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Showing 1 to 2 of 2 for “"Lower and Upper Solutions"”.

  1. Competition and Persistence of Microorganisms in the Gradostat

    … of which species of microorganisms can coexist and which can not in a spacial heterogeneous environment, called a gradostat. The dynamics of m species in n gradostat vessels is described by a system of mn ordinary differential equations. Using the results on the coexistence of two species, with …

    heid-diss Repository record for Competition and Persistence of Microorganisms in the Gradostat (opens in a new tab)

  2. NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer

    … first chapter, we review some basic definitions and concepts of fractional calculus. Then we introduce fractional difference equations involving the Riemann-Liouville operator of real number order between zero and one. In the second chapter, we apply the Brouwer fixed point and Contraction …

    wku-diss Repository record for NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer (opens in a new tab)