Comparison theorems and existence theorems for ordinary differential equations |
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Authors: | Allan C Peterson |
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Affiliation: | Department of Mathematics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588 USA |
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Abstract: | We are concerned with uniqueness and existence theorems for two point boundary value problems for the nonlinear differential equation Ly = f(x, y), where L is the classical nth order linear differential operator. In proving our results interesting comparison theorems are proven for linear differential equations. |
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