scholarly journals Global existence, uniform decay, and exponential growth of solutions for a system of viscoelastic Petrovsky equations

2014 ◽  
Vol 38 ◽  
pp. 87-109 ◽  
Author(s):  
Faramarz TAHAMTANI ◽  
Amir PEYRAVI
Keyword(s):  
Global Existence ◽  
Exponential Growth ◽  
Uniform Decay ◽  
Growth Of Solutions

scholarly journals On the exponential growth of solutions to non-linear hyperbolic equations

1989 ◽  
Vol 12 (3) ◽  
pp. 539-545 ◽  
Author(s):  
H. Chi ◽  
H. Poorkarimi ◽  
J. Wiener ◽  
S. M. Shah
Keyword(s):  
Exponential Growth ◽  
Hyperbolic Equations ◽  
Uniqueness Theorems ◽  
Continuous Solutions ◽  
Unbounded Region ◽  
Non Linear ◽  
Growth Of Solutions ◽  
Linear Hyperbolic Equations

Existence-uniqueness theorems are proved for continuous solutions of some classes of non-linear hyperbolic equations in bounded and unbounded regions. In case of unbounded region, certain conditions ensure that the solution cannot grow to infinity faster than exponentially.

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