Results 111 to 120 of about 359,042 (221)

Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions

International Journal of Analysis and Applications, 2017
In this paper, we study a new kind of nonlocal boundary value problems of nonlinear fractional differential equations and inclusions supplemented with nonlocal and generalized Riemann-Liouville fractional integral boundary conditions.
Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi   +2 more
doaj   +2 more sources

Non-trivial solutions for Sturm-Liouville systems via a local minimum theorem for functionals

, 2013
In this paper, employing a very recent local minimum theorem for differentiable functionals, the existence of at least one non-trivial solution for a class of systems of \(n\) second-order Sturm-Liouville equations is established.
Bonanno, G., Heidarkhani, S., O'Regan, D.   +2 more
core   +1 more source

The Liouville Theorem for a Quasi-Linear Elliptic Partial Differential Equation [PDF]

, 1962
The classical Liouville Theorem of analytic function theory can be stated in either of two equivalent forms: The Liouville Theorem states: If f(w) is analytic and bounded throughout the finite w-plane, then f(w) is constant.
Jackson, Lloyd K., Bohn, Elwood
core  

Functions of bounded generalized fractional differential variation: Results and examples

Examples and Counterexamples
In this paper, improved composition formula for Riemann–Liouville fractional integrals, generalized mean value theorem for Caputo fractional derivatives and generalized Taylor’s formula are proved.
Sudhir Kumar, Jyotindra Prajapati
doaj   +1 more source

在有限區間向量型Sturm-Liouville方程式的唯一性定理

, 2013
博士關於定義在區間的非對稱形Sturm-Liouville 微分方程式的反問題研究及學習，Yurko ( [24] , 2006)利用Weyl矩陣，提出了矩陣邊界值問題的反問題有唯一性的定理。 在本篇論文，首先；對於Sturm-Liouville矩陣微分方程式含有一般的邊界條件的反問題，我們將証明ㄧ般的h1 , H1，亦可得到Q(x)有唯一性。利用矩陣型式邊界值反問題的唯一性，我們主要工作是在向量微分方程式邊界值反問題上，探求向量頻譜(spectral sets)與位階函數Q(x)唯一性的關係 ...
Shieh, Chung-Tsun, Chang, Tsorng-Hwa; Shieh, Chung-Tsun   +1 more
core  

The sharp exponent for a Liouville-type theorem for an elliptic inequality

, 2002
We determine the sharp exponent for a Liouville-type theorem for an elliptic inequality. This answers a question raised in [1] which is related to a conjecture by De Giorgi [5]
GAZZOLA, FILIPPO
core  

Liouville-type theorem for the stationary inhomogeneous Navier-Stokes equations [PDF]

In this manuscript, a new Liouville-type theorem for the three-dimensional stationary inhomogeneous Navier-Stokes equations is established. We first localize the Dirichlet energy into the region near the origin in frequency spaces by two times ...
Ding, Huiting, Tan, Wenke
core   +1 more source

A simple proof of the spectral continuity of the Sturm-Liouville problem [PDF]

, 1997
The aim of this article is to present a simple proof of the theorem about perturbation of the Sturm-Liouville operator in Liouville normal ...
Kosowski, PrzemysŁaw
core  

Newton-type inequalities for the class of modified hyperbolic p-convex functions via Riemann-Liouville fractional integrals with numerical justifications. [PDF]

PLoS One
Iqra I, Nosheen A, Khan KA, Riaz S, Kahungu MK.   +4 more
europepmc   +1 more source

A general Liouville-type theorem for the 3D steady-state Magnetic-Bénard system [PDF]

We establish a Liouville-type theorem for the elliptic and incompressible Magnetic-Bénard system defined over the entire three-dimensional space. Specifically, we demonstrate the uniqueness of trivial solutions under the condition that they belong to ...
Jarrin, Oscar
core   +1 more source