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Existence and Uniqueness of Solutions of Boundary-Value Problems for a Third-Order Differential Equation
Abstract
The paper will be divided into four chapters. In the first two chapters we will consider the question of uniqueness of solutions for equation (1.0). We will determine criteria concerning interval lengths for which solutions to equation (1.0) will be unique. In the first chapter we will approach the problem by assuming Lipschitz conditions for the function f(x, y, y', y") and then by use of the Cauchy functions determine interval lengths which guarantee unique solutions. In the second chapter we will again assume Lipschitz conditions for f(x, y, y', y") but use the Green's Function to determine interval lengths. In both sections we will compare our results with known results in this area.
Subject Area
Mathematics
Recommended Citation
INNES, JOAN ELEANOR MELAND, "Existence and Uniqueness of Solutions of Boundary-Value Problems for a Third-Order Differential Equation" (1974). ETD collection for University of Nebraska-Lincoln. AAI7503384.
https://digitalcommons.unl.edu/dissertations/AAI7503384