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Existence and convergence of solutions of singular boundary value problems for second order ordinary differential equations and applications
Authors:Jiehua Zhu  Zheng-an Yao  Ke-Pao Lin
Affiliation:1. Department of Mathematics , Zhongshan University , Guangzhou, China;2. The Institute of Mathematical Sciences , The Chinese University of Hong Kong , 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
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