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Some recent results on singular p-Laplacian equations

Guarnotta Umberto, Livrea Roberto, Marano Salvatore A.

Demonstratio Mathematica

2022

Vol. 55, nr 1

416--428

A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions. An extensive bibliography is also provided.

Quasi-Fractional Approximation of Solution to Non-Autonomous Duffing's Equation

Andrianov I. V., Awrejcewicz J.

Machine Dynamics Problems

2003

Vol. 27, No. 1

15-20

A regular perturbation procedure and quasi-fractional approximants are used for analytical construction of a homoclinic orbit for a Duffing’s equation.