On Lyapunov-type inequalities for nonlinear Hamiltonian-type problems
Filomat, Tome 36 (2022) no. 10, p. 3423

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In this paper, we investigate new Lyapunov-type inequalities for Hamiltonian-type problem w′ = η (x) w + ∣∣∣y∣∣∣p−2 y( 1 + ∣∣∣y∣∣∣p ) p−1p y′ = −σ (x) |w| β−2 w( 1 + |w|β ) β−1 β − η (x) y involving the p-prescribed curvature operator Φp (v) = |v|p−2 v( 1 + |v|p ) p−1 p , p > 1, under Dirichlet boundary condition.
DOI : 10.2298/FIL2210423A
Classification : 34C11, 34C15
Keywords: p-prescribed curvature operator, q-relativistic operator, Nonlinear Hamiltonian-type problem, Lyapunov-type inequality
Mustafa Fahri Aktaş. On Lyapunov-type inequalities for nonlinear Hamiltonian-type problems. Filomat, Tome 36 (2022) no. 10, p. 3423 . doi: 10.2298/FIL2210423A
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     author = {Mustafa Fahri Akta\c{s}},
     title = {On {Lyapunov-type} inequalities for nonlinear {Hamiltonian-type} problems},
     journal = {Filomat},
     pages = {3423 },
     year = {2022},
     volume = {36},
     number = {10},
     doi = {10.2298/FIL2210423A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2210423A/}
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