On the eigenproblem for convolution integral equations

1971 ◽  
Vol 17 (1) ◽  
pp. 54-61
Author(s):  
A. L. Roark
Keyword(s):  
Integral Equations ◽  
Convolution Integral ◽  
Convolution Integral Equations

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

ANALYSIS OF COLD-STANDBY SYSTEMS — CUTTING AND CLUSTERING THE STATE SPACE

1995 ◽  
Vol 02 (03) ◽  
pp. 327-340 ◽  
Author(s):  
M.N. GOPALAN ◽  
U. DINESH KUMAR
Keyword(s):  
State Space ◽  
Integral Equations ◽  
Initial Conditions ◽  
Approximate Solutions ◽  
The State ◽  
Convolution Integral ◽  
Cold Standby ◽  
Convolution Integral Equations ◽  
Systems Of Integral Equations ◽  
Repair Facility

In this paper two methods, namely cutting and clustering the state space are discussed to find approximate solutions to n-unit cold-standby system with a single repair facility. It has been assumed that the failure rate is constant and the repair time is arbitrarily distributed. A mathematical model is developed using semi-regenerative phenomena and systems of convolution integral equations satisfied by various state probabilities corresponding to different initial conditions are obtained. Explicit expressions for the availability and the reliability of the system are obtained. An iterative method is used to solve the systems of integral equations obtained and a comparative study has been carried out between exact and approximate solutions.

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