Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces
Annales de la Faculté des sciences de Toulouse : Mathématiques (1986-1987)
- Volume: 8, Issue: 2, page 131-158
- ISSN: 0240-2963
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topMitidieri, Enzo, and Tosques, Mario. "Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.2 (1986-1987): 131-158. <http://eudml.org/doc/73191>.
@article{Mitidieri1986-1987,
author = {Mitidieri, Enzo, Tosques, Mario},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Hilbert space; nonlinear Volterra equation; monotone operator; existence; uniqueness; regularity},
language = {eng},
number = {2},
pages = {131-158},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces},
url = {http://eudml.org/doc/73191},
volume = {8},
year = {1986-1987},
}
TY - JOUR
AU - Mitidieri, Enzo
AU - Tosques, Mario
TI - Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1986-1987
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 2
SP - 131
EP - 158
LA - eng
KW - Hilbert space; nonlinear Volterra equation; monotone operator; existence; uniqueness; regularity
UR - http://eudml.org/doc/73191
ER -
References
top- [1] Barbu ( V.).- Nonlinear Volterra equations in Hilbert spaces, Siam J. Math. Anal., t. 6, 1975, p. 728-741. Zbl0322.45012MR377620
- [2] Barbu ( V.).- Nonlinear semigroups and differential equations in Banach spaces. Noordhoff, Leyden, 1976. Zbl0328.47035MR390843
- [3] Brezis ( H.). — Opérateurs maximaux monotones et semigroupes de contraction dans les espaces de Hilbert. - Notas de Matematica (50), North-Holland, 1973. Zbl0252.47055MR348562
- [4] De Giorgi ( E.), Degiovanni ( M.), Marino ( A.), Tosques ( M.).- Evolution equations for a class of nonlinear operators, Acc. Naz. Lincei Rend. Cl. Sc. Fis. Mat. Nat., t. (8)75, 1983, p. 1-8. Zbl0597.47045MR780801
- [5] De Giorgi ( E.), Marino ( A.), Tosques ( M.).- Funzioni (p, q)-convesse, Acc. Naz. Lincei Rend. Cl. Sc. Fis. Mat. Nat., t. (8)73, 1982, p. 6-14. Zbl0521.49011MR726279
- [6] Degiovanni ( M.), Marino ( A.), Tosques ( M.).- General properties of p, q)-convex functions and (p, q)-monotone operators, Ricerche di Matematica, t. XXXII(II), 1983, p. 285-319. Zbl0555.49007MR766683
- [7] Degiovanni ( M.), Marino ( A.) and Tosques ( M.). — Evolution equations associated with (p, q)-convex functions and (p, q)-monotone operators, Ricerche di Matematica, t. XXXIII, 1984, p. 81-112. Zbl0582.49005MR795157
- [8] Degiovanni ( M.), Marino ( A.) and Tosques ( M.). — Evolution equations with lack of convexity, Nonlinear Anal. The Meth. and Appl., t. 9,12, 1985, p. 1401-1443. Zbl0545.46029MR820649
- [9] Degiovanni ( M.) and Tosques ( M.).- Evolution equations for (φ, f)-monotone operators, Bol. U.M.I., t. (6)5-B, 1986, p. 537-568. Zbl0615.47047MR860642
- [10] Crandall ( M.G.) and Nohel ( J.A.).- An abstract functional differential equation and a related nonlinear Volterra equation, Israel J. of Math., t. 29, 1978, p. 313-328. Zbl0373.34035MR477910
- [11] Gripenberg ( G.).- An existence result for a nonlinear Volterra integral equation in Hilbert space, SIAM J. Math. Anal., t. 9, 1978, p. 793-805. Zbl0393.45011MR506760
- [12] Kiffe ( T.).-A discontinuous Volterra integral equation, J. Integral Eq., t. 1, 1979, p. 193-200. Zbl0452.45008MR540826
- [13] Kiffe ( T.) and Stecher ( M.).- Existence and uniqueness of solutions to abstract Volterra integral equations, Proc. A.M.S., t. 68, 1978, p. 169-175. Zbl0382.45015MR481983
- [14] Londen ( S.O.). - On an integral equation in a Hilbert space, SIAM J. Math. Anal.., t. 8, 1977, p. 950-970. Zbl0379.45011MR511229
- [15] Londen ( S.O.).- On a nonlinear Volterra equation, J. Math. Anal. Appl., t. 39, 1972, p. 458-476. MR313743
- [16] Londen ( S.O.). - On a nonlinear Volterra equation, J. Differential Eq., t. 14, 1973, p. 106-120. Zbl0246.45002MR340995
- [17] Miller ( R.K. ).- Nonlinear Volterra integral equations.- W.A. Benjamin, Menlo Park CA. 1971. Zbl0448.45004MR511193
- [18] Marino ( A.) and Scolozzi ( D.).- Autovalori dell'operatore di Lapiace ed equazioni di evoluzione in presenza di ostacolo, Problemi differenziali e teoria dei punti critici (Bari, 1984) p. 137-155. - Pitagora, Bologna1984. Zbl0613.35024MR817778
- [19] Marino ( A.) and Scolozzi ( D.).- Punti inferiormente stazionari ed equazioni di evoluzione con vincoli unilaterali non convessi, Rend. Sem. Mat. Fis. Milano, t. 52, 1982, p. 393-414. MR802954
- [20] Pazy ( A.). - Semigroups of nonlinear contractions in Hilbert space. - Problems in nonlinear analysis, C.I.M.E.Varenna, Cremonese1971. Zbl0228.47038MR291877
- [21] Rammolet ( C.). - Existence and boundness results for abstract nonlinear Volterra equations of nonconvolution type, J. Integral Eq., t. 3, 1981, p. 137-151. Zbl0462.45024MR623829
- [22] Kiffe ( T.).-A Volterra integral equation and multiple valued functions, J. Integral Eq., t. 3, 1981, p. 93-108. Zbl0479.45004MR623827
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