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Volumn 69, Issue 2, 2008, Pages 536-543

Fixed point theorems for a class of nonlinear operators in Banach spaces and applications

Author keywords

Abstract evolution equation; Banach contraction mapping principle; Cone theory; Integro differential equation of mixed type; Nonlinear operator equation

Indexed keywords

CONES; CONTINUOUS TIME SYSTEMS; INTEGRODIFFERENTIAL EQUATIONS; LINEAR ALGEBRA; THEOREM PROVING;

EID: 44149085860     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.05.040     Document Type: Article
Times cited : (7)

References (18)
  • 2
    • 0003742471 scopus 로고
    • Shandong Science and Technology Press, Jinan (in Chinese)
    • Guo D.J. Nonlinear Functional Analysis (1985), Shandong Science and Technology Press, Jinan (in Chinese)
    • (1985) Nonlinear Functional Analysis
    • Guo, D.J.1
  • 5
    • 44149125535 scopus 로고
    • Iterative technique for a class of nonlinear operator equations
    • (in Chinese)
    • Sun J.X. Iterative technique for a class of nonlinear operator equations. J. Eng. Math. 6 2 (1989) 12-17 (in Chinese)
    • (1989) J. Eng. Math. , vol.6 , Issue.2 , pp. 12-17
    • Sun, J.X.1
  • 6
    • 33847560461 scopus 로고
    • Iterative solutions of nonlinear operator equations and applications
    • (in Chinese)
    • Sun J.X., and Liu L.S. Iterative solutions of nonlinear operator equations and applications. Acta Math. Sci. 13 2 (1993) 141-145 (in Chinese)
    • (1993) Acta Math. Sci. , vol.13 , Issue.2 , pp. 141-145
    • Sun, J.X.1    Liu, L.S.2
  • 7
    • 0041880485 scopus 로고    scopus 로고
    • Existence theorems of iterative solutions for nonlinear operator equations and applications
    • (in Chinese)
    • Zhang X.Y., and Liu L.S. Existence theorems of iterative solutions for nonlinear operator equations and applications. Acta Math. Sci. 21 3 (2001) 398-404 (in Chinese)
    • (2001) Acta Math. Sci. , vol.21 , Issue.3 , pp. 398-404
    • Zhang, X.Y.1    Liu, L.S.2
  • 10
    • 0035982372 scopus 로고    scopus 로고
    • On global existence of solutions of abstract nonlinear integro-differential equations
    • Dhakne M.B., and Lamb G.B. On global existence of solutions of abstract nonlinear integro-differential equations. Indian J. Pure Appl. Math. 33 (2002) 665-676
    • (2002) Indian J. Pure Appl. Math. , vol.33 , pp. 665-676
    • Dhakne, M.B.1    Lamb, G.B.2
  • 11
    • 44149083580 scopus 로고    scopus 로고
    • The positive solutions of abstract semilinear evolution equations and their applications
    • (in Chinese)
    • Li Y.X. The positive solutions of abstract semilinear evolution equations and their applications. Acta Math. Sinica 39 5 (1996) 666-672 (in Chinese)
    • (1996) Acta Math. Sinica , vol.39 , Issue.5 , pp. 666-672
    • Li, Y.X.1
  • 12
    • 0344872341 scopus 로고    scopus 로고
    • Periodic solutions of semilinear evolution equations in Banach spaces
    • (in Chinese)
    • Li Y.X. Periodic solutions of semilinear evolution equations in Banach spaces. Acta Math. Sinica 41 3 (1998) 629-636 (in Chinese)
    • (1998) Acta Math. Sinica , vol.41 , Issue.3 , pp. 629-636
    • Li, Y.X.1
  • 13
    • 44149094571 scopus 로고    scopus 로고
    • Coupled periodic solutions of nonlinear evolution equations in Banach spaces
    • (in Chinese)
    • Shen P.L., and Li F.Y. Coupled periodic solutions of nonlinear evolution equations in Banach spaces. Acta Math. Sinica 43 4 (2000) 685-694 (in Chinese)
    • (2000) Acta Math. Sinica , vol.43 , Issue.4 , pp. 685-694
    • Shen, P.L.1    Li, F.Y.2
  • 15
    • 0002463297 scopus 로고
    • Initial value problems for integro-differential equations of Volterra type in a Banach space
    • Guo D.J. Initial value problems for integro-differential equations of Volterra type in a Banach space. J. Appl. Math. Stoch. Anal. 7 (1994) 13-23
    • (1994) J. Appl. Math. Stoch. Anal. , vol.7 , pp. 13-23
    • Guo, D.J.1
  • 16
    • 0012229138 scopus 로고
    • The solutions of nonlinear integro-differential equations of mixed type in Banach spaces
    • (in Chinese)
    • Liu L.S. The solutions of nonlinear integro-differential equations of mixed type in Banach spaces. Acta Math. Sinica 38 6 (1995) 721-731 (in Chinese)
    • (1995) Acta Math. Sinica , vol.38 , Issue.6 , pp. 721-731
    • Liu, L.S.1
  • 17
    • 44149126760 scopus 로고    scopus 로고
    • The unique solution for discontinuous nonlinear Volterra type integral equations in Banach spaces
    • (in Chinese)
    • Liu L.S. The unique solution for discontinuous nonlinear Volterra type integral equations in Banach spaces. Acta Math. Sinica 44 1 (2001) 131-136 (in Chinese)
    • (2001) Acta Math. Sinica , vol.44 , Issue.1 , pp. 131-136
    • Liu, L.S.1
  • 18
    • 0034300556 scopus 로고    scopus 로고
    • Iterative method of solutions and coupled quasi-solutions of nonlinear integro-differential equations of mixed type in Banach spaces
    • Liu L.S. Iterative method of solutions and coupled quasi-solutions of nonlinear integro-differential equations of mixed type in Banach spaces. Nonlinear Anal. 42 (2000) 583-598
    • (2000) Nonlinear Anal. , vol.42 , pp. 583-598
    • Liu, L.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.