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Dec 30, 2024
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MATH 5173 - Ordinary Differential Equations
Existence and uniqueness theorems for initial value problems; continuous dependence of solutions on initial values and right hand sides; linear differential equations in R2 and Rn; nonlinear differential equations in R2 and Rn: phase portraits, singularities, cycles; invariant manifolds; linearization; singularities of planar systems; Lyapunov stability; examples: van der Pol oscillator, Liénard systems, Volterra-Lotka equations.
Credit Hours: (3)
Prerequisite(s): MATH 2171 and MATH 3142, or permission of department.
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