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Volumn 68, Issue 7, 2008, Pages 2027-2037

The existence and approximation of extremal solutions to several first-order discontinuous dynamic equations with nonlinear boundary value conditions

Author keywords

First order dynamic equation; Lower and upper solution; Nonlinear boundary value conditions; Time scales; Weak solution

Indexed keywords

APPROXIMATION ALGORITHMS; BOUNDARY CONDITIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 38749093368     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.01.030     Document Type: Article
Times cited : (10)

References (8)
  • 3
    • 33644514331 scopus 로고    scopus 로고
    • Expression of the Lebesgue Δ-integral on time scales as a usual Lebesgue integral. Application to the calculus of Δ-antiderivatives
    • 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
    • 27544512715 scopus 로고    scopus 로고
    • 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
    • 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
  • 6
    • 0001854098 scopus 로고    scopus 로고
    • Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions
    • Cabada A., Otero-Espinar V., and Pouso R.L. Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions. Comput. Math. Appl. 39 (2000) 21-33
    • (2000) Comput. Math. Appl. , vol.39 , pp. 21-33
    • Cabada, A.1    Otero-Espinar, V.2    Pouso, R.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.