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Volumn 30, Issue 5, 1997, Pages 2735-2742

Monotone methods for systems of nonlinear hyperbolic problems in two independent variables

Author keywords

Comparison principle; Hyperbolic initial boundary value problem; Picone canonic forms; Quadratic convergence; Variation of parameters formula; Wendroff inequality

Indexed keywords


EID: 0043047275     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00265-9     Document Type: Article
Times cited : (17)

References (12)
  • 1
    • 84974379720 scopus 로고
    • The method of upper, lower solutions and monotone iterative scheme for higher order partial differential equations
    • AGARWAL R.P., The method of upper, lower solutions and monotone iterative scheme for higher order partial differential equations, J. Austral. Math. Soc. (Series A) 47, 153-170 (1989).
    • (1989) J. Austral. Math. Soc. (Series A) , vol.47 , pp. 153-170
    • Agarwal, R.P.1
  • 2
    • 0042528586 scopus 로고
    • On a sharp linear comparison result and an application to nonlinear Cauchy problem
    • BLAKLEY R.D. & PANDIT S.G., On a sharp linear comparison result and an application to nonlinear Cauchy problem, Dynamic Syst. Appl. 3, 135-140 (1994).
    • (1994) Dynamic Syst. Appl. , vol.3 , pp. 135-140
    • Blakley, R.D.1    Pandit, S.G.2
  • 4
    • 0043029495 scopus 로고    scopus 로고
    • Method of generalized quasilinearization for hyperbolic initial-boundary value problems
    • DEO S.G. & PANDIT S.G., Method of generalized quasilinearization for hyperbolic initial-boundary value problems, Nonlinear World 3, 267-275 (1996).
    • (1996) Nonlinear World , vol.3 , pp. 267-275
    • Deo, S.G.1    Pandit, S.G.2
  • 5
    • 0001844398 scopus 로고
    • Some boundary value problems for systems of linear partial differential equations of hyperbolic type
    • Publishing House GCI, Tbilisi, Republic of Georgia
    • KIGURADZE T., Some Boundary Value Problems for Systems of Linear Partial Differential Equations of Hyperbolic Type, in Memoirs on Differential Equations and Mathematical Physics, Vol.1, Publishing House GCI, Tbilisi, Republic of Georgia (1994).
    • (1994) Memoirs on Differential Equations and Mathematical Physics , vol.1
    • Kiguradze, T.1
  • 10
    • 0043029496 scopus 로고
    • Sulle equationi alle derivate parziali del second ordine del tipo iperbolico in due variabili independenti
    • PICONE M., Sulle equationi alle derivate parziali del second ordine del tipo iperbolico in due variabili independenti, Rend. Circ. Mat. Palermo 30, 349-376 (1910).
    • (1910) Rend. Circ. Mat. Palermo , vol.30 , pp. 349-376
    • Picone, M.1
  • 12
    • 0041526680 scopus 로고
    • Gronwall's inequality for systems of partial diffeential equations in two independent variables
    • SNOW D.R., Gronwall's inequality for systems of partial diffeential equations in two independent variables, Proc. Amer. Math. Soc. 33, 46-54 (1972).
    • (1972) Proc. Amer. Math. Soc. , vol.33 , pp. 46-54
    • Snow, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.