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Applied Mathematics Commons

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Masters Theses

<p>Difference equations -- Oscillation theory<br />Differential equations<br />Time-series analysis</p>

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Full-Text Articles in Applied Mathematics

Dynamic Equations With Piecewise Continuous Argument, Christian Keller Jan 2008

Dynamic Equations With Piecewise Continuous Argument, Christian Keller

Masters Theses

"We extend the theory of differential equations with piecewise continuous argument to general time scales. Linear and quasi-linear systems of functional dynamic equations with alternating retarding and advanced argument will be investigated and conditions for globally asymptotic stability of those systems will be stated and proven. Furthermore, oscillation criteria for linear first-order equations with piecewise continuous argument will be established"--Abstract, page iii.