
Using Mawhin's coincidence degree theory, we obtain some new continuation theorems which are designed to have as a natural application the study of the periodic problem for cyclic feedback type systems. We also discuss some examples of vector ordinary differential equations with a $ϕ$-Laplacian operator where our results can be applied.
42 pages, 2 PNG figures
Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 34C25, 47H11, 47J05, 47N20, cyclic feedback systems, coincidence degree, periodic solutions, continuation theorems, φ-Laplacian operators
Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 34C25, 47H11, 47J05, 47N20, cyclic feedback systems, coincidence degree, periodic solutions, continuation theorems, φ-Laplacian operators
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