On Lyapunov-type inequalities for nonlinear Hamiltonian-type problems-Reference-Cited by-同舟云学术

On Lyapunov-type inequalities for nonlinear Hamiltonian-type problems

Published:2022 Issue:10 Volume:36 Page:3423-3432
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aktaş Mustafa¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Gazi University, Teknikokullar, Ankara, Turkey

Abstract

In this paper, we investigate new Lyapunov-type inequalities for Hamiltonian-type problem {w? = ?(x)w + |y| p?2 y /(1 + |y| p) p?1/p y? = ?? (x) |w|??2 w /(1+|w|?)??1/? ? ?(x) y involving the p-prescribed curvature operator ?p (v) = |v|p?2 v /(1 + |v|p) p?1/p, p > 1, under Dirichlet boundary condition.

Publisher

National Library of Serbia

Subject

General Mathematics

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