Results 61 to 70 of about 162,174 (157)

Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations

International Journal of Analysis and Applications, 2016
The main purpose of this article is to investigate the growth of meromorphic solutions to homogeneous and non-homogeneous second order linear differential equations f00+Af0+Bf = F, where A(z), B (z) and F (z) are meromorphic functions with finite order ...
Maamar Andasmas, Benharrat Belaidi
doaj   +2 more sources

Oscillation of fixed points of solutions to complex linear differential equations

Electronic Journal of Differential Equations, 2013
In this article, we study the relationship between the derivatives of the solutions to the differential equation $f^{(k)}+A_{k-1}f^{(k-1)}+dots +A_0f=0$ and entire functions of finite order.
Abdallah El Farissi, Maamar Benbachir
doaj  

Coherent Anti-Stokes Hyper-Raman Spectroscopy

Nature Communications
Coherent Raman scattering spectroscopies have been established as a powerful tool for investigating molecular systems with high chemical specificity. The existing coherent Raman scattering techniques detect only Raman active modes, which are a part of ...
Kazuki Inoue, Masanari Okuno
doaj   +1 more source

The hyper-order of solutions of certain linear complex differential equations [PDF]

Annales Polonici Mathematici, 2010
Guowei Zhang, Ang Chen
openaire   +1 more source

Growth and oscillation of differential polynomials in the unit disc

Electronic Journal of Differential Equations, 2010
In this article, we give sufficiently conditions for the solutions and the differential polynomials generated by second-order differential equations to have the same properties of growth and oscillation.
Abdallah El Farissi, Benharrat Belaidi, Zinelaabidine Latreuch   +2 more
doaj  

On the hyper order of solutions of linear differential equations with entire coefficients [PDF]

Mathematica Moravica, 2010
Karima Hamani, Benharrat Belaïdi
openaire   +1 more source

Hyper pooling private trips into high occupancy transit like attractive shared rides

npj Sustainable Mobility and Transport
The size of the solution space associated with the trip-matching problem has made the search for high-order ride-pooling prohibitive. We introduce hyper-pooled rides along with a method to identify them within urban demand patterns.
Rafał Kucharski, Oded Cats
doaj   +1 more source

Growth of meromorphic solutions of higher order linear differential equations

Electronic Journal of Differential Equations, 2014
In this article, we investigate the growth of meromorphic solutions of the differential equations $$\displaylines{ f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=0,\cr f^{(k)}+A_{k-1}f^{(k-1)}+\dots+A_0f=F, }$$ where $A_j, F$ $(j=0,\dots,k-1)$ are meromorphic
Lijun Wang, Huifang Liu
doaj  

Hyper-RAG: combating LLM hallucinations using hypergraph-driven retrieval-augmented generation. [PDF]

Nat Commun
Feng Y, Hu H, Ying S, Hou X, Liu S, Yang M, Li J, Du S, Zheng N, Hu H, Gao Y.   +10 more
europepmc   +1 more source

Self-organization and circular causation as synergetic foundations of social interaction: a multilayer network perspective. [PDF]

Front Netw Physiol
Müller V.
europepmc   +1 more source