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  1. This article presents an improved spectral-homotopy analysis method (ISHAM) for solving nonlinear differential equations. The implementation of this new technique is shown by solving the Falkner-Skan and magne...

    Authors: Sandile Sydney Motsa, Gerald T Marewo, Precious Sibanda and Stanford Shateyi

    Citation: Boundary Value Problems 2011 2011:3

    Content type: Research

    Published on:

  2. A new formula expressing explicitly the derivatives of Bernstein polynomials of any degree and for any order in terms of Bernstein polynomials themselves is proved, and a formula expressing the Bernstein coeff...

    Authors: EH Doha, AH Bhrawy and MA Saker

    Citation: Boundary Value Problems 2011 2011:829543

    Content type: Research Article

    Published on:

  3. Though boundary value problems for fractional differential equations have been extensively studied, most of the studies focus on scalar equations and the fractional order between 1 and 2. On the other hand, de...

    Authors: Zigen Ouyang, Yuming Chen and Shuliang Zou

    Citation: Boundary Value Problems 2011 2011:475126

    Content type: Research Article

    Published on:

  4. We show that the energy to the thermoelastic transmission problem decays exponentially as time goes to infinity. We also prove the existence, uniqueness, and regularity of the solution to the system.

    Authors: Margareth S. Alves, Jaime E. Muñoz Rivera, Mauricio Sepúlveda and Octavio Vera Villagrán

    Citation: Boundary Value Problems 2011 2011:190548

    Content type: Research Article

    Published on:

  5. This paper deals with a predator-prey model with Beddington-DeAngelis functional response under homogeneous Neumann boundary conditions. We mainly discuss the following three problems: (1) stability of the non...

    Authors: Lina Zhang and Shengmao Fu

    Citation: Boundary Value Problems 2011 2011:404696

    Content type: Research Article

    Published on:

  6. The boundary value problems for degenerate anisotropic differential operator equations with variable coefficients are studied. Several conditions for the separability and Fredholmness in Banach-valued

    Authors: Ravi Agarwal, Donal O'Regan and Veli Shakhmurov

    Citation: Boundary Value Problems 2011 2011:268032

    Content type: Research Article

    Published on:

  7. This paper generalises the work done in Currie and Love (2010), where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with various combinations of...

    Authors: Sonja Currie and AnneD Love

    Citation: Boundary Value Problems 2011 2011:743135

    Content type: Research Article

    Published on:

    The Research to this article has been published in Boundary Value Problems 2012 2012:66

  8. The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem for a class of nonl...

    Authors: Changyou Wang, Ruifang Wang, Shu Wang and Chunde Yang

    Citation: Boundary Value Problems 2011 2011:297026

    Content type: Research Article

    Published on:

  9. We find polynomial-type Jost solution of the self-adjoint discrete Dirac systems. Then we investigate analytical properties and asymptotic behaviour of the Jost solution. Using the Weyl compact perturbation th...

    Authors: Elgiz Bairamov, Yelda Aygar and Murat Olgun

    Citation: Boundary Value Problems 2010 2010:306571

    Content type: Research Article

    Published on:

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