{"id":"W4410128480","doi":"10.1007/978-3-031-84323-5_13","title":"Existence and Controllability for Second-Order Neutral Functional Integro-differential Equations with Infinite Delay and Random Effects","year":2025,"lang":"en","type":"book-chapter","venue":"Nonlinear systems and complexity","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Controllability; Mathematics; Order (exchange); Mathematical analysis; Applied mathematics; Economics","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002511969,0.0004927251,0.0009993436,0.0001253732,0.0003053683,0.0002099022,0.00009247264,0.0003319666,0.00006836953],"category_scores_gemma":[0.0001269946,0.0004277655,0.0001229119,0.00004702658,0.0004569734,0.0001131797,0.00006214533,0.0003934267,0.000001288714],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005967057,"about_ca_system_score_gemma":0.0001019658,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001311171,"about_ca_topic_score_gemma":0.002246819,"domain_scores_codex":[0.9983312,0.00006787574,0.0005713951,0.0005647909,0.0001918084,0.0002728602],"domain_scores_gemma":[0.9974136,0.001630112,0.0001186292,0.0003361781,0.000338389,0.0001630321],"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":[0.003314156,0.000228641,0.0006569639,0.01398843,0.002657679,0.000005441594,0.0007036404,0.0008279929,0.0002987683,0.9624194,0.0003051443,0.01459377],"study_design_scores_gemma":[0.02259156,0.0009867962,0.006506827,0.001343243,0.001524669,0.00004559902,0.0001726086,0.8851194,0.00002589992,0.05770723,0.02214337,0.001832746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1633319,0.00827695,0.7859052,0.0003620927,0.002231434,0.009136282,0.005373887,0.0006072966,0.02477495],"genre_scores_gemma":[0.9804555,0.00007774989,0.002711625,0.00007503299,0.0006048293,0.0005205587,0.0006748522,0.0000821034,0.0147977],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9047121,"threshold_uncertainty_score":0.9998174,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02994934087833262,"score_gpt":0.2253995849614125,"score_spread":0.1954502440830799,"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."}}