A finding of the maximal saddle-node bifurcation for systems of differential equations
Analysis of PDEs
2023-03-21 v1 Mathematical Physics
math.MP
Abstract
A variational method is presented for directly finding the bifurcation point of nonlinear equations as the saddle-node point of the extended nonlinear Rayleigh quotient. The method is applied for solving an open problem on the existence of a maximal saddle-node bifurcation point for set of positive solutions of system equations with convex-concave type nonlinearity.
Keywords
Cite
@article{arxiv.2303.10726,
title = {A finding of the maximal saddle-node bifurcation for systems of differential equations},
author = {Yavdat Il'yasov},
journal= {arXiv preprint arXiv:2303.10726},
year = {2023}
}
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14 pages