Sharp Lyapunov-type inequalities for second-order half-linear difference equations with different kinds of boundary conditions

Autor: Robert Stegliński
Rok vydání: 2021
Předmět:
Zdroj: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 115
ISSN: 1579-1505
1578-7303
Popis: In this work, we establish optimal Lyapunov-type inequalities for the second-order difference equation withp-Laplacian$$\begin{aligned} \Delta (\left| \Delta u(k-1)\right| ^{p-2}\Delta u(k-1))+a(k)\left| u(k)\right| ^{p-2}u(k)=0 \end{aligned}$$Δ(Δu(k-1)p-2Δu(k-1))+a(k)u(k)p-2u(k)=0with Dirichlet, Neumann, mixed, periodic and anti-periodic boundary conditions.
Databáze: OpenAIRE