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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

Principal functions of impulsive difference operators on semi axis

İbrahim Erdal(ANKARA UNIVERSITY)0000-0002-4445-2389
Şeyhmus Yardımcı(ANKARA UNIVERSITY)0000-0002-1062-9000
Pages
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Publication Date
2019-08-01
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

At last, we present principal functions of corresponding impulsive operator.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we investigate the continuous spectrum and resolvent operator of a second-order difference operator with an impulsive condition.
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Key Findings & Data:Then, under certain conditions, we prove finiteness of eigenvalues, spectral singularities.
💡
Conclusion & Impact:At last, we present principal functions of corresponding impulsive operator.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:impulsive condition · difference operator · spectrum

Abstract

In this paper, we investigate the continuous spectrum and resolvent operator of a second-order difference operator with an impulsive condition. Then, under certain conditions, we prove finiteness of eigenvalues, spectral singularities. At last, we present principal functions of corresponding impulsive operator.

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Cite This Article

Erdal, İ., Yardımcı, Ş. (2019). Principal functions of impulsive difference operators on semi axis. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.481747

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