{"id":"W1991041849","doi":"10.1016/j.jmaa.2014.10.045","title":"Existence, computability and stability for solutions of the diffusion equation with general piecewise constant argument","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Fondo Nacional de Desarrollo Científico y Tecnológico","keywords":"Mathematics; Piecewise; Constant (computer programming); Interval (graph theory); Series (stratigraphy); Exponential stability; Convergence (economics); Variable (mathematics); Computability; Applied mathematics; Stability (learning theory); Mathematical analysis; Exponential function; Discrete mathematics; Nonlinear system; Combinatorics","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":[0.0006870023,0.00008956916,0.0003608182,0.00006167634,0.0001529215,0.00002207853,0.00009228217,0.00003630886,0.00001967738],"category_scores_gemma":[0.0001238243,0.00005360676,0.0001643897,0.0002807194,0.0002454688,0.00005552922,0.00002567809,0.0000785149,1.582774e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002699829,"about_ca_system_score_gemma":0.00002153667,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000426996,"about_ca_topic_score_gemma":0.00004411314,"domain_scores_codex":[0.9989965,0.00006010613,0.0005427966,0.0001087197,0.0001921679,0.00009970864],"domain_scores_gemma":[0.9986836,0.0005943788,0.0001816741,0.0002286841,0.0002371426,0.00007449555],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001401583,0.002249752,0.02689048,0.001529466,0.002157349,5.721939e-8,0.001647339,0.01691644,0.01488766,0.8773802,0.00002269788,0.0561784],"study_design_scores_gemma":[0.0007065942,0.0001205588,0.02889982,0.00003408266,0.001656805,0.000003124828,0.0002605138,0.7203079,0.0005693233,0.2472026,0.0001226058,0.0001160597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4203537,0.00004406215,0.578953,0.0003169828,0.000005513803,0.0002435046,0.00002400185,0.000005382661,0.0000538559],"genre_scores_gemma":[0.9877712,0.00001291723,0.01212374,0.000009426774,0.00002585258,0.00004748979,0.000002575559,0.000003900936,0.000002953078],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7033915,"threshold_uncertainty_score":0.218602,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01935370122543564,"score_gpt":0.2221874051744886,"score_spread":0.2028337039490529,"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."}}