Sharp Lyapunov-type inequalities for second-order half-linear difference equations with different kinds of boundary conditions
| Autor: | Robert Stegliński |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Lyapunov function
Pure mathematics Algebra and Number Theory Differential equation Applied Mathematics 010102 general mathematics Order (ring theory) Type (model theory) 01 natural sciences Dirichlet distribution 010101 applied mathematics Computational Mathematics symbols.namesake symbols Geometry and Topology Boundary value problem 0101 mathematics Analysis Mathematics |
| 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 |
| Externí odkaz: |
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