Asymptotic behavior of even-order noncanonical neutral differential equations

• Autorzy: Moaaz Osama , Muhib Ali , Abdeljawad Thabet , Santra Shyam S. , Anis Mona

Identyfikatory

DOI

10.1515/dema-2022-0001

• Języki publikacji: EN

Abstrakty

EN

In this article, we study the asymptotic behavior of even-order neutral delay differential equation (a⋅(u+ρ⋅u∘τ)(n−1))′(ℓ)+h(ℓ)u(g(ℓ))=0,ℓ≥ℓ0, where n≥4, and in noncanonical case, that is, ∞∫a−1(s)ds<∞. To the best of our knowledge, most of the previous studies were concerned only with the study of n-order neutral equations in canonical case. By using comparison principle and Riccati transformation technique, we obtain new criteria which ensure that every solution of the studied equation is either oscillatory or converges to zero. Examples are presented to illustrate our new results.

Słowa kluczowe

EN

differential equations; even-order; oscillatory behavior; noncanonical case

PL

równania różniczkowe; oscylacja

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 28--39
• Opis fizyczny: Bibliogr. 40 poz.

Twórcy

autor

Moaaz Osama

• Mathematics Department, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
• Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
• Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy

autor

Muhib Ali

• Department of Mathematics, Faculty of Education – Al-Nadirah, Ibb University, Ibb, Yemen

autor

Abdeljawad Thabet

• Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
• Department of Medical Research, China Medical University, Taichung 40402, Taiwan

autor

Santra Shyam S.

• Department of Mathematics, JIS College of Engineering, Kalyani 741235, India

autor

Anis Mona

• Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).