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Mathematics

California State University, San Bernardino

2013

Mathematics

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Behavior Of Solutions For Bernoulli Initial-Value Problems, Carlos Marcelo Sardan Jan 2013

Behavior Of Solutions For Bernoulli Initial-Value Problems, Carlos Marcelo Sardan

Theses Digitization Project

The purpose of this project is to investigate blow-up properties of solutions for specific initial-value problems that involve Bernoulli Ordinary Differential Equations (ODE's). The objective is to find conditions on the coefficients and on the initial-values that lead to unbounded growth of solutions in finite time.