{"id":"W2028576136","doi":"10.1002/mma.2921","title":"Existence of solutions for a damped nonlinear impulsive problem with Dirichlet boundary conditions","year":2013,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Wilfrid Laurier University","funders":"Hunan University; National Natural Science Foundation of China","keywords":"Mathematics; Nonlinear system; Dirichlet boundary condition; Dirichlet distribution; Boundary value problem; Mathematical analysis; Dirichlet problem; Order (exchange); Fixed-point theorem; Boundary (topology); Applied mathematics","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":[0.001089245,0.0009401252,0.0007247978,0.001331335,0.000802877,0.001411964,0.0007472585,0.002414761,0.001748344],"category_scores_gemma":[0.004539399,0.0003860563,0.0007411512,0.0004346655,0.002380592,0.002172567,0.002542078,0.001605986,0.0002197121],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004443141,"about_ca_system_score_gemma":0.0006974951,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000663965,"about_ca_topic_score_gemma":0.0002877221,"domain_scores_codex":[0.9997087,0.00008735844,0.0000227291,0.00005867424,0.00007660661,0.00004583376],"domain_scores_gemma":[0.9985787,0.0008668927,0.0001625422,0.00004119391,0.000227377,0.0001233895],"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":[0.0002729646,0.0001424176,0.002384827,0.001252865,0.0001191127,0.002620305,0.001571251,0.1539256,0.07011937,0.7294769,0.001989025,0.03612544],"study_design_scores_gemma":[0.00008827872,0.0001357302,0.0004683208,0.0001505868,0.0000493979,0.0006626634,0.0005848284,0.7824554,0.02182548,0.1896401,0.003861996,0.00007732611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2661276,0.00244659,0.7140093,0.00200014,0.0003720412,0.0001060595,0.00007220908,0.00009411062,0.01477202],"genre_scores_gemma":[0.9021753,0.002042706,0.07916692,0.000246421,0.0002356754,0.0001696355,0.00012065,0.00006914816,0.01577362],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002414761,"threshold_uncertainty_score":0.005848825,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1229127178779123,"score_gpt":0.4327724968466583,"score_spread":0.3098597789687459,"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."}}