Existence and convergence of solutions of singular boundary value problems for second order ordinary differential equations and applications

Jiehua Zhu; Zheng-an Yao; Ke-Pao Lin

doi:10.1080/00036810008840858

Existence and convergence of solutions of singular boundary value problems for second order ordinary differential equations and applications

Jiehua Zhu, Zheng-an Yao, Ke-Pao Lin

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	425-440
Number of pages	16
Journal	Applicable Analysis
Volume	75
Issue number	3-4
DOIs	https://doi.org/10.1080/00036810008840858
State	Published - Aug 1 2000

Scopus Subject Areas

Analysis
Applied Mathematics

Keywords

34B15
34E15
35L65
Hyperbolic conservation laws
Riemann problem
Second order quasilinear ordinary differential equations
Singular boundary value problems

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10.1080/00036810008840858

Cite this

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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 = "34B15, 34E15, 35L65, Hyperbolic conservation laws, Riemann problem, Second order quasilinear ordinary differential equations, Singular boundary value problems",

author = "Jiehua Zhu and Zheng-an Yao and Ke-Pao Lin",

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AU - Yao, Zheng-an

AU - Lin, Ke-Pao

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Y1 - 2000/8/1

N2 - 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.

AB - 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.

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KW - 34E15

KW - 35L65

KW - Hyperbolic conservation laws

KW - Riemann problem

KW - Second order quasilinear ordinary differential equations

KW - Singular boundary value problems

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JO - Applicable Analysis

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Existence and convergence of solutions of singular boundary value problems for second order ordinary differential equations and applications

Abstract

Scopus Subject Areas

Keywords

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