{"id":"W4400366555","doi":"10.1080/17476933.2024.2372105","title":"On the solvability of some systems of integro-differential equations with and without a drift","year":2024,"lang":"en","type":"article","venue":"Complex Variables and Elliptic Equations","topic":"advanced mathematical theories","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Differential equation; Mathematical analysis; Integro-differential equation; Differential (mechanical device); Applied mathematics; First-order partial differential equation","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001471099,0.001159153,0.001006987,0.001084845,0.001137803,0.001793397,0.0007029441,0.002078912,0.001693702],"category_scores_gemma":[0.00495584,0.0003946941,0.001472006,0.0004430792,0.002342485,0.00184899,0.002641362,0.001370573,0.0001556902],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007482233,"about_ca_system_score_gemma":0.0006359236,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001311201,"about_ca_topic_score_gemma":0.0005089384,"domain_scores_codex":[0.9995348,0.000154056,0.00003210268,0.00008978041,0.0001015361,0.00008772524],"domain_scores_gemma":[0.9987304,0.0007044534,0.0002316199,0.00004963774,0.0001466326,0.0001372574],"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":[0.0003478659,0.0001533802,0.004672331,0.0006047722,0.0003047498,0.00281825,0.001887991,0.1033057,0.02528002,0.849243,0.001570512,0.009811332],"study_design_scores_gemma":[0.0001923015,0.0002848909,0.001293412,0.00007901648,0.00008437436,0.0006904812,0.0004925899,0.6948262,0.005122942,0.294901,0.001965195,0.00006770702],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6219578,0.001526455,0.3541042,0.002189582,0.0001906517,0.0001552241,0.0002313831,0.0001408344,0.01950395],"genre_scores_gemma":[0.9718676,0.0004923008,0.02181786,0.0001250003,0.0001127307,0.0001358246,0.0001432942,0.00003532541,0.005270207],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002078912,"threshold_uncertainty_score":0.007780015,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08428415956153532,"score_gpt":0.3213150165731243,"score_spread":0.237030857011589,"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."}}