Nonexistence theorem

2008 ◽  
Vol 200 (2677) ◽  
pp. 21
Author(s):  
Dave Prichard
Keyword(s):  
Nonexistence Theorem

A Nonexistence Theorem for Explicit A-Stable Methods

1974 ◽  
Vol 28 (128) ◽  
pp. 1053 ◽  
Author(s):  
Olavi Nevanlinna ◽  
Aarne H. Sipila
Keyword(s):  
Nonexistence Theorem

scholarly journals Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Liang Fei ◽  
Gao Hongjun
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Damping ◽  
Initial Energy ◽  
Nonlinear Wave Equations ◽  
Source Terms ◽  
Nonexistence Theorem ◽  
Positive Initial Energy ◽  
Global Nonexistence ◽  
Damping And Source Terms

This work is concerned with a system of nonlinear wave equations with nonlinear damping and source terms acting on both equations. We prove a global nonexistence theorem for certain solutions with positive initial energy.

A very special nonexistence theorem for abelian difference sets

2003 ◽  
Vol 80 (1) ◽  
pp. 18-24
Author(s):  
Gerhard Gerlich ◽  
Udo Ott
Keyword(s):  
Difference Sets ◽  
Nonexistence Theorem

scholarly journals On positive solutions of some semilinear elliptic equations

1991 ◽  
Vol 50 (3) ◽  
pp. 343-355 ◽  
Author(s):  
Shin-Hwa Wang ◽  
Nicholas D. Kazarinoff
Keyword(s):  
Lower Bound ◽  
Existence Theorem ◽  
Positive Solutions ◽  
Elliptic Equations ◽  
Semilinear Elliptic Equations ◽  
Number Of Solutions ◽  
Nonexistence Theorem ◽  
Semilinear Elliptic ◽  
Existence Of Positive Solutions ◽  
Bound Theorem

AbstractThe existence of positive solutions of some semilinear elliptic equations of the form −Δu = λf(u) is studied. The major results are a nonexistence theorem which gives a λ* = λ*(f,Ω) > 0 below which no positive solutions exist and a lower bound theorem for umax for Ω a ball. As a corollary of the nonexistence theorem that describes the dependence of the number of solutions on λ, two other nonexistence theorems, and an existence theorem are also proved.

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