Results 51 to 60 of about 10,766,583 (291)
Meromorphic solutions to non-linear differential-difference equations
We consider the non-linear differential-difference equation $$ c(z)w(z+1)+a(z)\frac{w'(z)}{w(z)}=R(z,w(z)), $$ where R(z,w(z)) is rational in w(z) with rational coefficients, a(z) and c(z) are non-zero rational functions.
Changjiang Song, Kai Liu, Lei Ma
doaj
Entire Solutions of Painlevé V-Type Differential- Difference Equation
This research focuses on the following equation: (g¯g−1)(gg̲−1)+B(z)g′(z)g(z)=R(z,g)=P(z,g)Q(z,g), where P(z,g) and Q(z,g) represent polynomials in g, possessing rational coefficients in z and lacking shared roots, B(z) is rational, and g¯≡g(z+1),g̲≡g(z ...
Changwen Peng, Zhijin Zhou, Huawei Huang
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The authors address the complex oscillation problems of all solutions of homogenous linear differential equations with meromorphic coefficients. Sufficient conditions for estimating the growth of meromorphic solution with infinite order have been proposed based on Nevanlinna value distribution theory.
Zhongwei He, Lingyun Gao
openaire +2 more sources
ABSTRACT Methane's efficient catalytic removal is vital for sustainable development. Bimetallic catalysts, though promising for methane activation, pose a design challenge due to their complex compositional space. This work introduces an integrated framework that combines high‐throughput density functional theory (DFT) and interpretable machine ...
Mingzhang Pan +8 more
wiley +1 more source
In this article, we study the growth of transcendental solutions of certain higher order linear differential equations with entire coefficients. Under some conditions, we prove that every transcendental solution is of infinite order.
Karima Hamani
doaj
The Hyper-Kamiokande or Hyper-K, as a straightforward extension of the Super-Kamiokande, will provide major new capabilities to make new discoveries in particle and astroparticle physics thanks to an order of magnitude increase in detector mass and ...
Shiozawa, Masato +1 more
core +1 more source
In this paper, due to the Borel lemma and Clunie lemma, we will deduce the relationship between an entire function f of hyper-order less than 1 and its n-th difference operator ?nc f (z) if they share a finite set and f has a Borel exceptional value 0, where the set consists of two entire functions of smaller orders.
Hongxiao Guo, Feng Lü, Weiran Lü
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TED1 Promotes the Assembly of SCFD3‐D14‐D53 to Reinforce Strigolactone Signaling in Rice
This study identifies TED1 as a positive regulator of strigolactones (SL) signaling in rice. The ted1 mutants display dwarfism and increased tillering with significantly reduced SLs sensitivity. Through its longer C‐terminal region, TED1 interacts with D53 and D14 to promote the assembly of SCFD3‐D14‐D53, thereby facilitating the efficient ...
Sheng Luo +22 more
wiley +1 more source
On the Growth of Solutions of Nonhomogeneous Higher order Complex Linear Differential Equations
The nonhomogeneous higher order linear complex differential equation (HOLCDE) with meromorphic (or entire) functions is considered in this paper. The results are obtained by putting some conditions on the coefficients to prove that the hyper order of ...
Ayad Alkhalidy
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ABSTRACT Bile acids have been implicated in calcium oxalate (CaOx) nephrolithiasis. Here, we employ multi‐omics approaches to identify isoallolithocholic acid (isoalloLCA) as the key bile acid elevated in the feces, serum, kidney, and urine of CaOx rats, confirmed by spatial metabolomics.
Zijian Zhou +9 more
wiley +1 more source

