Results 51 to 60 of about 654,091 (289)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Electronic Research ArchiveIn this paper, we employed the Bernstein method to prove some Liouville-type theorems of the equation $ \Delta_{p_1, \cdots, p_r}v+f(v) = 0 $. Here, $ \Delta_{p_1, \cdots, p_r}v: = \mathrm{div}(\sum_{i = 1}^r|\nabla v|^{p_i-2}\nabla v) $.
Fanqi Zeng +3 more
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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Sampling Theorems for Sturm Liouville Problem with Moving Discontinuity Points
, 2014 In this paper, we investigate the sampling analysis for a new Sturm-Liouville problem with symmetrically located discontinuities which are defined to depending on a neighborhood of a midpoint of the interval.
Altinisik, Nihat, Hira, Fatma
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Liouville theorems for stable solutions of the weighted Lane-Emden system [PDF]
, 2015 We examine the general weighted Lane-Emden system \begin{align*} -\Delta u = \rho(x)v^p,\quad -\Delta v= \rho(x)u^\theta, \quad u,v>0\quad \mbox{in }\;\mathbb{R}^N \end{align*} where $10$.
Hatem Hajlaoui, A. Harrabi, F. Mtiri
semanticscholar +1 more source
SOME REMARKS ON LIOUVILLE TYPE THEOREMS [PDF]
Recent Advances in Nonlinear Analysis, 2008 The goal of this note is to present elementary proofs of statements related to the Liouville theorem.
Brezis, H, Chipot, M, Xie, Y
openaire +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
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On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators
Cumhuriyet Science Journal, 2019 In this paper, theinverse spectral problems of Sturm-Liouville operators are considered. Some newuniqueness theorems and analogies of the Mochizuki-Trooshin Theorem are proved.2010 Mathematics Subject Classification. Primary34A55, 34B24; Secondary 34L05.
İbrahim Adalar
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Riemannian Polyhedra and Liouville-type Theorems for Harmonic maps
, 2014 This paper is a study of harmonic maps from Riemannian polyhedra to (locally) non-positively curved geodesic spaces in the sense of Alexandrov. We prove Liouville-type theorems for subharmonic functions and harmonic maps under two different assumptions ...
Sinaei, Zahra
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Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.Abstract In Saturn's magnetosphere, the inward transport of magnetic flux is largely carried by localized injection flux tubes filled with warm, tenuous plasma, although their inflow speeds and spatio‐temporal properties remain poorly constrained. Here, we propose that these flux tubes can modify electron microsignatures, the small‐scale, absorption ...
Ya‐Ze Wu +7 more
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