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Volumn 113, Issue 1, 2000, Pages 267-281

Discrete continuation method for boundary value problems on bounded sets in Banach spaces

Author keywords

Boundary value problem; Continuation; Contraction mapping; Fixed point; Iterative approximation; Ordinary differential equation

Indexed keywords

APPROXIMATION THEORY; ITERATIVE METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SET THEORY;

EID: 0033896659     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00261-7     Document Type: Article
Times cited : (14)

References (12)
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    • (1974) Rocky Mountain J. , vol.4 , pp. 69-79
    • Gatica, J.A.1    Kirk, W.A.2
  • 2
    • 0000559910 scopus 로고
    • Continuation method for contractive maps
    • A. Granas, Continuation method for contractive maps, Topol. Methods Nonlinear Anal. 3 (1994) 375-379.
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    • Granas, A.1
  • 3
    • 0343265435 scopus 로고
    • Existence and uniqueness results for nonlinear boundary value problems
    • D.D. Hai, K. Schmitt, Existence and uniqueness results for nonlinear boundary value problems, Rocky Mountain J. 24 (1994) 77-91.
    • (1994) Rocky Mountain J. , vol.24 , pp. 77-91
    • Hai, D.D.1    Schmitt, K.2
  • 5
    • 0001251307 scopus 로고
    • Existence principles for differential equations and systems of equations
    • A. Granas, M. Frigon (Eds.), Kluwer, Dordrecht
    • J.W. Lee, D. O'Regan, Existence principles for differential equations and systems of equations, in: A. Granas, M. Frigon (Eds.), Topological Methods in Differential Equations and Inclusions, Kluwer, Dordrecht, 1995, pp. 239-289.
    • (1995) Topological Methods in Differential Equations and Inclusions , pp. 239-289
    • Lee, J.W.1    O'Regan, D.2
  • 6
    • 0000535786 scopus 로고
    • Un'obsservazione sulle contrazioni metriche
    • M.G. Maia, Un'obsservazione sulle contrazioni metriche, Rend. Sem. Mat. Univ. Padova 40 (1968) 139-143.
    • (1968) Rend. Sem. Mat. Univ. Padova , vol.40 , pp. 139-143
    • Maia, M.G.1
  • 7
    • 84972541004 scopus 로고
    • Two point boundary value problems for nonlinear second order differential equations in Hilbert space
    • J. Mawhin, Two point boundary value problems for nonlinear second order differential equations in Hilbert space, Tôhoku Math. J. 32 (1980) 225-233.
    • (1980) Tôhoku Math. J. , vol.32 , pp. 225-233
    • Mawhin, J.1
  • 9
    • 0004234568 scopus 로고
    • Ellis Horwood Ltd., Chichester; Halsted Press, Wiley, New York
    • R.E. Moore, Computational Functional Analysis, Ellis Horwood Ltd., Chichester; Halsted Press, Wiley, New York, 1985.
    • (1985) Computational Functional Analysis
    • Moore, R.E.1
  • 10
    • 0342830561 scopus 로고
    • Nonlinear two point boundary value problems
    • "Babeş-Bolyai" University, Faculty of Mathematics and Physics, Research Seminars, Preprint No. 3
    • B. Petracovici, Nonlinear two point boundary value problems, in: Seminar on Differential Equations, "Babeş-Bolyai" University, Faculty of Mathematics and Physics, Research Seminars, Preprint No. 3, 1989, pp. 1-12.
    • (1989) Seminar on Differential Equations , pp. 1-12
    • Petracovici, B.1
  • 11
    • 0343265392 scopus 로고
    • A fixed point theorem of Maia type in syntopogenous spaces
    • "Babeş-Bolyai" University, Faculty of Mathematics and Physics, Research Seminars, Preprint No. 3
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  • 12
    • 0343265433 scopus 로고
    • On a fixed point theorem of Maia
    • I.A. Rus, On a fixed point theorem of Maia, Studia Univ. Babeş-Bolyai Math. 22 (1) (1977) 40-42.
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    • Rus, I.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.