@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q530152 rdfs:label "مبرهنة بيكار ليندلوف"@ar,
        "Teorema de Picard-Lindelöf"@ca,
        "Picardova–Lindelöfova věta"@cs,
        "Satz von Picard-Lindelöf"@de,
        "Θεώρημα Πικάρ–Λίντελεφ"@el,
        "Picard–Lindelöf theorem"@en,
        "teoremo de Picard-Lindelöf"@eo,
        "teorema de Picard-Lindelöf"@es,
        "théorème de Cauchy-Lipschitz"@fr,
        "teorema de Picard-Lindelöf"@gl,
        "משפט הקיום והיחידות"@he,
        "teorema di esistenza e unicità per un problema di Cauchy"@it,
        "ピカール・リンデレフの定理"@ja,
        "피카르-린델뢰프 정리"@ko,
        "Пикар-Линделефова теорема"@mk,
        "Stelling van Picard-Lindelöf"@nl,
        "twierdzenie Picarda"@pl,
        "Teorema ëd Cauchy-Lipschitz"@pms,
        "teorema de Picard-Lindelöf"@pt,
        "teorema Picard–Lindelöf"@ro,
        "теорема Пикара"@ru,
        "Picard-Lindelöfov izrek"@sl,
        "Picard–Lindelöfs sats"@sv,
        "Picard-Lindelöf teoremi"@tr,
        "теорема Пікара — Лінделефа"@uk,
        "柯西－利普希茨定理"@zh ;
    schema1:dateModified "2026-07-10T09:08:22+00:00"^^xsd:dateTime ;
    schema1:description "teorema matemàtic"@ca,
        "mathematischer Satz"@de,
        "theorem on existence and uniqueness of solutions to first-order equations with given initial conditions"@en,
        "théorème d'analyse"@fr,
        "teorema matemático"@gl,
        "twierdzenie analizy matematycznej o równaniach różniczkowych"@pl,
        "teoremă despre existența și unicitatea soluției unei ecuații diferențiale de ordinul întâi cu condiții inițiale"@ro,
        "izrek o obstoju in enkratnosti rešitev enačb prvega reda z danimi začetnimi pogoji"@sl,
        "matematisk sats"@sv ;
    schema1:version 2515808496 ;
    wikibase:identifiers 5 ;
    wikibase:sitelinks 21 ;
    wikibase:statements 16 ;
    skos:altLabel "Teorema d'existència de Picard"@ca,
        "Teorema de Cauchy-Lipschitz"@ca,
        "Cauchy–Lipschitz theorem"@en,
        "Picard's existence theorem"@en,
        "teorema di Cauchy-Lipschitz"@it,
        "teorema di Picard-Lindelöf"@it,
        "teorema di esistenza di Picard"@it,
        "ピカール–リンデレフの定理"@ja,
        "ピカール＝リンデレフの定理"@ja,
        "teorema Cauchy–Lipschitz"@ro,
        "teorema de existență a lui Picard"@ro,
        "теорема Пикара — Линделефа"@ru,
        "теорема Пикара — Линделёфа"@ru,
        "теорема Пикара-Линделефа"@ru,
        "теорема Пикара-Линделёфа"@ru,
        "Cauchy-Lipschitzev izrek"@sl,
        "Picardov izrek o obstoju"@sl ;
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        wds:Q530152-4ea962d8-4938-7beb-9bb2-18a58b172833 ;
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    wdt:P138 wd:Q286375,
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    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><msup><mi>y</mi><mo>&#x2032;</mo></msup><mo stretchy=\"false\">(</mo><mi>t</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mi>f</mi><mo stretchy=\"false\">(</mo><mi>t</mi><mo>,</mo><mi>y</mi><mo stretchy=\"false\">(</mo><mi>t</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">)</mo><mo>,</mo><mspace width=\"2em\"></mspace><mi>y</mi><mo stretchy=\"false\">(</mo><msub><mi>t</mi><mrow data-mjx-texclass=\"ORD\"><mn>0</mn></mrow></msub><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><msub><mi>y</mi><mrow data-mjx-texclass=\"ORD\"><mn>0</mn></mrow></msub></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
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    wdt:P6366 "206929604" ;
    wdt:P646 "/m/0313qy" ;
    wdt:P6781 "Picard's_Existence_Theorem" ;
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        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mi>y</mi><mo stretchy=\"false\">(</mo><mi>t</mi><mo stretchy=\"false\">)</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P7554 "Cauchy-Lipschitz_theorem" .

