Explicit Solutions for a Class of Nonlinear PDE that Arise in Allocation Problems

2006 ◽  
Author(s):  
Paul Dupuis ◽  
Jim X. Zhang
Keyword(s):  
Nonlinear Pde ◽  
Explicit Solutions ◽  
Allocation Problems

Explicit Solutions for a General Class of Optimal Allocation Problems

2013 ◽  
Author(s):  
Ka Chun Cheung ◽  
Jan Dhaene ◽  
Yian Vivian Rong ◽  
S. C. P. Yam
Keyword(s):  
General Class ◽  
Optimal Allocation ◽  
Explicit Solutions ◽  
Allocation Problems

scholarly journals ON p – q DUALITY AND EXPLICIT SOLUTIONS IN c ≤ 1 2D GRAVITY MODELS

1995 ◽  
Vol 10 (08) ◽  
pp. 1219-1236 ◽  
Author(s):  
S. KHARCHEV ◽  
A. MARSHAKOV
Keyword(s):  
String Theory ◽  
Exact Solutions ◽  
2D Gravity ◽  
Integral Formula ◽  
Integral Representations ◽  
Gravity Models ◽  
Explicit Solutions ◽  
String Equation ◽  
Duality Transformation

We study the role of integral representations in the description of nonperturbative solutions to c ≤ 1 string theory. A generic solution is determined by two functions, W(x) and Q(x), which behave at infinity like xp and xq respectively. The integral formula for arbitrary (p, q) models is derived, which explicitly realizes a duality transformation between (p, q) and (q, p) 2D gravity solutions. We also discuss the exact solutions to the string equation and reduction condition and present several explicit examples.

Complexity of Allocation Problems in Spectrum Markets with Interference Complementarities

2013 ◽  
Vol 31 (3) ◽  
pp. 489-499 ◽  
Author(s):  
Hang Zhou ◽  
Randall Berry ◽  
Michael L. Honig ◽  
Rakesh Vohra
Keyword(s):  
Allocation Problems ◽  
Spectrum Markets

Explicit Solutions of the Coupled Bogoyavlensky Lattice 1(2) Hierarchy

2021 ◽  
Vol 76 (2) ◽  
Author(s):  
Xianguo Geng ◽  
Wei Liu ◽  
Bo Xue
Keyword(s):  
Explicit Solutions
Sign in / Sign up

Export Citation Format

Share Document