{"id":"W2330969023","doi":"10.1515/anona-2015-0158","title":"Theory and applications of first-order systems of Stieltjes differential equations","year":2016,"lang":"en","type":"article","venue":"Advances in Nonlinear Analysis","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":63,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Differential equation; Mathematical analysis; Uniqueness; Ordinary differential equation; Examples of differential equations; Differential algebraic equation; Numerical partial differential equations; Riemann–Stieltjes integral; Applied mathematics; Integral 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004151601,0.0001557972,0.0006381969,0.0007819799,0.00005551892,0.00001130639,0.0002061733,0.00007304298,0.0002199494],"category_scores_gemma":[0.0007007261,0.0001093012,0.0002064509,0.001838257,0.0002131794,0.0001877681,0.00007135676,0.00006107752,0.000002442095],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000277399,"about_ca_system_score_gemma":0.00002395327,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008739193,"about_ca_topic_score_gemma":0.001513997,"domain_scores_codex":[0.9982846,0.0001739336,0.000806024,0.0002791107,0.0002976961,0.0001586074],"domain_scores_gemma":[0.9961562,0.002489859,0.0004641142,0.0005257089,0.0003156579,0.00004846927],"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":[0.0002000127,0.002411543,0.1946803,0.001282317,0.006172167,0.000001818073,0.0009354933,0.005265248,0.003991055,0.733752,0.00001384808,0.05129431],"study_design_scores_gemma":[0.006446594,0.0004096872,0.01129337,0.00112781,0.02840479,0.000004016284,0.005115303,0.4534191,0.009383706,0.4749411,0.007130225,0.002324349],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06826522,0.001254503,0.9297833,0.00003694876,0.00002577646,0.000226344,0.0002255033,0.00001935273,0.0001630034],"genre_scores_gemma":[0.983443,0.000803564,0.01500667,0.000002220883,0.00006409321,0.00007690906,0.00003572708,0.0000173046,0.0005505509],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9151778,"threshold_uncertainty_score":0.4457174,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0145500768160548,"score_gpt":0.314301742115182,"score_spread":0.2997516652991272,"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."}}