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Volumn 339, Issue 1, 2008, Pages 590-597

Existence and approximation of extremal solutions to first-order infinite systems of functional dynamic equations

Author keywords

First order functional dynamic equation; Infinite systems; Lower and upper solutions; Nonlinear boundary value conditions; Time scales

Indexed keywords


EID: 35248819144     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.06.031     Document Type: Article
Times cited : (6)

References (9)
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    • Cabada A., and Vivero D.R. Expression of the Lebesgue Δ-integral on time scales as a usual Lebesgue integral. Application to the calculus of Δ-antiderivatives. Math. Comput. Modelling 43 (2006) 194-207
    • (2006) Math. Comput. Modelling , vol.43 , pp. 194-207
    • Cabada, A.1    Vivero, D.R.2
  • 4
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    • Criterions for absolutely continuity on time scales
    • Cabada A., and Vivero D.R. Criterions for absolutely continuity on time scales. J. Difference Equ. Appl. 11 11 (2005) 1013-1028
    • (2005) J. Difference Equ. Appl. , vol.11 , Issue.11 , pp. 1013-1028
    • Cabada, A.1    Vivero, D.R.2
  • 5
    • 0003216150 scopus 로고
    • Theories of Populations in Biological Communities
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    • (1977) Lect. Notes Ecol. Stud. , vol.20
    • Christiansen, F.B.1    Fenchel, T.M.2
  • 6
    • 24944449885 scopus 로고    scopus 로고
    • On extending existence theory from scalar ordinary differential equations to infinite quasimonotone systems of functional equations
    • Cid J.A. On extending existence theory from scalar ordinary differential equations to infinite quasimonotone systems of functional equations. Proc. Amer. Math. Soc. 133 9 (2005) 2661-2670
    • (2005) Proc. Amer. Math. Soc. , vol.133 , Issue.9 , pp. 2661-2670
    • Cid, J.A.1
  • 7
    • 35248876345 scopus 로고    scopus 로고
    • Existence of extremal solutions by approximation to a first-order initial dynamic equation with Carathéodory's conditions and discontinuous non-linearities
    • Otero-Espinar V., and Vivero D.R. Existence of extremal solutions by approximation to a first-order initial dynamic equation with Carathéodory's conditions and discontinuous non-linearities. J. Difference Equ. Appl. 12 12 (2006) 1225-1241
    • (2006) J. Difference Equ. Appl. , vol.12 , Issue.12 , pp. 1225-1241
    • Otero-Espinar, V.1    Vivero, D.R.2
  • 8
    • 38749093368 scopus 로고    scopus 로고
    • V. Otero-Espinar, D.R. Vivero, The existence and approximation of extremal solutions to several first-order discontinuous dynamic equations with nonlinear boundary value conditions, Nonlinear Anal. (2007), doi:10.1016/j.na.2007.01.030, in press
  • 9
    • 84972541021 scopus 로고
    • A lattice-theoretical fixed point theorem and its applications
    • Tarski A. A lattice-theoretical fixed point theorem and its applications. Pacific J. Math. 5 (1955) 285-309
    • (1955) Pacific J. Math. , vol.5 , pp. 285-309
    • Tarski, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.