메뉴 건너뛰기




Volumn 66, Issue 10, 2007, Pages 2325-2333

Existence results for a generalized nonlinear Hammerstein equation on L1 spaces

Author keywords

Fixed point theorems; Measure of weak noncompactness; Nonlinear Hammerstein equations

Indexed keywords

FUNCTIONS; THEOREM PROVING; TOPOLOGY; VECTORS;

EID: 33847110662     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.03.022     Document Type: Article
Times cited : (59)

References (18)
  • 1
    • 0040047664 scopus 로고
    • Su alcuni parametri connessi con la misura di non compattezza di Hausdorff in spazi di funzioni misurabili
    • Appell J., and De Pascale E. Su alcuni parametri connessi con la misura di non compattezza di Hausdorff in spazi di funzioni misurabili. Boll. Unione Mat. Ital. B 3 6 (1984) 497-515
    • (1984) Boll. Unione Mat. Ital. B , vol.3 , Issue.6 , pp. 497-515
    • Appell, J.1    De Pascale, E.2
  • 2
    • 84974291948 scopus 로고
    • Integrable solutions of Hammerstein and Uryshon integral equations
    • Banas J. Integrable solutions of Hammerstein and Uryshon integral equations. J. Aust. Math. Soc. A 46 (1989) 61-68
    • (1989) J. Aust. Math. Soc. A , vol.46 , pp. 61-68
    • Banas, J.1
  • 3
    • 0025399979 scopus 로고
    • Measure of weak noncompactness and nonlinear integral equations of convolution type
    • Banas J., and Knap Z. Measure of weak noncompactness and nonlinear integral equations of convolution type. J. Math. Anal. Appl. 146 (1990) 353-362
    • (1990) J. Math. Anal. Appl. , vol.146 , pp. 353-362
    • Banas, J.1    Knap, Z.2
  • 4
    • 0043014934 scopus 로고    scopus 로고
    • Krasnoselskii's fixed point theorem for weakly continuous maps
    • Barroso C.S. Krasnoselskii's fixed point theorem for weakly continuous maps. Nonlinear Anal. 55 (2003) 25-31
    • (2003) Nonlinear Anal. , vol.55 , pp. 25-31
    • Barroso, C.S.1
  • 5
    • 33847122268 scopus 로고    scopus 로고
    • C.S. Barroso, E.V. Teixeira, A fixed point theorem for sum of operators and applications (preprint)
  • 6
    • 0008332593 scopus 로고    scopus 로고
    • A fixed point theorem of Krasnoselskii
    • Burton T.A. A fixed point theorem of Krasnoselskii. Appl. Math. Lett. 11 (1998) 85-88
    • (1998) Appl. Math. Lett. , vol.11 , pp. 85-88
    • Burton, T.A.1
  • 7
    • 0036568039 scopus 로고    scopus 로고
    • Krasnoselskii's fixed point theorem and stability
    • Burton T.A., and Furumochi T. Krasnoselskii's fixed point theorem and stability. Nonlinear Anal. 49 (2002) 445-454
    • (2002) Nonlinear Anal. , vol.49 , pp. 445-454
    • Burton, T.A.1    Furumochi, T.2
  • 8
    • 0000690785 scopus 로고
    • On a property of the unit sphere in Banach spaces
    • De Blasi F.S. On a property of the unit sphere in Banach spaces. Bull. Math. Soc. Sci. Math. Roumanie 21 (1977) 259-262
    • (1977) Bull. Math. Soc. Sci. Math. Roumanie , vol.21 , pp. 259-262
    • De Blasi, F.S.1
  • 10
    • 0010685569 scopus 로고
    • Integrable solutions of a functional-integral equation
    • Emmanuele G. Integrable solutions of a functional-integral equation. J. Integral Equations Appl. 4 (1992) 89-94
    • (1992) J. Integral Equations Appl. , vol.4 , pp. 89-94
    • Emmanuele, G.1
  • 11
    • 0242457022 scopus 로고
    • An existence theorem for Hammerstein integral equations
    • Emmanuele G. An existence theorem for Hammerstein integral equations. Port. Math. 51 (1994) 607-611
    • (1994) Port. Math. , vol.51 , pp. 607-611
    • Emmanuele, G.1
  • 12
    • 0043184235 scopus 로고
    • On the continuity of the operator F u (x) = f (x, u (x))
    • (in Russian)
    • Krasnosel'skii M.A. On the continuity of the operator F u (x) = f (x, u (x)). Dokl. Akad. Nauk. SSSR 77 (1951) 185-188 (in Russian)
    • (1951) Dokl. Akad. Nauk. SSSR , vol.77 , pp. 185-188
    • Krasnosel'skii, M.A.1
  • 14
    • 30344445716 scopus 로고    scopus 로고
    • Some fixed point theorems of the Schauder and Krasnosel'skii type and application to nonlinear transport equations
    • Latrach K., Taoudi M.A., and Zeghal A. Some fixed point theorems of the Schauder and Krasnosel'skii type and application to nonlinear transport equations. J. Differential Equations 221 (2006) 256-271
    • (2006) J. Differential Equations , vol.221 , pp. 256-271
    • Latrach, K.1    Taoudi, M.A.2    Zeghal, A.3
  • 15
    • 0042887904 scopus 로고
    • On Nemytskii's operator and its application to the lower semicontinuity of integral functionals
    • Lucchetti R., and Patrone F. On Nemytskii's operator and its application to the lower semicontinuity of integral functionals. Indiana Univ. Math. J. 29 5 (1980) 703-735
    • (1980) Indiana Univ. Math. J. , vol.29 , Issue.5 , pp. 703-735
    • Lucchetti, R.1    Patrone, F.2
  • 16
    • 0001775771 scopus 로고    scopus 로고
    • Fixed-Point theory for the sum of two operators
    • O'regan D. Fixed-Point theory for the sum of two operators. Appl. Math. Lett. 9 (1996) 1-8
    • (1996) Appl. Math. Lett. , vol.9 , pp. 1-8
    • O'regan, D.1
  • 17
    • 0032033439 scopus 로고    scopus 로고
    • Fixed-Point theory for weakly sequentially continuous mappings
    • O'regan D. Fixed-Point theory for weakly sequentially continuous mappings. Math. Comput. Modelling 27 (1998) 1-14
    • (1998) Math. Comput. Modelling , vol.27 , pp. 1-14
    • O'regan, D.1
  • 18
    • 0003838373 scopus 로고
    • Cambridge University Press, Cambridge
    • Smart D.R. Fixed Point Theorems (1980), Cambridge University Press, Cambridge
    • (1980) Fixed Point Theorems
    • Smart, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.