Zbl0128.27604MR181726
- Volterra, V. (1896) - Sulla inversione degli integrali definiti, «Atti R. Accad. Sci. Torino», 31; 311-400, 557-693.
- Tricomi, F. (1957) - Integral Equations, Interscience, New York. Zbl0078.09404MR94665
- Dhongade, U.D. and Deo, S.G. (1974) - Pointwise estimates of solutions of some Volterra integral equations, «J. Math. Anal. Appl.», 45, 615-628. Zbl0271.45001MR333623
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