메뉴 건너뛰기




Volumn 124, Issue 6, 1996, Pages 1811-1820

On the perturbation theory of m-accretive operators in Banach spaces

Author keywords

Accretive operator; Compact perturbation; Compact resolvent; Degree theory for condensing mappings; M accretive operator

Indexed keywords


EID: 21344439908     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03349-7     Document Type: Article
Times cited : (8)

References (22)
  • 2
    • 0002747662 scopus 로고
    • Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces
    • Providence, MR 53:8982
    • F. E. Browder, Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces, Proc. Symp. Pure Appl. Math., 18, Part 2, Providence, 1976. MR 53:8982
    • (1976) Proc. Symp. Pure Appl. Math. , vol.18 , Issue.2 PART
    • Browder, F.E.1
  • 3
    • 38249025988 scopus 로고
    • The generalized degree for compact perturbations of m-accretive operators and applications
    • MR 90c:47094
    • Y. Z. Chen, The generalized degree for compact perturbations of m-accretive operators and applications, Nonl. Anal. TMA 13 (1989), 393-403. MR 90c:47094
    • (1989) Nonl. Anal. TMA , vol.13 , pp. 393-403
    • Chen, Y.Z.1
  • 6
    • 33645905692 scopus 로고
    • Nonzero solutions of nonlinear equations involving compact perturbations of accretive operators in Banach spaces
    • Z. Ding and A. G. Kartsatos, Nonzero solutions of nonlinear equations involving compact perturbations of accretive operators in Banach spaces, Nonl. Anal. TMA 25 (1995), 1333-1342.
    • (1995) Nonl. Anal. TMA , vol.25 , pp. 1333-1342
    • Ding, Z.1    Kartsatos, A.G.2
  • 7
    • 30244450140 scopus 로고
    • Ranges of operators of monotone type in Banach spaces
    • MR 95b:47068
    • Z. Guan, Ranges of operators of monotone type in Banach spaces, J. Math. Anal. Appl. 174 (1993), 256-264. MR 95b:47068
    • (1993) J. Math. Anal. Appl. , vol.174 , pp. 256-264
    • Guan, Z.1
  • 8
    • 1542644170 scopus 로고
    • Solvability of semilinear equations with compact perturbations of operators of monotone type
    • MR 94g:47080
    • Z. Guan, Solvability of semilinear equations with compact perturbations of operators of monotone type, Proc. Amer. Math. Soc. 121 (1994), 93-102. MR 94g:47080
    • (1994) Proc. Amer. Math. Soc. , vol.121 , pp. 93-102
    • Guan, Z.1
  • 9
    • 0342900176 scopus 로고
    • Solvability of nonlinear equations with coercivity generated by compact perturbations of m-accretive operators in Banach spaces
    • Z. Guan and A. G. Kartsatos, Solvability of nonlinear equations with coercivity generated by compact perturbations of m-accretive operators in Banach spaces, Houston J. Math. 21 (1995), 149-188.
    • (1995) Houston J. Math. , vol.21 , pp. 149-188
    • Guan, Z.1    Kartsatos, A.G.2
  • 10
    • 0013387256 scopus 로고
    • Ranges of perturbed maximal monotone and m-accretive operators in Banach spaces
    • CMP 95:02
    • Z. Guan and A. G. Kartsatos, Ranges of perturbed maximal monotone and m-accretive operators in Banach spaces, Trans. Amer. Math. Soc. 347 (1995), 2403-2435. CMP 95:02
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 2403-2435
    • Guan, Z.1    Kartsatos, A.G.2
  • 11
    • 33645937574 scopus 로고    scopus 로고
    • On perturbations of m-accretive operators in Banach spaces
    • to appear. CMP 95:03
    • N. Hirano and A. K. Kalinde, On perturbations of m-accretive operators in Banach spaces, Proc. Amer. Math. Soc. (to appear). CMP 95:03
    • Proc. Amer. Math. Soc.
    • Hirano, N.1    Kalinde, A.K.2
  • 12
    • 0028407841 scopus 로고
    • Ranges of sums and control of nonlinear evolutions with preassigned responses
    • CMP 94:12
    • D. R. Kaplan and A. G. Kartsatos, Ranges of sums and control of nonlinear evolutions with preassigned responses, J. Opt. Th. Appl. 81 (1994), 121-141. CMP 94:12
    • (1994) J. Opt. Th. Appl. , vol.81 , pp. 121-141
    • Kaplan, D.R.1    Kartsatos, A.G.2
  • 13
    • 0011524287 scopus 로고
    • On compact perturbations and compact resolvents of nonlinear m-accretive operators in Banach spaces
    • MR 94c:47076
    • A. G. Kartsatos, On compact perturbations and compact resolvents of nonlinear m-accretive operators in Banach spaces, Proc. Amer. Math. Soc. 119 (1993), 1189-1199. MR 94c:47076
    • (1993) Proc. Amer. Math. Soc. , vol.119 , pp. 1189-1199
    • Kartsatos, A.G.1
  • 14
    • 0041514046 scopus 로고
    • Recent results involving compact perturbations and compact resolvents of accretive operators in Banach spaces
    • Tampa, Florida, 1992, Walter De Gruyter, New York
    • A. G. Kartsatos, Recent results involving compact perturbations and compact resolvents of accretive operators in Banach spaces, Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, 1992, Walter De Gruyter, New York, 1995, pp. 2197-2222.
    • (1995) Proceedings of the First World Congress of Nonlinear Analysts , pp. 2197-2222
    • Kartsatos, A.G.1
  • 15
    • 0041514045 scopus 로고
    • On the construction of methods of lines for functional evolutions in general Banach spaces
    • A. G. Kartsatos, On the construction of methods of lines for functional evolutions in general Banach spaces, Nonl. Anal. TMA 25 (1995), 1321-1331.
    • (1995) Nonl. Anal. TMA , vol.25 , pp. 1321-1331
    • Kartsatos, A.G.1
  • 16
    • 0008527009 scopus 로고
    • A compact evolution operator generated by a time-dependent m-accretive operator in a general Banach space
    • CMP 94:12
    • A. G. Kartsatos, A compact evolution operator generated by a time-dependent m-accretive operator in a general Banach space, Math. Ann. 302 (1995), 473-487. CMP 94:12
    • (1995) Math. Ann. , vol.302 , pp. 473-487
    • Kartsatos, A.G.1
  • 17
    • 84956444365 scopus 로고    scopus 로고
    • New results in the perturbations theory of maximal monotone and m-accretive operators in Banach spaces
    • to appear.
    • A. G. Kartsatos, New results in the perturbations theory of maximal monotone and m-accretive operators in Banach spaces, Trans. Amer. Math. Soc. (to appear).
    • Trans. Amer. Math. Soc.
    • Kartsatos, A.G.1
  • 19
    • 33645908345 scopus 로고
    • The generalized degree for set contracting perturbation of m-accretive operator and applications
    • MR 93g:47077
    • N. G. Liu, The generalized degree for set contracting perturbation of m-accretive operator and applications, Nonl. Anal. TMA 18 (1992), 605-618. MR 93g:47077
    • (1992) Nonl. Anal. TMA , vol.18 , pp. 605-618
    • Liu, N.G.1
  • 20
    • 0004081871 scopus 로고
    • Cambridge Univ. Press, Cambridge, MR 58:12558
    • N. G. Lloyd, Degree Theory, Cambridge Univ. Press, Cambridge, 1978. MR 58:12558
    • (1978) Degree Theory
    • Lloyd, N.G.1
  • 21
    • 0001575687 scopus 로고
    • Degree of mapping in convex linear topological spaces
    • MR 13:150b
    • M. Nagumo, Degree of mapping in convex linear topological spaces, Amer. J. Math. 73 (1951), 497-511. MR 13:150b
    • (1951) Amer. J. Math. , vol.73 , pp. 497-511
    • Nagumo, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.