Existence and comparison theorems for partial differential equations of Riccati type

1982 ◽  
Vol 36 (2) ◽  
pp. 263-276 ◽  
Author(s):  
S. Omatu ◽  
J. H. Seinfeld
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Comparison Theorems ◽  
Partial Differential

scholarly journals Comparison theorems for ultrahyperbolic equations

1978 ◽  
Vol 1 (1) ◽  
pp. 31-40 ◽  
Author(s):  
C. C. Travis ◽  
E. C. Young
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Comparison Theorems ◽  
Singular Case ◽  
Partial Differential

Sturmian comparison theorems are obtained for solutions of a class of normal and singular ultrahyperbolic partial differential equations. In the singular case, solutions are considered which satisfy non-standard boundary conditions.

scholarly journals Comparison theorems for multicomponent diffusion systems: developments since 1961

2000 ◽  
Vol 4 (2) ◽  
pp. 151-163
Author(s):  
M. I. Nelson
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Existence And Uniqueness ◽  
Multicomponent Diffusion ◽  
Comparison Theorems ◽  
Numerical Techniques ◽  
Uniqueness Of Solutions ◽  
Partial Differential ◽  
Diffusion Systems ◽  
Component Systems

Comparison theorems may be used to prove the existence and uniqueness of solutions to certain types of partial differential equations. They provide bounds for solutions and can be used as the basis of numerical techniques for the computation of solutions. In 1961 Alex McNabb published one of the first papers extending their use to multi-component systems. Developments in the theory and applications of such results, through citations of this original paper, are reviewed.

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