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	American English
Journal	Applicable Analysis
Volume	75
DOIs	https://doi.org/10.1080/00036810008840858
State	Published - 2000

Keywords

Riemann problem
hyperbolic conservation laws
second order quasilinear ordinary differential equations
singular boundary value problems

DC Disciplines

Mathematics

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10.1080/00036810008840858License: Unspecified

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@article{9500abc9417641789cd6d60f1dfdc35f,

title = "Existence and Convergence of Solutions of Singular Boundary Value Problems for Second Order Ordinary Differential Equations and Applications",

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, hyperbolic conservation laws, second order quasilinear ordinary differential equations, singular boundary value problems",

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

year = "2000",

doi = "10.1080/00036810008840858",

language = "American English",

volume = "75",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - Existence and Convergence of Solutions of Singular Boundary Value Problems for Second Order Ordinary Differential Equations and Applications

AU - Zhu, Jiehua

AU - Yao, Zheng-an

AU - Lin, Ke-Pao

PY - 2000

Y1 - 2000

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.

KW - Riemann problem

KW - hyperbolic conservation laws

KW - second order quasilinear ordinary differential equations

KW - singular boundary value problems

UR - https://doi.org/10.1080/00036810008840858

U2 - 10.1080/00036810008840858

DO - 10.1080/00036810008840858

M3 - Article

SN - 0003-6811

VL - 75

JO - Applicable Analysis

JF - Applicable Analysis

ER -

Existence and Convergence of Solutions of Singular Boundary Value Problems for Second Order Ordinary Differential Equations and Applications

Abstract

Keywords

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