Journals / Cumhuriyet Science Journal / 2019 / Cilt: 40 - Sayı: 1

On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations

İkinci Mertebeden Evrim Denklemleri için Kötü Konulmuş Bir Sınır Değer Probleminin Çözümü Üzerine

Pages
173–178
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

By using the given data, we reduce the problem to a functionalequation and we obtain a new representation for the solution by means of the Hurwitz formula.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we deal with an ill-posed boundary value problem for multidimensional second-orderevolution equations with variable coefficients.
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Key Findings & Data:In this work, we deal with an ill-posed boundary value problem for multidimensional second-orderevolution equations with variable coefficients.
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Conclusion & Impact:By using the given data, we reduce the problem to a functionalequation and we obtain a new representation for the solution by means of the Hurwitz formula.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, we deal with an ill-posed boundary value problem for multidimensional second-orderevolution equations with variable coefficients. By using the given data, we reduce the problem to a functionalequation and we obtain a new representation for the solution by means of the Hurwitz formula.

Özet

Bu çalışmada, çok boyutlu değişken katsayılı ikinci mertebeden evrim denklemleri için bir kötü konulmuş sınır değer problemi ele alınmıştır. Veriler kullanılarak problem bir fonksiyonel denkleme indirgenmiş ve Hurwitz formülü yardımıyla bir çözüm elde edilmiştir.

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Cite This Article

GÖLGELEYEN, İ., YILDIZ, M. (2022). On the Solution of An Ill-Posed Boundary Value Problem for Second-Order Evolution Equations. Cumhuriyet Science Journal, Cilt: 40 - Sayı: 1, 173–178. https://ajindex.com/articles/477880

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References (2)

  1. Anikonov, Yu. E., Neshchadim, M. V. Representations for the Solutions and Coefficients of Second- Order Differential Equations, Journal of Applied and Industrial Mathematics, 7-1 (2013) 15-21.
  2. Markushevich, A. I. Introduction to the classical theory of Abelian functions, Translations of Mathematical Monographs, 96, American Mathematical Society, Providence, R. I., 1992.