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Picone identities for ordinary differential equations of fourth order

open access: yesPicone identities for ordinary differential equations of fourth order
application/pdf It is known that there are two kinds of Picone identities for fourth order ordinary differential equations. A new type of Picone identity is established, and Sturmian comparison theorems are derived.
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On a consequence of Picone’s identity for a fractional p-Laplacian

open access: yesAnnals of Functional Analysis
H. P. Bueno   +2 more
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Picone’s identity on hyperbolic space and its applications

Bollettino dell'Unione Matematica Italiana, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Caccioppoli estimates through an anisotropic Picone’s identity

Proceedings of the American Mathematical Society, 2014
Summary: Caccioppoli-type estimates for a class of nonlinear differential operators which include the \( p\)-Laplacian and the pseudo \( p\)-Laplacian as special cases are obtained by means of the differential identity involving an arbitrary norm in \( \mathbb{R}^n\) which generalizes the well-known multidimensional Picone's formula.
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Generalized Picone Identity for the Finsler p-Laplacian and its Applications

Ukrainian Mathematical Journal, 2022
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A TREATMENT OF STURM-LIOUVILLE EIGENVALUE PROBLEMS VIA PICONE'S IDENTITY

Analysis, 1985
In the present paper self-adjoint Sturm-Liouville eigenvalue problems of even order are considered. While the existing proofs of the classical results, in particular of Rayleigh's principle, use methods from the calculus of variations and from the theory of integral equations (in connection with Green's function), we derive these results from a ...
Kratz, W., Peyerimhoff, A.
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Picone type identities and definiteness of quadratic functionals on time scales

Applied Mathematics and Computation, 2009
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Roman Simon Hilscher, Vera Zeidan
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