{"id":"W2054350359","doi":"10.1007/s11464-010-0005-9","title":"Second-order differentiability with respect to parameters for differential equations with adaptive delays","year":2010,"lang":"en","type":"article","venue":"Frontiers of Mathematics in China","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University; Memorial University of Newfoundland; Wilfrid Laurier University","funders":"","keywords":"Mathematics; Differentiable function; Norm (philosophy); Differential equation; Mathematical analysis; Order (exchange); Class (philosophy); Extension (predicate logic); Applied mathematics; Contraction principle; Pure mathematics; Fixed point; Law","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":[0.001200825,0.001008178,0.0007295558,0.0007856588,0.0005040701,0.001696721,0.0007705229,0.001046207,0.001280456],"category_scores_gemma":[0.004635498,0.000345097,0.0006325518,0.0008052932,0.001352044,0.001763398,0.001037703,0.001818357,0.0001088492],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001423821,"about_ca_system_score_gemma":0.00123072,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004793595,"about_ca_topic_score_gemma":0.002537772,"domain_scores_codex":[0.9997057,0.00007431718,0.00001815668,0.00008371122,0.00007321608,0.00004488018],"domain_scores_gemma":[0.9982712,0.001071317,0.0002197576,0.00008409443,0.0002716624,0.00008190484],"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":[0.000289834,0.0001103136,0.002399884,0.0003615191,0.0001197763,0.0004246671,0.001001253,0.2982835,0.02954177,0.6297155,0.001296312,0.03645568],"study_design_scores_gemma":[0.0000377289,0.00009091595,0.0008888704,0.0000146826,0.00002669872,0.00009774101,0.0000675978,0.8957152,0.001860816,0.09996387,0.001203796,0.00003208056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2191977,0.002144592,0.7636041,0.0009225947,0.0002508228,0.00005023694,0.0001501879,0.0001425375,0.0135373],"genre_scores_gemma":[0.9723701,0.001201675,0.0149093,0.000104674,0.0001088508,0.00008183476,0.00009434784,0.00005098818,0.01107812],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004793595,"threshold_uncertainty_score":0.01033062,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01204379394617061,"score_gpt":0.221138908593373,"score_spread":0.2090951146472024,"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."}}