{"id":"W2014839485","doi":"10.1016/s0895-7177(02)00167-x","title":"Generalized perturbation equation for integral and integro-differential equations and applications","year":2002,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Mathematics; Integral equation; Integro-differential equation; Volterra integral equation; Differential equation; Nonlinear system; Mathematical analysis; Perturbation (astronomy); Summation equation; Applied mathematics; First-order partial differential equation; Physics","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":[0.000706384,0.001094687,0.001448533,0.001296742,0.0006252895,0.001463928,0.001230323,0.001782682,0.004405579],"category_scores_gemma":[0.001765465,0.0003496219,0.001004435,0.001179462,0.0016348,0.002860514,0.001739494,0.002283661,0.0009833772],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008140202,"about_ca_system_score_gemma":0.0007801496,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001256058,"about_ca_topic_score_gemma":0.000902315,"domain_scores_codex":[0.9996532,0.000136449,0.00001688489,0.00004225461,0.0001272747,0.0000238235],"domain_scores_gemma":[0.9995964,0.000137342,0.00004224459,0.00004306424,0.000127422,0.00005344955],"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":[0.00003005765,0.00002652485,0.00009997332,0.0001629156,0.00003552963,0.0001777632,0.00009775603,0.01485299,0.004055194,0.9641024,0.003740454,0.01261832],"study_design_scores_gemma":[0.00001443501,0.00001597833,0.0002112236,0.00002460389,0.00002190956,0.0002460209,0.000041761,0.1971467,0.0008125073,0.788205,0.01323284,0.00002709925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02303559,0.012836,0.9112731,0.003333163,0.003085388,0.00008416171,0.0002594458,0.00029154,0.04580165],"genre_scores_gemma":[0.5254655,0.01965832,0.2814318,0.002239964,0.004572188,0.0003417598,0.0007798252,0.0008266042,0.1646841],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004405579,"threshold_uncertainty_score":0.01473814,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1591226714201462,"score_gpt":0.3179591093839259,"score_spread":0.1588364379637796,"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."}}