On the summability of formal solutions of nonlinear partial differential equations with shrinkings
Nonlinear PDEs with deviating variables are under consideration. The author gives sufficient conditions for the existence and uniqueness of formal series in the variable \(t\). He also obtains new sufficient conditions, both on the shape of governing equation and on initial conditions, under which constructed formal series solutions are 1-summable.
scientific article; zbMATH DE number 5162415