Results 11 to 20 of about 5,661 (277)

A new kind of uniqueness theorems for inverse Sturm-Liouville problems [PDF]

Boundary Value Problems, 2017
We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.
Yuri Ashrafyan
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Sharp Liouville Theorems [PDF]

Advanced Nonlinear Studies, 2020
Abstract Consider the equation div ⁡ (
openaire   +4 more sources

Multiple Solutions for Second-Order Sturm–Liouville Boundary Value Problems with Subquadratic Potentials at Zero

Journal of Mathematics, 2021
We deal with the following Sturm–Liouville boundary value problem: −Ptx′t′+Btxt=λ∇xVt,x,  a.e. t∈0,1x0cos  α−P0x′0sin  α=0x1cos  β−P1x′1sin  β=0 Under the subquadratic condition at zero, we obtain the existence of two nontrivial solutions and infinitely ...
Dan Liu, Xuejun Zhang, Mingliang Song
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The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated.
Seyfollah Mosazadeh
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Some Results in the Theory of Fractional Order Integro-Differential Equation with Boundary Conditions [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2010
This paper deals with the existence and uniqueness of the solution for a boundary value problem of fractional order integro-differential equation, when  using Banach fixed point theorem and Shafer’s fixed point theorem.
Azzam Younes
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A Liouville theorem for a class of reaction–diffusion systems with fractional diffusion

, 2023
We prove a Liouville theorem on the positive bounded entire solution of a class of reaction–diffusion systems with fractional diffusion.
Guo, Jong-Shenq;Shimojo, Masahiko
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Cut loci and conjugate loci on Liouville surfaces [PDF]

, 2011
In the earlier paper (Itoh and Kiyohara, Manuscr Math 114:247–264, 2004), we showed that the cut locus of a general point on two-dimensional ellipsoid is a segment of a curvature line and proved "Jacobi’s last geometric statement" on the singularities of
Jin-ichi Itoh, Kazuyoshi Kiyohara, Kiyohara, Kazuyoshi, Itoh, Jin-ichi   +3 more
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

Opuscula Mathematica
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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Liouville’s theorem for generalized harmonic function [PDF]

Analysis and Mathematical Physics, 2020
In this paper, we give a more physical proof of Liouville's theorem for a class generalized harmonic functions by the method of parabolic equation.
Weihua Wang, Qihua Ruan
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Positive Solutions for a Higher-Order Semipositone Nonlocal Fractional Differential Equation with Singularities on Both Time and Space Variable

Journal of Function Spaces, 2019
In this paper, we consider the following higher-order semipositone nonlocal Riemann-Liouville fractional differential equation D0+αx(t)+f(t,x(t),D0+βx(t))+e(t)=0 ...
Kemei Zhang
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