Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities

• Autorzy: Chidouh A. , Torres D. F. M.

Identyfikatory

DOI

10.7494/OpMath.2018.38.1.31

• Języki publikacji: EN

Abstrakty

EN

We prove existence of positive solutions to a boundary value problem depending on discrete fractional operators. Then, corresponding discrete fractional Lyapunov-type inequalities are obtained.

Słowa kluczowe

EN

fractional difference equations; Lyapunov-type inequalities; fractional boundary value problems; positive solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 1
• Strony: 31--40
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Chidouh A.

• Houari Boumedienne University Laboratory of Dynamic Systems Algiers, Algeria

autor

Torres D. F. M.

• Center for Research and Development in Mathematics and Applications (CIDMA) Department of Mathematics University of Aveiro, 3810-193 Aveiro, Portugal

Bibliografia

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• [4] A. Canada, S. Villegas, A Variational Approach to Lyapunov Type Inequalities, Springer--Briefs in Mathematics, Springer, Cham, 2015.
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• [15] A. Liapounoff, Probleme general de la stabilite du mouvement, Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. (2) 9 (1907), 203-474.
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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).