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Singular Boundary Value Problems for Ordinary Differential Equations

  1. 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

    Content type: Research Article

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  2. 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

    Content type: Research Article

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  3. 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

    Content type: Research Article

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  4. 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

    Content type: Research Article

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  5. 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

    Content type: Research Article

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  6. 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

    Content type: Research Article

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  7. 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

    Content type: Research Article

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