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math.AP2026
An abstract averaging method for quasilinear equations
Jean Mawhin, Jorge Novoa
We develop an abstract averaging method for equations in Banach spaces. The method applies when the equation can be separated into an averaged com…
math.AP2025
Periodic solutions for p(t)-Lienard equations with a singular nonlinearity of attractive type
Petru Jebelean, Jean Mawhin, Calin Serban
We are concerned with the existence of -periodic solutions to an equation of type $$\left (|u'(t))|^{p(t)-2} u'(t) \right )'+f(u(t))u'(t)+g(u(t))=h(t)\quad \mbox{ in }[0,T]$$ wh…