An algebraic derivative associated to the operator $D^δ$

• Autorzy: V. M. Almeida , N. Castro , J. Rodríguez
• Języki publikacji: EN

Abstrakty

EN

In this paper we get an algebraic derivative relative to the convolution $(f*g)(t)=∫_0^ti f(t-ψ)g(ψ)dψ$ associated to the operator $D^δ$, which is used, together with the corresponding operational calculus, to solve an integral-differential equation. Moreover we show a certain convolution property for the solution of that equation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2000
• Tom: 53
• Numer: 1
• Strony: 71-78

Daty

wydano

2000

Twórcy

autor

V. M. Almeida

• Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna (Tenerife), Canary Islands, Spain

autor

N. Castro

• Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna (Tenerife), Canary Islands, Spain

autor

J. Rodríguez

• Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna (Tenerife), Canary Islands, Spain

Bibliografia

• [1] J. A. Alamo and J. Rodríguez, Cálculo operacional de Mikusiński para el operador de Riemann-Liouville y su generalizado, Rev. Acad. Canar. Cienc. 1 (1993), 31-40.
• [2] W. Kierat and K. Skórnik, A remark on solutions of the Laguerre differential equation, Integral Transforms and Special Functions 1 (1993), 315-316.
• [3] J. Mikusiński, Operational Calculus, Pergamon, Oxford, 1959.
• [4] H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Ellis Horwood, 1984.
• [5] Y K. Yosida, Operational Calculus. A Theory of Hyperfunctions, Springer-Verlag, New York, 1984.