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Recent Advances in Partial Differential Equations and Their Applications

  1. Research

    An asymptotic property of the Camassa-Holm equation on the half-line

    The paper addresses the asymptotic properties of Camassa-Holm equation on the half-line. That is, using the method of asymptotic density, under the assumption that it is unique, the paper proves that the posit...

    Jia Jia and Shunguang Kang

    Boundary Value Problems 2016 2016:218

    Published on: 8 December 2016

  2. Research

    Dynamics of competing systems in general heterogeneous environments

    In this paper, we address the question of the dynamics of the systems for two competing species in general heterogeneous environment with lethal boundary conditions. The existence and uniqueness of the positiv...

    Benlong Xu and Zhenzhang Ni

    Boundary Value Problems 2015 2015:110

    Published on: 25 June 2015

  3. Research

    Positive solutions of singular beam equations with the bending term

    Using a new technique for dealing with the bending term of beam equations, we consider the existence and multiplicity of positive solutions for a beam equation. Besides achieving new results, upper and lower b...

    Xuemei Zhang and Meiqiang Feng

    Boundary Value Problems 2015 2015:84

    Published on: 26 May 2015

  4. Research

    Effects of radiation on MHD free convection of a Casson fluid from a horizontal circular cylinder with partial slip in non-Darcy porous medium with viscous dissipation

    In the present study, the effects of radiation on MHD free convection from a cylinder with partial slip in a Casson fluid in non-Darcy porous medium is investigated. The surface of the cylinder is heated under...

    Gilbert Makanda, Sachin Shaw and Precious Sibanda

    Boundary Value Problems 2015 2015:75

    Published on: 6 May 2015

  5. Research

    Optimal control for evolutionary imperfect transmission problems

    We study the optimal control problem of a second order linear evolution equation defined in two-component composites with ε-periodic disconnected inclusions of size ε in presence of a jump of the solution on the ...

    Luisa Faella and Carmen Perugia

    Boundary Value Problems 2015 2015:50

    Published on: 17 March 2015

  6. Research

    Nonlocal boundary value hyperbolic problems involving integral conditions

    Stability estimates for the solution of the nonlocal boundary value problem with two integral conditions for hyperbolic equations in a Hilbert space H are established. In applications, stability estimates for the...

    Allaberen Ashyralyev and Necmettin Aggez

    Boundary Value Problems 2014 2014:205

    Published on: 25 September 2014