A generalization of monodiffric Volterra integral equations
Copyright policy )A generalization of monodiffric Volterra integral equations
The present paper deals with the study of generalized monodiffric Volterra integral equations of the form \[ (1)\quad u(z)=f(z)+\lambda \int^{z}_{0}k(z-t):u(t)dt. \] In Section 2, the author defines the convolution product of p-monodiffric functions and in section 3, he proves some properties of p-monodiffric functions. In Section 4, he extends his earlier result [J. Math. Anal. Appl. 84, 595-613 (1981; Zbl 0478.30040)] on general solutions to the monodiffric Volterra integral equation (1).
Convolution as an integral transform, Volterra integral equations, monodiffric, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), convolution product
Convolution as an integral transform, Volterra integral equations, monodiffric, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), convolution product
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