Picard–Lindelöf theorem
theorem on existence and uniqueness of solutions to first-order equations with given initial conditions
| rdfs:label |
"Picard–Lindelöf theorem"@en
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skos:alt |
"Cauchy–Lipschitz theorem"@en
"Picard's existence theorem"@en
|
| schema:description |
"theorem on existence and uniqueness of solutions to first-order equations with given initial conditions"@en
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|
schema:date |
"2026-07-10T09:08:22+00:00"^^xsd:dateTime |
| schema:version | 2515808496 |
| wikibase:identifiers | 5 |
| wikibase:sitelinks | 21 |
| wikibase:statements | 16 |
| p:P10283 | wd:statement/Q530152-4E37E70D-FEA6-489F-9650-264AC52459E3 |
| p:P138 | wd:statement/Q530152-2c78c17d-4203-cf0f-ca39-a179803b8fd8 |
| wd:statement/Q530152-ad733bb4-461a-ae2d-2b25-540e16e1821c | |
| wd:statement/Q530152-b8d77877-44a7-8bf8-033a-f488e1c5fd41 | |
| wd:statement/Q530152-f985e15c-4004-f079-3b22-7a5ae6620218 | |
| p:P2159 | wd:statement/Q530152-a35b5c6b-4943-7aa4-6ed6-10d450ae18f2 |
| p:P2534 | wd:statement/Q530152-F6A95042-DFEA-4CE5-BE44-B7AACDE27A6E |
| p:P31 | wd:statement/Q530152-3ea8a985-4b60-03fd-51df-ed2b6eab4c15 |
| p:P361 | wd:statement/Q530152-54B94015-EE76-4301-99DE-19BF6CF6B611 |
| p:P6104 | wd:statement/Q530152-633AD423-4234-4EB4-AC69-4D8313896BCA |
| p:P6366 | wd:statement/Q530152-D0A42914-4BCE-4547-9538-D32C6F493DFA |
| p:P646 | wd:statement/Q530152-FE68B8F3-2046-40E1-88C1-D15BF81F0F3B |
| p:P6781 | wd:statement/Q530152-5871ba30-4223-0945-42a7-67d2cde10943 |
| p:P7235 | wd:statement/Q530152-2b9898f3-4dee-7018-2f48-9bc339c5641c |
| wd:statement/Q530152-4ea962d8-4938-7beb-9bb2-18a58b172833 | |
| p:P7554 | wd:statement/Q530152-8548E466-E628-4AC6-BA61-13FC304775AB |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C206929604" |
| wdt:P138 | Charles Émile Picard |
| Rudolf Lipschitz | |
| Augustin-Louis Cauchy | |
| Ernst Leonard Lindelöf | |
| wdt:P2159 | Cauchy problem |
| 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>′</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 |
| wdt:P31 | theorem |
| wdt:P361 | list of theorems |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "206929604" |
| wdt:P646 | "/m/0313qy" |
| wdt:P6781 | "Picard's_Existence_Theorem" |
| wdt:P7235 | "<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>f</mi><mo stretchy="false">:</mo><mi>D</mi><mo stretchy="false" accent="false">→</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<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" |
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