Atıf İçin Kopyala
Pinelas S., Tunç O.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.2022, sa.68, 2022 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
2022
Sayı:
68
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Basım Tarihi:
2022
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Dergi Adı:
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Directory of Open Access Journals
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Anahtar Kelimeler:
 , Lyapunov-Krasovskii functions, delay integro-differential equation, qualitative properties, DIFFERENTIAL EQUATIONS, EXPONENTIAL STABILITY, BOUNDEDNESS, 2ND-ORDER, SYSTEMS
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Van Yüzüncü Yıl Üniversitesi Adresli:
Evet
Özet
In this article, we examine various qualitative features of solutions of a nonlinear delay integro-differential equation. We prove three new theorems which include sufficient conditions on asymptotic stability (AS), integrability, and boundedness of solutions, using a suitable Lyapunov-Krasovskii functional. We present examples that show applications of our results.