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Singular Boundary Value Problems for Ordinary Differential Equations

  1. Content type: Research Article

    A singular Cauchy-Nicoletti problem for a system of nonlinear ordinary differential equations is considered. With the aid of combination of Ważewski's topological method and Schauder's principle, the theorem c...

    Authors: Jaromír Baštinec, Josef Diblík and Zdeněk Šmarda

    Citation: Boundary Value Problems 2009 2009:137451

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  2. Content type: Research Article

    The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated s...

    Authors: Mingkang Ni and Zhiming Wang

    Citation: Boundary Value Problems 2009 2009:634324

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  3. Content type: Research Article

    We establish the existence and uniqueness of a positive and nondecreasing solution to a singular boundary value problem of a class of nonlinear fractional differential equation. Our analysis relies on a fixed ...

    Authors: J Caballero Mena, J Harjani and K Sadarangani

    Citation: Boundary Value Problems 2009 2009:421310

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  4. Content type: Research Article

    The cone theory together with Mönch fixed point theorem and a monotone iterative technique is used to investigate the positive solutions for some boundary problems for systems of nonlinear second-order differe...

    Authors: Xingqiu Zhang

    Citation: Boundary Value Problems 2009 2009:978605

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  5. Content type: Research Article

    A viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium. Furthermore, bifurcati...

    Authors: Yumei Yu, JuanJ Nieto, Angela Torres and Kaifa Wang

    Citation: Boundary Value Problems 2009 2009:958016

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  6. Content type: Research Article

    We present some new nonlinear integral inequalities Bellman-Bihari type with delay for discontinuous functions (integro-sum inequalities; impulse integral inequalities). Some applications of the results are in...

    Authors: Angela Gallo and Anna Maria Piccirillo

    Citation: Boundary Value Problems 2009 2009:808124

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  7. Content type: Research Article

    We use subfunctions and superfunctions to derive sufficient conditions for the existence of extremal solutions to initial value problems for ordinary differential equations with discontinuous and singular nonl...

    Authors: DanielC Biles and Rodrigo López Pouso

    Citation: Boundary Value Problems 2009 2009:507671

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