Stochastic monotonicity and queues subject to tidal interruptions

1971 ◽  
Vol 70 (1) ◽  
pp. 61-75 ◽  
Author(s):  
J. C. Gittins
Keyword(s):  
Integral Equation ◽  
Approximate Solutions ◽  
Stochastic Monotonicity ◽  
Equation Formulation ◽  
Integral Equation Formulation ◽  
Waiting Line

AbstractA generalization is given of the notion of stochastic monotonicity. This is used in setting up, and showing how to obtain approximate solutions for, an integral equation formulation of GI/G/l queues, when access to the waiting-line is subject to periodic interruptions.

On periodic water-waves and their convergence to solitary waves in the long-wave limit

1981 ◽  
Vol 303 (1481) ◽  
pp. 633-669 ◽  
Keyword(s):  
Integral Equation ◽  
Solitary Waves ◽  
Water Waves ◽  
Periodic Problem ◽  
Existence Theory ◽  
Periodic Waves ◽  
Equation Formulation ◽  
Long Wave ◽  
Integral Equation Formulation ◽  
Wave Limit

A detailed discussion of Nekrasov’s approach to the steady water-wave problems leads to a new integral equation formulation of the periodic problem. This development allows the adaptation of the methods of Amick & Toland (1981) to show the convergence of periodic waves to solitary waves in the long-wave limit. In addition, it is shown how the classical integral equation formulation due to Nekrasov leads, via the Maximum Principle, to new results about qualitative features of periodic waves for which there has long been a global existence theory (Krasovskii 1961, Keady & Norbury 1978).

An integral equation formulation for the unconfined flow of groundwater with variable inlet conditions

1995 ◽  
Vol 18 (1) ◽  
pp. 15-36 ◽  
Author(s):  
Z. -X. Chen ◽  
G. S. Bodvarsson ◽  
P. A. Witherspoon ◽  
Y. C. Yortsos
Keyword(s):  
Integral Equation ◽  
Equation Formulation ◽  
Unconfined Flow ◽  
Integral Equation Formulation ◽  
Inlet Conditions
Sign in / Sign up

Export Citation Format

Share Document