General solutions of second-order linear difference equations of Euler type

• Autorzy: Hongyo A. , Yamaoka N.

Identyfikatory

DOI

10.7494/OpMath.2017.37.3.389

• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to give general solutions of linear difference equations which are related to the Euler-Cauchy differential equation [formula] or more general linear differential equations. We also show that the asymptotic behavior of solutions of the linear difference equations are similar to solutions of the linear differential equations.

Słowa kluczowe

EN

Euler-Cauchy equations; oscillation; conditionally oscillatory

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 3
• Strony: 389--402
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Hongyo A.

• Osaka Prefecture University Department of Mathematical Sciences Sakai 599-8531, Japan

autor

Yamaoka N.

• Osaka Prefecture University Department of Mathematical Sciences Sakai 599-8531, Japan

Bibliografia

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• [13] J. Sugie, N. Yamaoka, An infinite sequence of nonoscillation theorems for second-order nonlinear differential equations of Euler type, Nonlinear Anal. 50 (2002), 373–388.
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• [16] N. Yamaoka, J. Sugie, Multilayer structures of second-order linear differential equations of Euler type and their application to nonlinear oscillations, Ukraïn. Mat. Zh. 58 (2006), 1704–1714.
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Uwagi

EN

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).