• 대한수학회논문집
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• 제11권1호
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• pp.147-151
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• 1996

In this paper we consider n-species autonomous competitive Lotka-Volterra systems. We exhibit here simple algebraic criteria on the parameters which guarantee the coexistence of all the species.

• 충청수학회지
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• 제37권1호
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• pp.1-17
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• 2024

The boundary conditions $\tilde{P}_0$ and $\tilde{P}_1$ were introduced in [5] by using the Hodge decomposition on the de Rham complex. In [6] the Atiyah-Bott-Lefschetz type fixed point formulas were proved on a compact Riemannian manifold with boundary for some special type of smooth functions by using these two boundary conditions. In this paper we slightly extend the result of [6] and give two examples showing these fixed point theorems.