Browsing by Author "Mwema, Mohamed"

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    Overview solutions of nonlinear ordinary differential equations and its applications
    (The University of Dodoma, 2015) Mwema, Mohamed
    This study is about overview solutions of nonlinear differential equations and its applications. It consists of four chapters where by the first chapter is devoted on the general overview solutions of differential equations. The second chapter deals with numerical solutions of differential equations. It provides the numerical values of the differential equations with initial conditions or boundary conditions within the given range or interval. The third chapter is about the fixed points, their stability and bifurcations. Here we point out the basic theoretical understanding of the nature of solutions, fixed points and stability properties. The fourth chapter consists of some applications of nonlinear differential equations and nonlinear models such as prey-predator models and compartmental models, nonlinear equations in celestial mechanics, Lagrangian mechanics and circuit theories.