{"id":16024062,"url":"https://github.com/danielpancake/existence-uniqueness-for-cauchy-problem-theory","last_synced_at":"2026-01-19T02:32:36.830Z","repository":{"id":186501097,"uuid":"675116045","full_name":"danielpancake/existence-uniqueness-for-cauchy-problem-theory","owner":"danielpancake","description":"Covers basics of metric spaces, normed spaces, pointwise / uniform convergence, the Banach Fixed Point Theorem and its application in the Picard-Lindelöf Theorem for existence and uniqueness of solutions to IVPs for ODEs","archived":false,"fork":false,"pushed_at":"2023-08-06T11:38:16.000Z","size":130,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-04-05T04:17:14.302Z","etag":null,"topics":["presentation-slides"],"latest_commit_sha":null,"homepage":"","language":"TeX","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":null,"status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/danielpancake.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":null,"code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2023-08-05T20:44:36.000Z","updated_at":"2024-10-14T17:48:50.000Z","dependencies_parsed_at":null,"dependency_job_id":"15aab699-c4fe-4927-a992-06ff7b1775af","html_url":"https://github.com/danielpancake/existence-uniqueness-for-cauchy-problem-theory","commit_stats":{"total_commits":5,"total_committers":1,"mean_commits":5.0,"dds":0.0,"last_synced_commit":"638827adf17a4d8b3b4f2a7fb8228839129206ab"},"previous_names":["danielpancake/existence-uniqueness-for-cauchy-problem-theory"],"tags_count":1,"template":false,"template_full_name":null,"purl":"pkg:github/danielpancake/existence-uniqueness-for-cauchy-problem-theory","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/danielpancake%2Fexistence-uniqueness-for-cauchy-problem-theory","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/danielpancake%2Fexistence-uniqueness-for-cauchy-problem-theory/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/danielpancake%2Fexistence-uniqueness-for-cauchy-problem-theory/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/danielpancake%2Fexistence-uniqueness-for-cauchy-problem-theory/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/danielpancake","download_url":"https://codeload.github.com/danielpancake/existence-uniqueness-for-cauchy-problem-theory/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/danielpancake%2Fexistence-uniqueness-for-cauchy-problem-theory/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":28558231,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-01-19T00:46:33.223Z","status":"online","status_checked_at":"2026-01-19T02:00:08.049Z","response_time":67,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["presentation-slides"],"created_at":"2024-10-08T19:05:16.777Z","updated_at":"2026-01-19T02:32:36.814Z","avatar_url":"https://github.com/danielpancake.png","language":"TeX","funding_links":[],"categories":[],"sub_categories":[],"readme":"# Existence and Uniqueness of the Solution to Cauchy Problem\n\nThis presentation covers some key concepts in metric spaces, including Banach's fixed-point theorem, notions of convergence, normed spaces, spaces of continuous functions, and the Picard–Lindelöf theorem.\n\n## Overview\n\n- Metric spaces\n- Banach's fixed-point Theorem\n  - Proof for uniqueness of a fixed-point\n  - Proof for existence of a fixed-point\n- Pointwise and Uniform convergence\n- Normed spaces\n- Space of continuous functions\n- Picard–Lindelöf Theorem\n- References\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fdanielpancake%2Fexistence-uniqueness-for-cauchy-problem-theory","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fdanielpancake%2Fexistence-uniqueness-for-cauchy-problem-theory","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fdanielpancake%2Fexistence-uniqueness-for-cauchy-problem-theory/lists"}