{"id":"W1992644747","doi":"10.1016/j.cam.2005.03.029","title":"Multiple eigenvalues for singular Hammerstein integral equations with applications to boundary value problems","year":2005,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Mathematical analysis; Ordinary differential equation; Boundary value problem; Integral equation; Operator (biology); Spectrum (functional analysis); Spectral radius; Upper and lower bounds; Singular integral; Differential equation","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00148439,0.001257158,0.001582612,0.00218211,0.001394809,0.002842918,0.00132898,0.00290603,0.00449237],"category_scores_gemma":[0.006989556,0.0007531092,0.0009464821,0.001155079,0.00291698,0.003814929,0.002711248,0.002885221,0.0004336077],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008372699,"about_ca_system_score_gemma":0.0007093344,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006808992,"about_ca_topic_score_gemma":0.0006691766,"domain_scores_codex":[0.9995372,0.0001362253,0.00003223409,0.00006988735,0.0001737433,0.00005071512],"domain_scores_gemma":[0.9977958,0.001182244,0.0002453422,0.0001210958,0.0003517681,0.0003037423],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001217599,0.0001009295,0.0004843102,0.0001756147,0.00004142205,0.0006637537,0.0004286947,0.0428354,0.007206937,0.923094,0.00189778,0.02294944],"study_design_scores_gemma":[0.00002700134,0.00002267457,0.0002003671,0.00003440211,0.00001197682,0.0002729893,0.0001407655,0.3831371,0.0007160629,0.6142311,0.001168405,0.00003716415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1402657,0.00318719,0.8230889,0.002806052,0.0009725295,0.00007145965,0.00004891573,0.0003368124,0.02922236],"genre_scores_gemma":[0.8782441,0.001728069,0.09775829,0.0003380094,0.0006345593,0.0001062493,0.00006200173,0.0002351975,0.0208935],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00449237,"threshold_uncertainty_score":0.01502848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02407852457426352,"score_gpt":0.2659655542637718,"score_spread":0.2418870296895083,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}