#2 – Existence of Exponentially Growing Solutions and Asymptotic Stability Results for Hilfer Fractional (P1, P2, …, Pn) Laplacian Initial Value Problem With Weighted Duffing Oscillator

Nadir Benkaci-Ali.
Existence of Exponentially Growing Solutions and Asymptotic Stability Results for Hilfer Fractional (P₁,P₂, …, P_n) Laplacian Initial Value Problem With Weighted Duffing Oscillator
Dynamic Systems and Applications 30 (2021) No. 12, 1763-1778

https://doi.org/10.46719/dsa202130.12.02

ABSTRACT.
In this paper, we give existence of exponentially growing solutions and
asymptotic stability results of the initial value problem with nonautonomous
and variable coefficients weighted Duffing equation involving the (p₁, p₂, … p_n)-Laplacian operator.

AMS (MOS) Subject Classification. 34B15, 34B16, 34B18.
Key words: Duffing equation; positive solution; fixed point.

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