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Record W1998939780 · doi:10.1017/s001309150800103x

Sturm-Liouville problems for the <i>p</i>-Laplacian on a half-line

2010· article· en· W1998939780 on OpenAlexafffund
Paul Binding, Patrick J. Browne, Illya M. Karabash

Bibliographic record

VenueProceedings of the Edinburgh Mathematical Society · 2010
Typearticle
Languageen
FieldMathematics
TopicSpectral Theory in Mathematical Physics
Canadian institutionsUniversity of SaskatchewanUniversity of Calgary
FundersNatural Sciences and Engineering Research Council of CanadaUniversity of Calgary
KeywordsEigenvalues and eigenvectorsMathematicsHalf lineLine (geometry)Nonlinear systemLaplace operatorp-LaplacianMathematical analysisSturm–Liouville theoryPure mathematicsApplied mathematicsMathematical physicsCombinatoricsPhysicsGeometryQuantum mechanicsBoundary value problem

Abstract

fetched live from OpenAlex

Abstract The nonlinear eigenvalue problem for 0 ≤ x &lt; ∞, fixed p ∈ (1, ∞), and with y ′(0)/ y (0) specified is studied under various conditions on the coefficients s and q , leading to either oscillatory or non-oscillatory situations.

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 distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.003
metaresearch head score (Gemma)0.005
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.088
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0030.005
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0000.001
Science and technology studies0.0010.001
Scholarly communication0.0000.000
Open science0.0020.000
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0000.000

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 head0.037
GPT teacher head0.304
Teacher spread0.267 · 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 teacher head, not a consensus.

Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

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

Citations5
Published2010
Admission routes2
Has abstractyes

Explore more

Same venueProceedings of the Edinburgh Mathematical SocietySame topicSpectral Theory in Mathematical PhysicsFrench-language works237,207