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Article
Existence and Convergence of Solutions of Singular Boundary Value Problems for Second Order Ordinary Differential Equations and Applications
Applicable Analysis (2000)
  • Jiehua Zhu, Georgia Southern University
  • Zheng-an Yao, Zhongstan University
  • Ke-Pao Lin, The Chinese University of Hong Kong
Abstract
In this paper,we consider the singular boundary value problems for second order quasilinear ordinary differential equations and prove existence and convergence on second order perturbation terms.The result is applied to solve the Riemann problem for 2×2 hyperbolic conservation laws,which is a partial differential equation arising in applied mathematical area.
Keywords
  • Riemann problem,
  • singular boundary value problems,
  • second order quasilinear ordinary differential equations,
  • hyperbolic conservation laws
Disciplines
Publication Date
2000
DOI
10.1080/00036810008840858
Citation Information
Jiehua Zhu, Zheng-an Yao and Ke-Pao Lin. "Existence and Convergence of Solutions of Singular Boundary Value Problems for Second Order Ordinary Differential Equations and Applications" Applicable Analysis Vol. 75 Iss. 3-4 (2000) p. 425 - 440 ISSN: 1563-504X
Available at: http://works.bepress.com/jiehua_zhu/50/