Author

J. Mawhin

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Preprint Oct 2026

An abstract averaging method for quasilinear equations

We develop an abstract averaging method for equations $Mx=\varepsilon N(x,\varepsilon)$ in Banach spaces. The method applies when the equation can be separated into an averaged compatibility condition and a nonlinear complementary problem, and it allows the principal operator $M$ to be genuinely nonlinear. We prove tha...

J. Mawhin, J. Novoa · 1 citation