Results 111 to 120 of about 1,718 (227)

在有限區間向量型Sturm-Liouville方程式的唯一性定理

open access: yes, 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   +1 more
core  

Half-inverse Sturm-Liouville problem on a time scale

open access: yes, 2020
In this paper, we consider a half-inverse Sturm-Liouville problem on a time scale which is the union of an interval and another time scale such as . We give a Hochstadt-Lieberman-type theorem for a Sturm-Liouville dynamic equation with Robin boundary ...
Ozkan, A. Sinan, Adalar, Ibrahim
core   +1 more source

Existence of solutions for a system of mixed fractional differential equations

open access: yesJournal of Taibah University for Science, 2018
The aim of this work is to investigate, by the help of Krasnoselskii's fixed point theorem, the existence of solutions for a system of fractional differential equations involving left and right Riemann–Liouville fractional derivatives.
A. Guezane-Lakoud, S. Ramdane
doaj   +1 more source

A Liouville-type theorem for biharmonic maps between complete Riemannian manifolds with small energies

open access: yes, 2018
We prove a Liouville-type theorem for biharmonic maps from a complete Riemannian manifold of dimension n that has a lower bound on its Ricci curvature and positive injectivity radius into a Riemannian manifold whose sectional curvature is bounded from ...
Branding, Volker (Faculty of Mathematics, Faculty of Mathematics, University of Vienna)
core   +1 more source

A Refined Approach for Non-Negative Entire Solutions of Δ u + up = 0 with Subcritical Sobolev Growth

open access: yesAdvanced Nonlinear Studies, 2017
Let N≥2{N\geq 2} and ...
Villavert John
doaj   +1 more source

Gradient Estimates and a Liouville Type Theorem for the Schrödinger Operator

open access: yes, 1995
In this paper, we derive a Liouville type theorem on a complete Riemannian manifold without boundary and with nonnegative Ricci curvature for the equation Δu(x)+h(x)u(x)=0, where the conditions limr→∞r−1.supx ∈ Bp(r)|Δh(x)| = 0 and h ≥ 0 imposed by P. Li
Negrin, E.R.
core   +1 more source

Positive Solution to Nonzero Boundary Values Problem for a Coupled System of Nonlinear Fractional Differential Equations

open access: yesInternational Journal of Differential Equations, 2010
We consider the existence and uniqueness of positive solution to nonzero boundary values problem for a coupled system of fractional differential equations. The differential operator is taken in the standard Riemann-Liouville sense.
Jinhua Wang, Hongjun Xiang, Zhigang Liu
doaj   +1 more source

Ambarzumyan-type theorem for the Sturm-Liouville operator on the lasso graph

open access: yes, 2023
We consider the Sturm-Liouville operator on the lasso graph with a segment and a loop joined at one point, which has arbitrary length. The Ambarzumyan's theorem for the operator is proved, which says that if the eigenvalues of the operator coincide with ...
Yang, Chuan-Fu, Wang, Feng
core  

An application of a global bifurcation theorem to the existence of solutions for integral inclusions

open access: yesElectronic Journal of Differential Equations, 2008
We prove the existence of solutions to Hammerstein integral inclusions of weakly completely continuous type. As a consequence we obtain an existence theorem for differential inclusions, with Sturm-Liouville boundary conditions, $$displaylines{ u''
Stanislaw Domachowski
doaj  

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