Results 101 to 110 of about 641,065 (281)
On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative
Journal of Function Spaces, 2021 Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence
Zareen A. Khan, Rozi Gul, Kamal Shah
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LIOUVILLE THEOREMS FOR f-HARMONIC MAPS INTO HADAMARD SPACES [PDF]
, 2013 In this paper, we study harmonic functions on weighted manifolds and harmonic maps from weighted manifolds into Hadamard spaces introduced by Korevaar and Schoen. We prove various Liouville theorems for these har- monic maps.
B. Hua, Shiping Liu, C. Xia
semanticscholar +1 more source
Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley +1 more source
A Liouville theorem for polyharmonic functions [PDF]
Hiroshima Mathematical Journal, 2001 We give a short, elementary proof of a theorem which shows that if u is a polyharmonic function on R and the growth of uþ is suitably restricted, then u must be a polynomial.
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On ( p , q ) $(p,q)$ -classical orthogonal polynomials and their characterization theorems
Advances in Difference Equations, 2017 In this paper, we introduce a general ( p , q ) $(p, q)$ -Sturm-Liouville difference equation whose solutions are ( p , q ) $(p, q)$ -analogues of classical orthogonal polynomials leading to Jacobi, Laguerre, and Hermite polynomials as ( p , q ) → ( 1 ...
M Masjed-Jamei +3 more
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A Liouville theorem for ancient solutions to a semilinear heat equation and its elliptic counterpart
, 2020 We establish the nonexistence of nontrivial ancient solutions to the nonlinear heat equation $u_t=\Delta u+|u|^{p-1}u$ which are smaller in absolute value than the self-similar radial singular steady state, provided that the exponent $p$ is strictly ...
Sourdis, Christos
core
Electrical Conductivities and Low Frequency Opacities in the Warm Dense Matter Regime
Contributions to Plasma Physics, Volume 65, Issue 6, July 2025.ABSTRACT In this article, we examine different approaches for calculating low frequency opacities in the warm dense matter regime. The relevance of the average‐atom approximation and of different models for calculating opacities, such as the Ziman or Ziman–Evans models is discussed and the results compared to ab initio simulations.
Mikael Tacu +3 more
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Liouville theorems for fractional Hénon equation and system on $\mathbb{R}^n$
, 2015 In this paper, we establish some Liouville type theorems for positive solutions of fractional Henon equation and system in $\mathbb{R}^n$. First, under some regularity conditions, we show that the above equation and system are equivalent to the some ...
Jingbo Dou, Huaiyu Zhou
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The Impact of Memory Effects on Lymphatic Filariasis Transmission Using Incidence Data From Ghana
Engineering Reports, Volume 7, Issue 7, July 2025.Modeling Lymphatic Filariasis by incorporating disease awareness through fractional derivative operators. ABSTRACT Lymphatic filariasis is a neglected tropical disease caused by a parasitic worm transmitted to humans by a mosquito bite. In this study, a mathematical model is developed using the Caputo fractional operator.
Fredrick A. Wireko +5 more
wiley +1 more source
Liouville theorems for harmonic maps [PDF]
Inventiones Mathematicae, 1992 We prove several Liouville theorems for harmonic maps between certain classes of Riemannian manifolds. In particular, the results can be applied to harmonic maps from the Euclidean space (R m ,g 0) to a large class of Riemannian manifolds.
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