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Journals / Turkish Journal of Mathematics / 1996 / Cilt: 20 - Sayı: 4

Hiberbolik tip denklem sistemi için yarı-eksende stasyoner olmayan ters saçılma problemi

The inverse nonstationary scattering problem for a hyperbolic system of equations on semi-axis

N. Sh. ISKENDEROV
A. YILDIZ
Pages
503–519
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

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

The solution of the problem is generalized for an arbitrary natural number n applying the properties of separation of factors by means of operator transformations to some elements of the scattering operator and its inverse as well as reducing the scattering problem given on a semi-axis to the scattering problem on the whole-axis.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the direct and inverse nonstationary scattering problem for a hyperbolic system of n equations (n>3) on a semi-axis is studied.
📊
Key Findings & Data:The coefficients of the system are uniquely determined according to scattering operator.
💡
Conclusion & Impact:The solution of the problem is generalized for an arbitrary natural number n applying the properties of separation of factors by means of operator transformations to some elements of the scattering operator and its inverse as well as reducing the scattering problem given on a semi-axis to the scattering problem on the whole-axis.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, the direct and inverse nonstationary scattering problem for a hyperbolic system of n equations (n>3) on a semi-axis is studied. The coefficients of the system are uniquely determined according to scattering operator. The solution of the problem is generalized for an arbitrary natural number n applying the properties of separation of factors by means of operator transformations to some elements of the scattering operator and its inverse as well as reducing the scattering problem given on a semi-axis to the scattering problem on the whole-axis.

Özet

Bu makalede, 1. mertebeden hiperbolik tip n denklem sistemi için (n > 3) yarı eksende düz ve ters saçılma problemi incelenmiştir. Denklem sisteminin katsayıları, saçılma operatörüne göre tek türlü olarak belirlenmiştir. Saçılma operatörünün ve tersinin bazı elemanlarının operatör dönüşümleri yardımı ile çarpanlara ayrılabilmesi özelliklerini kullanarak ve yarı eksendeki saçılma problemini tüm eksendeki saçılma problemine indirgeyerek; problemin çözümü keyfi n doğal sayısı için genelleştirilmiştir.

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Cite This Article

ISKENDEROV, N. S., YILDIZ, A. (2022). Hiberbolik tip denklem sistemi için yarı-eksende stasyoner olmayan ters saçılma problemi. Turkish Journal of Mathematics, Cilt: 20 - Sayı: 4, 503–519. https://ajindex.com/articles/609018

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References (11)

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