scholarly journals Existence of the solutions to convolution equations with distributional kernels

2017 ◽  
Vol 6 (1) ◽  
pp. 1
Author(s):  
Alexander G. Ramm
Keyword(s):  
Integral Equations ◽  
Convolution Integral ◽  
Volterra Type ◽  
Convolution Integral Equations ◽  
Convolution Equations

It is proved that a class of convolution integral equations of the Volterra type has a globalsolution, that is, solutions defined for all \(t\ge 0\). Smoothness of the solution is studied.

scholarly journals The product of generalized polynomials sets pertaining to a class of convolution integral equations

2009 ◽  
Vol 42 (3) ◽  
Author(s):  
V. B. L. Chaurasia ◽  
Mukesh Agnihotri
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Mellin Transform ◽  
Convolution Integral ◽  
Generalized Polynomials ◽  
Fredholm Type ◽  
Convolution Integral Equation ◽  
Convolution Integral Equations

AbstractThe purpose of this paper is to obtain a certain class of convolution integral equation of Fredholm type with the product of two generalized polynomials sets. Using of the Mellin transform technique; we have established solution of the integral equation.

Theory and Applications of Convolution Integral Equations

1995 ◽  
Vol 79 (484) ◽  
pp. 231
Author(s):  
Adam McBride ◽  
H. M. Srivastava ◽  
R. G. Buschman
Keyword(s):  
Integral Equations ◽  
Convolution Integral ◽  
Convolution Integral Equations
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