MétaCan
Menu
Back to cohort
Record W318035778 · doi:10.1090/fic/042

Difference and Differential Equations

2004· book· en· W318035778 on OpenAlexaff
Saber Elaydi, Gerry Ladas, Xingfu Zou

Bibliographic record

VenueAmerican Mathematical Society eBooks · 2004
Typebook
Languageen
FieldMathematics
TopicDifferential Equations and Numerical Methods
Canadian institutionsMemorial University of NewfoundlandYork University
Fundersnot available
KeywordsMathematicsDifferential equationApplied mathematicsMathematical analysis

Abstract

fetched live from OpenAlex

Survey articles: The discretization of Volterra functional integral equations with proportional delays by H. Brunner The LPA model by J. M. Cushing A survey on oscillation of linear delay difference equations by X. Z. Qian and Z. C. Wang On almost automorphic oscillations by Y. Yi Research articles: Complex exponential Vandermonde determinant with application to discrete boundary value problem by R. M. Abu-Saris and K. I. Al-Dosary A convergence theorem related to iterative mean clustering by Y. Cao Global attractivity in a model of bobwhite quail with delay by A. Chen and L. Huang Linear time discrete periodic diffusion networks by S. S. Cheng, C.-W. Chen, and T. Y. Wu Convergence of solutions for a discrete-time system by B. Dai, X. Qian, and L. Huang Stabilities in Volterra difference equations on a Banach space by T. Furumochi, S. Murakami, and Y. Nagabuchi Periodic oscillation for a class of delay difference systems by S. Guo and L. Huang Applications of critical point theory to difference equations by Z. Guo and J. Yu Lie symmetries for lattice equations by D. Levi Global attractivity for a logistic equation with piecewise constant arguments by X. Li and Z. Wang Bounded oscillation for a class of second order neutral delay difference equations by X. Lin Asymptotic behavior in nonlinear discrete-time neural networks with delayed feedback by K. Liu and H. Zhang Asymptotic behavior and periodicity of solutions for a difference equation with piecewise constant nonlinearity by Y. Liu, L. Huang, and Z. Yuan Positive solutions of a non-autonomous delay model of single population by Y. Liu, Z. Zhou, and W. Ge Stability regions for a class of delay difference systems by H. Matsunaga Oscillation and nonoscillation results for higher-order nonlinear difference equations by M. Migda Stability of center fiber bundles for nonautonomous difference equations by C. Potzsche Bifurcation of maps and cycling in genetic systems by R. J. Sacker and H. F. von Bremen Nonoscillation and oscillation theorems for a fourth order nonlinear difference equation by E. Schmeidel On the equation $x_{n+1}=cx_{n}+f(x_{n}-x_{n-1})$ by H. Sedaghat Stability criteria for a kind of delay functional equation by C. Tian, J. Zhang, and Z. Ji Exponential stability of delay difference equations with applications to neural networks by L. Wang and X. Zou Asymptotic behavior of solutions of linear difference-differential equations with oscillating coefficients by X. Wang and L. Liao Analysis of a discrete predator-prey model by W. Wendi Oscillation for nonautonomous neutral difference equations with variable coefficients by H.-W. Wu and Y.-T. Xu Oscillation of higher-order nonlinear delay difference equations by Z. Yinggao Coexistence of multiple attractive periodic solutions in a discrete-time neural network by Z. Yuan, L. Huang, and Z. Zhou Necessary and sufficient conditions for the existence of positive solutions of nonlinear difference equations by R. Y. Zhang, Z. C. Wang, and J. S. Yu Periodic solutions of a class of difference systems by Z. Zhou and Q. Zhang Dynamic analysis of a discrete-time network of two neurons with delayed feedback by H. Zhu and L. Huang Open problems and conjectures: Open problems and conjectures by S. Elaydi Discretization of Volterra integral equations with weakly singular kernels by H. Brunner Nonautonomous difference equations: Open problems and conjectures by S. Elaydi On period-two solutions of $x_{n+1} =\frac{\alpha + \beta x_{n}+\gamma x_{n-1}}{A + Bx_{n}+ C x_{n-1}}$ by E. A. Grove and G. Ladas Open problems on cycling in genetic systems by R. J. Sacker and H. F. von Bremen On periodic solutions of systems of two difference equations by J. Wu.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.003
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Other · Consensus signal: none
Teacher disagreement score0.020
Threshold uncertainty score0.068

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.003
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0020.003
Science and technology studies0.0010.002
Scholarly communication0.0020.002
Open science0.0010.001
Research integrity0.0020.003
Insufficient payload (model declined to judge)0.0200.005

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.049
GPT teacher head0.330
Teacher spread0.281 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreOther

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations3
Published2004
Admission routes1
Has abstractyes

Explore more

Same venueAmerican Mathematical Society eBooksSame topicDifferential Equations and Numerical MethodsFrench-language works237,207