Results 61 to 70 of about 666,505 (227)

Existence results involving fractional Liouville derivative

Boletim da Sociedade Paranaense de Matemática, 2020
In this paper we investigate the question of existence of nonnegative solution to some fractional liouville equation. Our main tools based on the well known Krasnoselskiis xed point theorem.
Abdeljabbar Ghanmi, Mazen Althobaiti
doaj   +1 more source

A Note on Liouville Theorem for Stationary Flows of Shear Thickening Fluids in the Plane [PDF]

, 2012
In this paper we consider the entire weak solutions of the equations for stationary flows of shear thickening fluids in the plane and prove Liouville theorem under the global boundedness condition of velocity fields.
Guo Zhang
semanticscholar   +1 more source

Spectral Parameter Power Series for Zakharov‐Shabat Direct and Inverse Scattering Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study the direct and inverse scattering problems for the Zakharov‐Shabat system. Representations for the Jost solutions are obtained in the form of the power series in terms of a transformed spectral parameter. In terms of that parameter, the Jost solutions are convergent power series in the unit disk.
Vladislav V. Kravchenko
wiley   +1 more source

Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions.
Ahmad Bashir, Ntouyas Sotiris K.
doaj   +1 more source

Boundary value problems of fractional q-difference equations on the half-line

Boundary Value Problems, 2019
In this paper, we consider the boundary value problem of a class of nonlinear fractional q-difference equations involving the Riemann–Liouville fractional q-derivative on the half-line.
Kuikui Ma, Xinhui Li, Shurong Sun
doaj   +1 more source

A quantitative version of Gordon's Theorem for Jacobi and Sturm-Liouville operators [PDF]

, 2014
We prove a quantitative version of Gordon's Theorem concerning absence of eigenvalues for Jacobi matrices and Sturm-Liouville operators with complex coefficients.Comment: 22 ...
Seifert, Christian
core  

Sharp Gradient Estimate and Yau's Liouville Theorem for the Heat Equation on Noncompact Manifolds [PDF]

, 2005
We derive a sharp, localized version of elliptic type gradient estimates for positive solutions (bounded or not) to the heat equation. These estimates are related to the Cheng–Yau estimate for the Laplace equation and Hamilton's estimate for bounded ...
P. Souplet, Qi S. Zhang
semanticscholar   +1 more source

Inhomogeneous Khintchine–Groshev theorem without monotonicity

Bulletin of the London Mathematical Society, EarlyView.
Abstract The Khintchine–Groshev theorem in Diophantine approximation theory says that there is a dichotomy of the Lebesgue measure of sets of ψ$\psi$‐approximable numbers, given a monotonic function ψ$\psi$. Allen and Ramírez removed the monotonicity condition from the inhomogeneous Khintchine–Groshev theorem for cases with nm⩾3$nm\geqslant 3$ and ...
Seongmin Kim
wiley   +1 more source

An Extension of The First Eigen-type Ambarzumyan theorem

, 2019
An extension of the first eigenvalue-type Ambarzumyan's theorem are provided for the arbitrary self-adjoint Sturm-Liouville differential operators.
Kıraç, Alp Arslan
core   +1 more source

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source