Sevval Hatice Öter

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Konumunuza özel içerikleri görmek ve online alışveriş yapmak için başka bir ülkeyi veya bölgeyi seçin.

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 <div class="ikas-editor-v1">
 Written by:ŞEVVAL HATİCE ÖTER Department of Mathematics UNDERGRADUATE THESIS Thesis Advisor:Prof. Canan ÇELİK KARAASLANLI İSTANBUL, 2025 This thesis was primarily written in LaTeX. Since it is difficult to display mathematical formulas and other structures on this blog, screenshots from the PDF have been included. <figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/c23ee5de-0301-4df4-b71d-ac0a1f0d133d/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1425;" width="1080" height="1425"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/ccf9c74b-9eac-46ff-96b0-e8d2a54a9af2/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1046;" width="1080" height="1046"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/f5ecb6e3-46f8-4d81-a3d6-3afbdcd41918/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 642;" width="1080" height="642"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/efd6368e-e819-41bd-ab9b-c24710490e32/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 738;" width="1080" height="738"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/a40fd2f9-240e-4371-8cf7-b143ba0e7637/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1419;" width="1080" height="1419"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/a44ce189-3166-46f6-9604-b3af289125ef/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 844;" width="1080" height="844"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/f3bf05bb-6cba-4b65-9d16-07ee2c06b0a2/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1392;" width="1080" height="1392"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/43df188f-9fb4-4b19-ad79-3a4653733e35/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1369;" width="1080" height="1369"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/acaef0c5-f147-4aa2-ac6b-b4a7a0a1415d/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 216;" width="1080" height="216"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/0566f93a-a948-4d5a-b395-d2a6d798264b/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1263;" width="1080" height="1263"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/573e6666-a345-410e-be15-a9b09e735a95/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 306;" width="1080" height="306"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/3c940e92-4e9a-4b37-b74e-b7b10b53eb08/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1396;" width="1080" height="1396"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/3846407c-1bfc-4cad-b9dc-45ca008144d9/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1287;" width="1080" height="1287"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/8082203a-b3d6-43da-9bf1-1a5dbd5184dd/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1004;" width="1080" height="1004"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/037777f0-c1e4-4de4-8f64-84e78dfacbfd/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 561;" width="1080" height="561"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/7f0977fe-ab54-460d-b8bc-6d7f20cfcdda/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1221;" width="1080" height="1221"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/dbb56ff7-8c85-4519-91e5-65a122f2273b/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 386;" width="1080" height="386"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/a23337df-ad08-4386-a5ad-77a9d20d1529/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1432;" width="1080" height="1432"><figcaption class="editor-fig-cap"></figcaption></figure> where: <figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/2da52143-615a-4a00-921d-4bfa093074e4/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 253;" width="1080" height="253"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/e573bce5-8582-47b4-b523-c16050fca704/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 1080 / 1293;" width="1080" height="1293"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/d8f14cc2-56c0-4d13-a00b-1a26731b2e2b/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 730 / 1146;" width="730" height="1146"><figcaption class="editor-fig-cap"></figcaption></figure><figure class="editor-fig-img"><img class="editor-img " src="https://cdn.myikas.com/images/0f9bde95-a9e9-46c8-bfae-7a061b77d97a/aa3da20a-3f99-4c57-a731-50c6a5cfc5d1/image_1080.webp" alt="" style="max-width: 100%; aspect-ratio: 608 / 1054;" width="608" height="1054"><figcaption class="editor-fig-cap"></figcaption></figure> • Its time derivative is non-positive. Thus, the system satisfies the criteria for Lyapunov stability. This stability analysis demon- strates that the neural differential equation model converges to a stable equilibrium, making it suitable for applications requiring robust and predictable dynamics 
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Written by:ŞEVVAL HATİCE ÖTER
Department of Mathematics UNDERGRADUATE THESIS
Thesis Advisor:Prof. Canan ÇELİK KARAASLANLI
İSTANBUL, 2025

STABILITY ANALYSIS OF NEURAL DIFFERENTIAL NETWORKS