Existence of solutions to first-order periodic boundary value problems |
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| Authors: | Christopher C Tisdell |
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| Institution: | School of Mathematics, The University of New South Wales, Sydney 2052, Australia |
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| Abstract: | This article investigates the existence of solutions to boundary value problems (BVPs) involving systems of first-order ordinary differential equations and two-point, periodic boundary conditions. The methods involve novel differential inequalities and fixed-point theory to yield new theorems guaranteeing the existence of at least one solution. |
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| Keywords: | Existence of solutions Boundary value problems Differential equations Fixed-point methods |
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