• Communications of the Korean Mathematical Society
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• v.11 no.1
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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.

• Journal of the Chungcheong Mathematical Society
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• v.37 no.1
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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.