Results 71 to 80 of about 5,661 (277)

Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems

open access: yesBoundary Value Problems, 2019
In this paper, we investigate the existence and uniqueness of solutions for mixed fractional q-difference boundary value problems involving the Riemann–Liouville and the Caputo fractional derivative. By using the Guo–Krasnoselskii fixed point theorem and
Lulu Zhang, Shurong Sun
doaj   +1 more source

On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials

open access: yesMathematics, 2020
Using the Sturm–Liouville theory in q-difference spaces, we prove the finite orthogonality of q-Pseudo Jacobi polynomials. Their norm square values are then explicitly computed by means of the Favard theorem.
Mohammad Masjed-Jamei   +3 more
doaj   +1 more source

Liouville‐Type Theorems for the Stationary Tropical Climate Model Without Temperature Assumptions

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 5, May 2026.
ABSTRACT We establish Liouville‐type theorems for smooth solutions to the stationary tropical climate model in R3$\mathbb {R}^3$, which couples barotropic velocity and baroclinic velocity with temperature. Under mild decay conditions on the velocity components, we prove that the only solution is trivial: u=v=0$\mathbf {u}= \mathbf {v}= 0$ and θ$\theta$
Youseung Cho, Minsuk Yang
wiley   +1 more source

On Liouville's theorem and the Strong Liouville Property

open access: yes
This new version refines the previous version of the paper titled "On Liouville's theorem". A section has been added where a Liouville-type theorem is shown for the p-Laplacian on a Riemannian surface with a pole with $p\ge 2$ under a curvature condition. The title has changed.
Bravo, John E., Cortissoz, Jean C.
openaire   +2 more sources

Modeling the Detectability of Energetic Heliospheric Ions at Pluto During the New Horizons Flyby

open access: yesJournal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.
Abstract We investigate the detectability of heliospheric helium ions at energies up to 100 keV by the New Horizons (NH) spacecraft during its flyby through Pluto's induced magnetosphere. The Pluto Energetic Particle Spectrometer Science Investigation energetic ion detector observed a reduction in their flux by an order of magnitude as the spacecraft ...
Randall T. Ruch   +3 more
wiley   +1 more source

A note on the singular Sturm-Liouville problem with infinitely many solutions

open access: yesElectronic Journal of Differential Equations, 2002
We consider the Sturm-Liouville nonlinear boundary-value problem $$ displaylines{ -u''(t) = a(t)f(u(t)), quad 0 < t < 1, cr alpha u(0) - eta u'(0) =0, quad gamma u(1) + delta u'(1) = 0, } $$ where $alpha$, $eta$, $gamma$, $delta geq 0$, $alpha gamma ...
Nickolai Kosmatov
doaj  

Uncertain fractional forward difference equations for Riemann–Liouville type

open access: yesAdvances in Difference Equations, 2019
To model complex systems with discrete-time features and memory effects in the uncertain environment, a definition of an uncertain fractional forward difference equation with Riemann–Liouville-like forward difference is introduced.
Qinyun Lu, Yuanguo Zhu, Ziqiang Lu
doaj   +1 more source

On Hochstadt-Lieberman Theorem For Sturm-Liouville Operators

open access: yes, 2011
The inverse spectral problem of the Sturm-Liouville operator Lq = -d2/dx2 +q(x) is considered, where q(x) is an integrable function on (0,1).
Shieh, Chung-tsun; Buterin, S. A.; Ignatiev, Mikhail   +1 more
core  

A variant of the complex Liouville-Green approximation theorem [PDF]

open access: yes, 2000
summary:We propose a variant of the classical Liouville-Green approximation theorem for linear complex differential equations of the second order. We obtain rigorous error bounds for the asymptotics at infinity, in the spirit of F. W. J.
VIANELLO, M.   +3 more
core  

Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher   +2 more
wiley   +1 more source

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