Voir la notice de l'article provenant de la source Cambridge University Press
Milojevič, P. S. On the Solvability and Continuation Type Results for Nonlinear Equations with Applications, II. Canadian mathematical bulletin, Tome 25 (1982) no. 1, pp. 98-109. doi: 10.4153/CMB-1982-013-5
@article{10_4153_CMB_1982_013_5,
author = {Milojevi\v{c}, P. S.},
title = {On the {Solvability} and {Continuation} {Type} {Results} for {Nonlinear} {Equations} with {Applications,} {II}},
journal = {Canadian mathematical bulletin},
pages = {98--109},
year = {1982},
volume = {25},
number = {1},
doi = {10.4153/CMB-1982-013-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-013-5/}
}
TY - JOUR AU - Milojevič, P. S. TI - On the Solvability and Continuation Type Results for Nonlinear Equations with Applications, II JO - Canadian mathematical bulletin PY - 1982 SP - 98 EP - 109 VL - 25 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-013-5/ DO - 10.4153/CMB-1982-013-5 ID - 10_4153_CMB_1982_013_5 ER -
%0 Journal Article %A Milojevič, P. S. %T On the Solvability and Continuation Type Results for Nonlinear Equations with Applications, II %J Canadian mathematical bulletin %D 1982 %P 98-109 %V 25 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-013-5/ %R 10.4153/CMB-1982-013-5 %F 10_4153_CMB_1982_013_5
[1] 1. Brézis, H. R., Equations at inéquations nonlinear dans les espaces vectorielles en dualité, Ann. Inst. Fourier (Grenoble) 18 (1968), 115-175. Google Scholar
[2] 2. Browder, F. E., Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69 (1963), 862-874. Google Scholar
[3] 3. Browder, F. E., Existence theory for boundary value problems for quasilinear elliptic systems with strongly nonlinear lower order terms, Proc. Symp. Pure Math. 23 (1973), 269-286. Google Scholar
[4] 4. Browder, F. E., Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proc. Symp. in Pure Math., AMS, Vol. 18, Part. 2 (1976). Google Scholar
[5] 5. Browder, F. E. and Hess, P., Nonlinear mappings of monotone type in Banach spaces, J. Funct. Anal. 11 (1972), 251-294. Google Scholar
[6] 6. Calvert, B. and Webb, J. R. L., An existence theorem for quasimonotone operators, Rend. Accad. Naz. Dei Lincei 8 (1971), 362-368. Google Scholar
[7] 7. Deimling, K., Zeros of accretive operators, Manuscripta Math, 13 (1974), 365-374. Google Scholar
[8] 8. Dubinsky, Yu. A., Quasilinear elliptic and parabolic equations of an arbitrary order, Uspehi Mat. Nauk 23 (1968), No. 1 (139), 45-90. Google Scholar
[9] 9. de Figueiredo, D. G. and Gupta, C. P., Nonlinear integral equations of Hammerstein type involving unbounded monotone linear mappings. J. Math. Anal. Appl. 39 (1972), 37-48. Google Scholar
[10] 10. Fitzpatrick, P. M., Surjectivity results for nonlinear mappings from a Banach space to its dual, Math. Ann. 204 (1973), 177-188. Google Scholar
[11] 11. Hess, P., On nonlinear mappings of monotype type homotopic to odd operators, J. Funct. Anal. 11 (1972), 138-167. Google Scholar
[12] 12. Hess, P., On nonlinear mappings of monotone type with respect to two Banach spaces, J. Math, pure et appl., 52 (1973), 13-26. Google Scholar
[13] 13. Lions, J. L., Quelques méthodes de résolution de problèmes aux limites non linéaires, Dunod; Gauthier-Villars, Paris, 1969. Google Scholar
[14] 14. Milojević, P. S., Surjectivity results for A-proper, their uniform limits and pseudo A-proper maps with applications, Notices Amer. Math. Society, January 1977, 77T-B27. Google Scholar
[15] 15. Milojević, P. S., On the solvability and continuation type results for nonlinear equations with applications I, Proceedings of the Third International Symposium on Topology and its Applications, Belgrade, 1977, 468-485. Google Scholar
[16] 16. Milojević, P. S., A generalization of Leray-Schauder theorem and surjectivity results for multivalued A-proper and pseudo A-proper mappings, J. Nonlinear Anal., Theory, Methods and Apṕlic, 1(3) (1977), 263-276. Google Scholar
[17] 17. Milojević, P. S., Fredholm alternatives and surjectivity results for multivalued A-proper and condensing mappings with applications to nonlinear integral and differential equations. Czechoslovak Math. Journal 30 (105) (1980), 387-417. Google Scholar
[18] 18. Milojević, P. S., Continuation and solvability results for nonlinear equations with applications (in preparation). Google Scholar
[19] 19. Milojević, P. S. and Petryshyn, W. V., Continuation theorems and the approximationsolvability of equations involving multivalued A-proper mappings, J. Math. Anal. Appl. 60(3) (1977), 658-692. Google Scholar
[20] 20. Milojević, P. S. and Petryshyn, W. V., Continuation and surjectivity theorems for uniform limits of A-proper mappings with applications, J. Math. Anal. Appl. 62(2) (1978), 368-400. Google Scholar
[21] 21. Minty, G. J., On a "monotonicity" method for the solution of nonlinear equations in Banach spaces, Proc. Nat. Acad. Sci. USA, 50 (1963), 1038-1041. Google Scholar
[22] 22. Nussbaum, R. D., The fixed point index for local condensing maps, Ann. Math. Pura Appl. (4) 89 (1971), 217-258. Google Scholar
[23] 23. Petryshyn, W. V., On the approximation-solvability of equations involving A-proper and pseudo A-proper mappings, Bull. Amer. Math. Soc, 81(2) (1975), 223-312. Google Scholar
[24] 24. Petryshyn, W. V., On the relationship of A-properness to mappings of monotone type with applications to elliptic equations, Fixed point Theory and its Applications (ed. S. Swaminathan), Academic Press, N.Y.), 1976, 149-174. Google Scholar
[25] 25. Petryshyn, W. V. and Fitzpatrick, P. M., New existence theorems for nonlinear equations of Hammerstein type, Trans. Amer. Math. Soc, 160 (1971), 39-63. Google Scholar
[26] 26. Sadovsky, B. N., Ultimately compact and condensing mappings. Uspehi Mat. Nauk, 27 (1972) 81-146. Google Scholar
[27] 27. Toland, J. F., Global bifurcation theory via Galerkin Method, Nonlinear Analysis, Theory, Methods and Applications, (3)1 (1977), 305-317. Google Scholar
[28] 28. Wille, F., Monotone operatoren mit Stôrungen, Arch. Rat. Mech. Anal. 46 (1971), 369-388. Google Scholar
Cité par Sources :